1,368 Video Lessons

Select the section below that fits the topic that you need help on. All our 1,368 Pre-Algebra videos are linked to our YouTube Channel and are Free to watch. Enjoy!

## BASICS – 81 Video Lessons

## READING AND WRITING WHOLE NUMBERS

- seven million
- five million, forty thousand
- four million, thirty
- four hundred million, four
- four hundred million
- nine thousand, one hundred ninety-one
- one thousand, three hundred eighty
- fifty thousand, two hundred ninety
- seventy thousand, six hundred
- nine hundred seventy-two thousand, three
- five hundred forty-eight million, eight hundred ninety-eight thousand, seven hundred eighty-three
- seven hundred ninety-one million, eight hundred twenty-one thousand, six hundred thirty-seven
- five hundred fourty-seven million, two hundred eighty-six thousand, three hundred eighty
- six hundred sixty-seven million, two hundred seventy-two thousand, two hundred seventy
- six hundred thirty-five million, eight hundred forty-four thousand, four hundred ninety-four
- 40,000,090
- 300,050,000
- 1,000,000
- 100,200,020
- 680,000,000
- 19,040
- 930,010
- 2,482
- 509,650
- 7,608
- 461,955
- 318,950
- 638,530
- 693,186
- 88,917

## ROUNDING NUMBERS

- 8,632,051
- 25,952,938
- 803,119
- 73,693
- 2,461,612,242
- 789,132,377
- 9,885,659,260; billions
- 2,628,259; thousands
- 347,168; ten thousands
- 9,727,322,054; billions
- 1,399,179; thousands
- 271,156,694; millions
- 44.5443495
- 5.3373959
- 8.7495980
- 74.91
- 0.72091
- 23.0368
- 9.3113; thousandths
- 6.9788; tenths
- 6.3761; tenths
- 1.7354948; hundred-thousandths
- 1.495485; thousandths
- 8.121; hundredths

## ARITHMETIC – 291 Video Lessons

## ROUNDING NUMBERS

- 8,632,051
- 25,952,938
- 803,119
- 73,693
- 2,461,612,242
- 789,132,377
- 9,885,659,260; billions
- 2,628,259; thousands
- 347,168; ten thousands
- 9,727,322,054; billions
- 1,399,179; thousands
- 271,156,694; millions
- 44.5443495
- 5.3373959
- 8.7495980
- 74.91
- 0.72091
- 23.0368
- 9.3113; thousandths
- 6.9788; tenths
- 6.3761; tenths
- 1.7354948; hundred-thousandths
- 1.495485; thousandths
- 8.121; hundredths

## VARIABLE AND VERBAL EXPRESSIONS

## ADDING/SUBTRACTING INTEGERS

## ADDING/SUBTRACTING DECIMALS

- 5.4 + (-9.7)
- 10.8 + (-4.73)
- (-0.5) + 0.3
- (-4.79) + (-0.4)
- 3.305 + 1.7
- (-3.6) + 0.43
- (-4.3) + 14.5
- (-7.1) + 3.63
- 13.7 + 3.2
- (-10.9) + 6.1
- 2.2 – 7.3
- (-8.1) – (-8.9)
- 2.9 – 9.4
- (-3.9) – 8.9
- 9.8 – 7.1
- (-18.278) – (-6.8)
- 17.9 – (-19.4)
- 15.5 – 15.5
- 1.58 – (-13.6)
- 1.81 – 17.17
- 19.4 + 24.2
- (-14.8) – (-9.7)
- (-9.1) + 3.5
- 0.96 – 8.5
- 9.5 – (-19.3)
- 3.4 – (-12.1)
- 8.7 + 3.8 + 12.3
- (-13.6) + 12 – (-15.5)
- 3.4 – 5 – 10.4
- (-5.6) – (-12.6) + (-6.6)

## ADDING AND SUBTRACTING FRACTIONS AND MIXED NUMBERS

- 5/4 – 3/4
- 3/2 – 1/2
- 2/5 + 4/5
- 1/3 – 1/3
- 6 – 1/6
- 1/2 – 1/2
- 1/5 + 1/5
- 7/6 – 5/6
- (-4/5) – 7/8
- 1/3 – (-5/3)
- (-1/3) + 3/8
- (-10/7) + 1/6
- 9/5 + (-4/3)
- 2 – 13/8
- 9/5 – 5/8
- (-4/3) – (-3/2)
- (-1) – (-2 2/5)
- (-3 3/5) – 4 2/5
- 3 6/7 + (-1 1/7)
- 1 2/7 + (-3 4/7)
- 2 1/3 + (-1 2/3)
- (-1 3/4) + (-3 3/4)
- (-1 7/8) + (-3 1/2)
- (-2 7/8) + (-1 1/2)
- (-2 5/6) – (-1 1/4)
- (-3 5/8) – 4 2/5
- 1 2/5 – (-3 3/4)
- 2 4/5 – 5/8

## ORDER OF OPERATIONS

- (30 – 3) ÷ 3
- (21 – 5) ÷ 8
- 1 + 7^2
- 5 x 4 – 8
- 8 + 6 x 9
- 3 + 17 x 5
- 7 + 12 x 11
- 15 + 40 ÷ 20
- 20 + 16 – 15
- 19 – 15 – 3
- 9 x (3 + 3) ÷ 6
- (9 + 18 – 3) ÷ 8
- 9 + 6 ÷ (8 – 2)
- 4(4 ÷ 2 + 4)
- 6 + (5 + 8) x 4
- 6 x 6 – (7 + 5)
- (9 x 2) ÷ (2 + 1)
- 2 – (4 + 3 – 6)
- 7 x 7 – (8 – 2)
- 9 – 7 – 6 ÷ 6
- (4 – 1 + 8 ÷ 8) x 5
- (10 x 2) ÷ (1 + 1)
- 7 x 9 – 7 – 3 x 5
- 8 – 1 – (18 – 2) ÷ 8

## EVALUATING VARIABLE EXPRESSIONS

- n^2 – m; use m = 7 and n = 8
- 8(x – y); use x = 5 and y = 2
- yx ÷ 2; use x = 7 and y = 2
- m – n ÷ 4; use m = 5 and n = 8
- x – y + 6; use x = 6 and y = 1
- z + x^3; use x = 1 and z = 19
- y + yx; use x = 15 and y = 8
- q ÷ 6 + p; use p = 10 and q = 12
- x + 8 – y; use x = 20 and y = 17
- 15 – (m + p); use m = 3 and p = 10
- 10 – x + y ÷ 2; use x = 5 and y = 2
- p – 2 + qp; use p = 7 and q = 4
- zy + 4y; use y = 5 and z = 2
- b(a + b) + a; use a = 9 and b = 4
- p^2 ÷ 4 – m; use m = 3 and p =4
- x(y ÷ 3)^2; use x = 4 and y = 9
- 4 + m + n – m; use m = 4 and n = 9
- qp + q – p; use p = 7 and q = 3
- mn ÷ 6 + 10; use m = 7 and n = 6
- h + j(j – h); use h = 2 and j = 6
- (b – 1)^2 + a^2; use a = 6 and b = 1
- y(x – (9 – 4y)); use x = 4 and y = 2
- x – (x – (x – y^3)); use x = 9 and y = 1
- j(h – 9)^3 + 2; use h = 9 and j = 8

## NUMBER THEORY – 129 Video Lessons

- Divisibility and Factors
- Factors and Factorization
- Factoring Monomials
- Greatest Common Factor
- Least Common Multiple

## ALGEBRAIC EXPRESSIONS – 75 Video Lessons

- Evaluating Variable Expressions
- Simplifying Variable Expressions
- The Distributive Property

## EVALUATING VARIABLE EXPRESSIONS

- n^2 – m; use m = 7 and n = 8
- 8(x – y); use x = 5 and y = 2
- yx ÷ 2; use x = 7 and y = 2
- m – n ÷ 4; use m = 5 and n = 8
- x – y + 6; use x = 6 and y = 1
- z + x^3; use x = 1 and z = 19
- y + yx; use x = 15 and y = 8
- q ÷ 6 + p; use p = 10 and q = 12
- x + 8 – y; use x = 20 and y = 17
- 15 – (m + p); use m = 3 and p = 10
- 10 – x + y ÷ 2; use x = 5 and y = 2
- p – 2 + qp; use p = 7 and q = 4
- zy + 4y; use y = 5 and z = 2
- b(a + b) + a; use a = 9 and b = 4
- p^2 ÷ 4 – m; use m = 3 and p =4
- x(y ÷ 3)^2; use x = 4 and y = 9
- 4 + m + n – m; use m = 4 and n = 9
- qp + q – p; use p = 7 and q = 3
- mn ÷ 6 + 10; use m = 7 and n = 6
- h + j(j – h); use h = 2 and j = 6
- (b – 1)^2 + a^2; use a = 6 and b = 1
- y(x – (9 – 4y)); use x = 4 and y = 2
- x – (x – (x – y^3)); use x = 9 and y = 1
- j(h – 9)^3 + 2; use h = 9 and j = 8

## PROPORTIONS AND PERCENTS – 222 Video Lessons

## PERCENT WORD PROBLEMS

- What percent of 126 is 22?
- 81 is 56% of what?
- 25.7 is what percent of 141?
- 17% of what is 156?
- 46 is what percent of 107?
- 79.9 is 99% of what?
- 62% of what is 89.3?
- What percent of 137.4 is 96?
- 30% of 117 is what?
- 11 is what percent of 97?
- 120% of 118 is what?
- 25 is what percent of 37?
- What is 270% of 60?
- 73% of what is 156.4?
- 87% of 41 is what?
- 9 is what percent of 84?
- What percent of 88.6 is 70?
- What percent of 137 is 86?

## FINDING PERCENT CHANGE

- From 82 to 38
- From 75 to 45
- From 33 to 47
- From 92 to 9.7
- From 70 to 62
- From 8 to 4
- From 58.5 to 76.3
- From 58 to
- From 79 to 94
- From 63 to 98
- From 84 to 4
- From 71 to 22
- From 79 ft to 157 ft
- From 174 miles to 135.9 miles
- From $109 to $98
- From 122 minutes to 109 minutes
- From 43 minutes to 160 minutes
- From 55 grams to 70 grams
- From 199 ft to 92 ft
- From 152 miles to 196 miles
- From 141 grams to 142 grams
- From 88 grams to 84 grams
- From 43 minutes to 28 minutes
- From 54 m to 154 m

## MARKUP, DISCOUNT, AND TAX (EASY)

- Cost of a sled: $99.50, Markup: 95%
- Cost of a comic book: $3.95, Markup: 20%
- Cost of an oil change: $18.00, Markup: 70%
- Cost of a CD: $14.50, Markup: 30%
- Cost of an MP3 player: $129.50, Markup: 60%
- Cost of an oil change: $21.95, Markup: 65%
- Cost of a pen: $0.95, Markup: 60%
- Cost of a computer: $1850.00, Markup: 75%
- Original price of concert tickets: $100.00, Discount: 21%
- Original price of a book: $18.50, Discount: 45%
- Original price of a telescope: $99.99, Discount: 13%
- Original price of a CD: $22.99, Discount: 5%
- Original price of a sled: $99.50, Discount: 50%
- Original price of a camera: $554.99, Discount: 48%
- Original price of a CD: $17.00, Discount: 50%
- Original price of a CD: $22.95, Discount: 10%
- Original price of a book: $49.95, Tax: 3%
- Original price of a book: $90.50, Tax: 4%
- Original price of an MP3 player: $99.50, Tax: 4%
- Original price of a microphone: $129.99, Tax: 1%
- Original price of a pen: $1.50, Tax: 4%
- Original price of shorts: $19.99, Tax: 2%
- Original price of an SUV: $42000.00, Tax: 3%
- Original price of a goldfish: $1.50, Tax: 5%

## MARKUP, DISCOUNT, AND TAX (HARDER)

- Cost of shoes: $29.95, Markup: 20%, Tax: 2%
- Cost of a microscope: $269.95, Markup: 43%, Tax: 5%
- Cost of a goldfish: $3.45, Markup: 29%, Tax: 2%
- Cost of shoes: $99.99, Markup: 9%, Tax: 4%
- Cost of a shirt: $14.95, Markup: 25%, Discount: 45%
- Cost of a CD: $23.50, Markup: 63%, Discount: 50%
- Cost of a puppy: $349.99, Markup: 41%, Discount: 23%
- Cost of an oil change: $19.95, Markup: 85%, Discount: 48%
- Original price of a microphone: $20, Discount: 42%, Tax: 6%
- Original price of a jacket: $269.50, Discount: 24%, Tax: 6%
- Original price of a lizard: $39.99, Discount: 40%, Tax: 6%
- Original price of a microphone: $49.99, Discount: 5%, Tax: 5%
- Cost of a hat: $10.50, Markup: 10%, Discount: 40%, Tax: 5%
- Cost of a pen: $1.95, Markup: 70%, Discount: 40%, Tax: 5%
- Cost of a computer game: $4.99, Markup: 40%, Discount: 55%, Tax: 1%
- Cost of a hat: $31.50, Markup: 35%, Discount: 30%, Tax: 1%

## PROPORTION WORD PROBLEMS

- If you can buy one can of crushed pineapple chunks for $2 then how many can you buy with $10?
- One jar of crushed ginger costs $2. How many jars can you buy for $4?
- One cantaloupe costs $2. How many cantaloupes can you buy for $6?
- One package of blueberries costs $3. How many packages of blueberries can you buy for $9?
- Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall?
- Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many Tala would she get if she exchanged $6?
- Jasmine bought 32 kiwi fruit for $16. How many kiwi can Lisa buy if she has $4?
- If you can buy four bulbs of elephant garlic for $8 then how many can you buy with $32?
- One bunch of seedless black grapes costs $2. How many bunches can you buy for $20?
- The money used in Jordan is called the Dinar. The exchange rate is $3 to 2 Dinar. Find how many dollars you would receive if you exchanged 22 Dinars.
- Gabriella bought three cantaloupes for $7. How many cantaloupes can Shayna buy if she has $21?
- Jenny was planning a trip to the United Arab Emirates. Before going, she did some research and learned that the exchange rate is 4 Dirhams for every $1. How many Dirhams would she get if she exchanged $5?
- Castel bought four bunches of fennel for $9. How many bunches of fennel can Mofor buy if he has $18?
- If you can buy one fruit basket for $30 then how many can you buy with $60?
- Asanji took a trip to Mexico. Upon leaving he decided to convert all of his Pesos back into dollars. How many dollars did he receive if he exchanged 42.7 Pesos at a rate of $5.30 = 11.1 Pesos?
- The currency in Argentina is the Peso. The exchange rate is approximately $3 =1 Peso. At this rate, how many Pesos would you get if you exchanged $121.10?
- Mary reduced the size of a painting to a width of 3.3 in. What is the new height if it was originally 32.5 in tall and 42.9 in wide?
- Molly bought two heads of cabbage for $1.80. How many head of cabbage can Willie buy if he has $28.80?

## SIMPLE AND COMPOUND INTEREST

- $34,100 at 4% for 3 years
- $210 at 8% for 7 years
- $4,000 at 3% for 4 years
- $20,600 at 8% for 2 years
- $14,000 at 6% for 9 years
- $2,300 at 7% for 9 years
- $43,800 at 4.8% for 2 years
- $35,800 at 8.2% for 3 years
- $7,400 at 10.5% for 1/4 years
- $1,900 at 5.9% for 2 3/4 years
- $7,300 at 7% compounded semiannually for 3 years
- $1,030 at 4% compounded semiannually for 2 years
- $18,000 at 9% compounded semiannually for 6 years
- $1,500 at 7% compounded annually for 3 years
- $1,240 at 8% compounded annually for 2 years
- $55,000 at 16% compounded semiannually for 2 years
- $28,600 at 7.9% compounded semiannually for 2 years
- $21,000 at 13.6% compounded quarterly for 4 years
- $12,700 at 8.8% compounded semiannually for 1 year
- $130 at 9.4% compounded quarterly for 2 years

## SIMILAR FIGURES

## SIMILAR FIGURES WORD PROBLEMS

- A 6 ft tall tent standing next to a cardboard box casts a 9 ft shadow. If the cardboard box casts a shadow that is 6 ft long then how tall is it?
- A telephone booth that is 8 ft tall casts a shadow that is 4 ft long. Find the height of a lawn ornament that casts a 2 ft shadow.
- A map has a scale of 3 cm : 18 km. If Riverside and Smithville are 54 km apart then they are how far apart on the map?
- Find the distance between Riverside and Milton if they are 12 cm apart on a map with a scale of 4 cm : 21 km.
- A model house is 12 cm wide. If it was built with a scale of 3 cm : 4 m then how wide is the real house?
- Oak Grove and Salem are 87 mi from each other. How fart apart would the cities be on a map that has a scale of 5 in : 29 mi?
- A map has a scale of 2 in : 6 mi. If Clayton and Centerville are 10 in apart on the map then how far apart are the real cities?
- A statue that is 12 ft tall casts a shadow that is 15 ft long. Find the length of the shadow that a 8 ft cardboard box casts.
- A model house has a scale of 1 in : 2 ft. If the real house is 26 ft wide then how wide is the model house?
- A 6.5 ft car standing next to an adult elephant casts a 33.2 ft shadow. If the adult elephant casts a shadow that is 51.5 ft long then how tall is it?
- If a 42.9 ft tall flagpole casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall woman casts?
- Georgetown and Franklin are 9.7 in apart on a map that has a scale of 1.1 in : 15 mi. How far apart are the real cities?

## EQUATIONS – 186 Video Lessons

## ONE-STEP EQUATIONS WITH INTEGERS

## ONE-STEP EQUATIONS WITH DECIMALS

- p + 8 = 14.1
- n + 4.7 = -4.7
- x/1.2 = -7
- n + 3.9 = 0.7
- -6.3n = -8.19
- 32.663 = p + 11.363
- n – 25.4 = -44.8
- 28.8 = 18x
- x – 18 = -36.6
- m – 21.1 = -36.6
- x/19.7 = 0.609137055838
- -165.832 = -10.91k
- a/15.9 = -1.79245283019
- n – 14.7 = 4.7
- 0.357142857143 = b/4.2
- -38.48 = -5.2x
- v + 6.6 = 32.1
- p/9.5 = 2.78947368421
- -14.896 = r + 11.704
- 21.7 = m – 7.7
- -1.55487804878 = n/16.4
- n + 15.64 = -13.26
- 8.8 = m – 13.4
- 26.6 = v + 4.4
- 89.7x = -2296.32
- -5704.74 = -73.8r
- x/41.6 = -2.34134615385
- b – 43.4 = -120

## ONE-STEP EQUATIONS WITH FRACTIONS

- 5 1/2 + p = 6
- m – 1 1/2 = -5/4
- -3/4b = 2
- x – 3 = -5 1/2
- x – 1/2 = 1 1/4
- x – 1 1/4 = -6
- 2 1/10n = 1 1/6
- 9 1/3 = 5/3n
- 5 2/7 + k = 2 27/70
- 2 5/12 = -3 1/4 + k
- m – 4/9 = -2 67/90
- 11/6 = 1/3 + p
- 1 13/64 = 11/8v
- 39/5 = 2m
- n – 3/4 = -2 3/4
- 9/10n = -1 1/10
- -1 1/2 + v = -3 3/10
- n – 4/7 = 3
- 9k/65 = 1 316/845
- -9/19 = n – 11
- 1/3 = n + 4/3
- -26/33 = 13/11x

## ONE-STEP EQUATION WORD PROBLEMS

- Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?
- At a restaurant, Mike and his three friends decided to divide the bill evenly. If each person paid $13 then what was the total bill?
- How many packages of diapers can you buy with $40 if one package costs $8?
- Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive?
- Last week Julia ran 30 miles more than Pranav. Julia ran 47 miles. How many miles did Pranav run?
- How many boxes of envelopes can you buy with $12 if one box costs $3?
- Amanda and her best friend found some money buried in a field. They split the money evenly, each getting $24.28. How much money did they find?
- Jenny wants to buy an MP3 player that costs $30.98. How much change does she receive if she gives the cashier $40?
- Last Friday Adam had $22.33. Over the weekend he received some money for cleaning the attic. He now has $32. How much money did he receive?
- After paying $5.12 for a salad, Norachai has $27.10. How much money did he have before buying the salad?
- A recipe for cookies calls for 3 1/4 cups of sugar. Amy has already put in 3 1/9 cups. How many more cups does she need to put in?
- Your mother gave you $13.32 with which to buy a present. This covered 3/5 of the cost. How much did the present cost?
- If the weight of a package is multiplied by 5/7 the result is 40.5 pound. Find the weight of the package.
- A stray dog ate 12 of your muffins. That was 3/10 of them! With how many did you start?

## TWO-STEP EQUATIONS WITH INTEGERS

- r/10 + 4 = 5
- n/2 + 5 = 3
- 3p – 2 = -29
- 1 – r = -5
- (k – 10)/2 = -7
- (n – 5)/2 = 5
- -9 + n/4 = -7
- (9 + m)/3 = 2
- (-5 + x)/22 = -1
- 4n – 9 = -9
- (x + 9)/2= 3
- (-12 + x)/11 = -3
- (-4 + x)/2 = 6
- -5 + n/3 = 0
- p/4 + 8 = 7
- 9 + n/4 = 15
- 6 + x/2 = 4
- (b + 11)/3 = -2
- (a – 10)/3= -4
- -12r + 4 = 100
- m/16 – 9 = -8
- -7 + 4r = -15
- (m – 13)/2 = -8
- -5x + 13 = -17
- (k + 10)/-2 = 5
- (p + 8)/-2 = 10
- -14r – 19 = 303
- x/-4 – 5 = -8

## TWO-STEP EQUATIONS WITH DECIMALS

- m/2.8 – 4.9 = -7.11
- 0.4x + 3.9 = 5.78
- (-10.5 + m)/11.57 = -2.748
- 9.2r + 5.514 = 158.234
- v/10.44 – 2.9 = -4.422
- -5.4 – 7.8x = -78.408
- (k – 2.6)/5.2 = -0.418
- -8.38v + 10.71 = 131.382
- (2.8 + x)/3.1 = 2.709
- (n – 12.9)/6.1 = -0.377
- (-7.3 + r)/9.2 = -0.739
- (-13.3 + k)/11.796 = -0.296
- (12.1 + a)/4.9 = 7.071
- -13.9 + b/12.8 =-13.306
- (12.84 + x)/2.89 = -2.166
- 3.649 + 12.3v = 146.329
- -3.8 – 13.4p = -460.606
- (r – 8.7)/3.6 = 3.722

## TWO-STEP EQUATION WORD PROBLEMS

- 331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
- Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
- The sum of three consecutive numbers is 72. What are the smallest of these numbers?
- The sum of three consecutive even numbers is 48. What are the smallest of these numbers?
- You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?
- Maria bought seven boxes. A week later half of all her boxes were destroyed in a fire. There are now only 22 boxes left. With how many did she start?
- Sumalee won 40 super bouncy balls playing horseshoes at her school’s game night. Later, she gave two to each of her friends. She only has 8 remaining. How many friends does she have?
- Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?
- Aliyah had some candy to give to her four children. She first took ten pieces for herself then evenly divided the rest among her children. Each child received two pieces. With how many pieces did she start?
- How old am I if 400 reduced by 2 times my age is 244?
- Jill sold half of her comic books then bought sixteen more. She now has 36. With how many did she begin?
- For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?
- On Tuesday Shanice bought five hats. On Wednesday half of all the hats that she had were destroyed. On Thursday there were only 17 left. How many did she have on Monday?
- The Cooking Club made some pies to sell at a basketball game to raise money for the new math books. The cafeteria contributed four pies to the sale. Each pie was then cut into five pieces and sold. There were a total of 60 pieces to sell. How many pies did the club make?

## MULTI-STEP EQUATIONS

- 6a + 5a = -11
- -6n – 2n = 16
- 4x + 6 + 3 = 17
- 0 = -5n – 2n
- 6r – 1 + 6r = 11
- r + 11 + 8r = 29
- -10 = -14v + 14v
- -10p + 9p = 12
- 42 = 8m + 13m
- a – 2 + 3 = -2
- 18 = 3(3x – 6)
- 30 = -5(6n + 6)
- 37 = -3 + 5(x + 6)
- -13 = 5(1 + 4m) – 2m
- 4(-x + 4) = 12
- -2 = -(n – 8)
- -6(1 – 5v) = 54
- 8 = 8v – 4(v + 8)
- 10(1 + 3b) = -20
- -5n – 8(1 + 7n) = -8
- 8(4k – 4) = -5k – 32
- -8(8x – 6) = -6x – 22
- 8(1 + 5x) + 5 = 13 + 5x
- -11 – 5a = 6(5a + 4)
- -5(4x – 2) = -2(3 + 6x)
- 5(2x + 6) = -4(-5 – 2x) + 3x

## INEQUALITIES – 119 Video Lessons

## SOLVING ONE-STEP INEQUALITIES BY ADDING/SUBTRACTING

## SOLVING MULTI-STEP INEQUALITIES

- -11 ≥ 6 – 2n – 5
- 0 > -5x – 6x
- x + 1 + 4 ≤ 9
- -9 > -5n – 4n
- 5k – 2k > -9
- -2 ≥ 4p +6 + 4
- 30 – 6a < -3(5 + 7a)
- 33 + 4x ≤ -(x + 7)
- 2(6 + 4n) ≥ 12 – 8n
- -5(2b + 7) + b < -b – 11
- -33 – n ≤ -3(2n + 1)
- -3(-7p – 6) – 7 < p – 29
- -x + 23 < 2 – 2(x – 8)
- 32 – 5n ≥ 7 – 5(n – 5)
- 12(10b – 9) > 12(9 + 8b)
- -2(k – 12) – 5(k + 2) < -9k + 4k
- 8(1 + 8x) + 8(x – 11) < -10x + 2x
- -2(9r + 3) – 7r ≥ -10r – (12r + 9)

## POLYNOMIALS – 88 Video Lessons

## ADDING AND SUBTRACTING POLYNOMIALS

- (5 + 5n^3) – (1 – 3n^3)
- (6a – 3a^3) + (2a^2 – 3a)
- (x^2 – x) + (8x – 2x^2)
- (2a^2 + 4a^3) – (3a^3 + 8)
- (5x^2 + 4) – (5 + 5x^3)
- (8n^2 – 2n^3) + (6n^3 – 8n^2)
- (8b^3 + 8) – (6 – 7b^3)
- (4x^3 – 6) + (5x^3 + 3)
- (10p^4 + 11) – (11p^4 + 13 + 16p^2)
- (20v^2 – 9v^3) – (7v^3 – 10v^4 – 14v^2)
- (10x^4 – 16) + (12 – 6x^3 + 11x^4)
- (14 + 12a^3) + (17a^4 + 15 – 5a^3)
- (17v^2 – 8) + (17v^2 + 10 + v^3)
- (20n + 11n^4) – (15n + 16n^2 – 17n^4)
- (10k^4 + 17k^3) – (14k^3 – 2k + 9k^4)
- (9r + 6r^4) + (12r – 2r^4 – 17)
- (6r + 2 + 8r^3) – (5r^3 – 11 – 8r^5) – (6r + 9r^5)
- (9a^4 + 1 – 11a^2) – (a + 8a^2 + 2) – (6a^2 – 9)
- (9k – 9 – 12k^4) – (4k + k^4 + 4) – (10 + 7k)
- (8x^4 – 12 + 3x) – (9x^4 + 7 – 11x) + (9x + 8)
- (7r^2 + r^3 – 3) + (6r^3 – 3r^2 + 10) + (2 + r^2)
- (10x + 8x^5 – 2) + (12 + x – 6x^4) – (x^4 – x^2)
- (p^4 + 8p + 6) + (7p – 3p^4 + 6) – (10 + 10p)
- (9n^5 + 2n – 11) – (11n – 7n^5 + 3) – (5 + 7n)

## EXPONENTS AND RADICALS – 115 Video Lessons

## EXPONENTS AND MULTIPLICATION

## SCIENTIFIC NOTATION

## WORD PROBLEMS – 62 Video Lessons

## ONE-STEP EQUATION WORD PROBLEMS

- Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?
- At a restaurant, Mike and his three friends decided to divide the bill evenly. If each person paid $13 then what was the total bill?
- How many packages of diapers can you buy with $40 if one package costs $8?
- Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive?
- Last week Julia ran 30 miles more than Pranav. Julia ran 47 miles. How many miles did Pranav run?
- How many boxes of envelopes can you buy with $12 if one box costs $3?
- Amanda and her best friend found some money buried in a field. They split the money evenly, each getting $24.28. How much money did they find?
- Jenny wants to buy an MP3 player that costs $30.98. How much change does she receive if she gives the cashier $40?
- Last Friday Adam had $22.33. Over the weekend he received some money for cleaning the attic. He now has $32. How much money did he receive?
- After paying $5.12 for a salad, Norachai has $27.10. How much money did he have before buying the salad?
- A recipe for cookies calls for 3 1/4 cups of sugar. Amy has already put in 3 1/9 cups. How many more cups does she need to put in?
- Your mother gave you $13.32 with which to buy a present. This covered 3/5 of the cost. How much did the present cost?
- If the weight of a package is multiplied by 5/7 the result is 40.5 pound. Find the weight of the package.
- A stray dog ate 12 of your muffins. That was 3/10 of them! With how many did you start?

## TWO-STEP EQUATION WORD PROBLEMS

- 331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
- Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
- The sum of three consecutive numbers is 72. What are the smallest of these numbers?
- The sum of three consecutive even numbers is 48. What are the smallest of these numbers?
- You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?
- Maria bought seven boxes. A week later half of all her boxes were destroyed in a fire. There are now only 22 boxes left. With how many did she start?
- Sumalee won 40 super bouncy balls playing horseshoes at her school’s game night. Later, she gave two to each of her friends. She only has 8 remaining. How many friends does she have?
- Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?
- Aliyah had some candy to give to her four children. She first took ten pieces for herself then evenly divided the rest among her children. Each child received two pieces. With how many pieces did she start?
- How old am I if 400 reduced by 2 times my age is 244?
- Jill sold half of her comic books then bought sixteen more. She now has 36. With how many did she begin?
- For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?
- On Tuesday Shanice bought five hats. On Wednesday half of all the hats that she had were destroyed. On Thursday there were only 17 left. How many did she have on Monday?
- The Cooking Club made some pies to sell at a basketball game to raise money for the new math books. The cafeteria contributed four pies to the sale. Each pie was then cut into five pieces and sold. There were a total of 60 pieces to sell. How many pies did the club make?

## PROPORTION WORD PROBLEMS

- If you can buy one can of crushed pineapple chunks for $2 then how many can you buy with $10?
- One jar of crushed ginger costs $2. How many jars can you buy for $4?
- One cantaloupe costs $2. How many cantaloupes can you buy for $6?
- One package of blueberries costs $3. How many packages of blueberries can you buy for $9?
- Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall?
- Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many Tala would she get if she exchanged $6?
- Jasmine bought 32 kiwi fruit for $16. How many kiwi can Lisa buy if she has $4?
- If you can buy four bulbs of elephant garlic for $8 then how many can you buy with $32?
- One bunch of seedless black grapes costs $2. How many bunches can you buy for $20?
- The money used in Jordan is called the Dinar. The exchange rate is $3 to 2 Dinar. Find how many dollars you would receive if you exchanged 22 Dinars.
- Gabriella bought three cantaloupes for $7. How many cantaloupes can Shayna buy if she has $21?
- Jenny was planning a trip to the United Arab Emirates. Before going, she did some research and learned that the exchange rate is 4 Dirhams for every $1. How many Dirhams would she get if she exchanged $5?
- Castel bought four bunches of fennel for $9. How many bunches of fennel can Mofor buy if he has $18?
- If you can buy one fruit basket for $30 then how many can you buy with $60?
- Asanji took a trip to Mexico. Upon leaving he decided to convert all of his Pesos back into dollars. How many dollars did he receive if he exchanged 42.7 Pesos at a rate of $5.30 = 11.1 Pesos?
- The currency in Argentina is the Peso. The exchange rate is approximately $3 =1 Peso. At this rate, how many Pesos would you get if you exchanged $121.10?
- Mary reduced the size of a painting to a width of 3.3 in. What is the new height if it was originally 32.5 in tall and 42.9 in wide?
- Molly bought two heads of cabbage for $1.80. How many head of cabbage can Willie buy if he has $28.80?

## SIMILAR FIGURES WORD PROBLEMS

- A 6 ft tall tent standing next to a cardboard box casts a 9 ft shadow. If the cardboard box casts a shadow that is 6 ft long then how tall is it?
- A telephone booth that is 8 ft tall casts a shadow that is 4 ft long. Find the height of a lawn ornament that casts a 2 ft shadow.
- A map has a scale of 3 cm : 18 km. If Riverside and Smithville are 54 km apart then they are how far apart on the map?
- Find the distance between Riverside and Milton if they are 12 cm apart on a map with a scale of 4 cm : 21 km.
- A model house is 12 cm wide. If it was built with a scale of 3 cm : 4 m then how wide is the real house?
- Oak Grove and Salem are 87 mi from each other. How fart apart would the cities be on a map that has a scale of 5 in : 29 mi?
- A map has a scale of 2 in : 6 mi. If Clayton and Centerville are 10 in apart on the map then how far apart are the real cities?
- A statue that is 12 ft tall casts a shadow that is 15 ft long. Find the length of the shadow that a 8 ft cardboard box casts.
- A model house has a scale of 1 in : 2 ft. If the real house is 26 ft wide then how wide is the model house?
- A 6.5 ft car standing next to an adult elephant casts a 33.2 ft shadow. If the adult elephant casts a shadow that is 51.5 ft long then how tall is it?
- If a 42.9 ft tall flagpole casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall woman casts?
- Georgetown and Franklin are 9.7 in apart on a map that has a scale of 1.1 in : 15 mi. How far apart are the real cities?