Unit 3 ReviewWOW!!! We’re Making GREAT Progress!!

Evaluate the expression 23 – 2 + 5

Question 1a

Evaluate the expression 32 – 5 + 2

Question 1b

Evaluate the expression 42 – 10 + 5

Question 1c

The Smiths have 3 dogs that they need to board. They pay $15 per dog plus $8 a day per dog for boarding. Write an expression to represent the amount they will pay for h days of boarding services.

Question 2a

Dr. Brantley has a TON of papers to grade. She decided to pay Mary $10 plus $1.00 per paper graded. Write an expression to represent the amount they will pay for h papers graded.

Question 2b

The Smiths have 3 children that need babysitting. They pay $15 plus $5 an hour. Write an expression for the amount they will pay for h hours of babysitting.

Question 2c

Which expression is equivalent to 15y3 + 5x?

A) 5(y3 + x) B) 20y3x3

C) 5(3y3 + x) D) 3(5y3 + x)

Question 3a

Which expression is equivalent to 10y3 + 5x?

A)5(2y3 + x)B) 15y3x3

C) 5(2y3 + 2x) D) 5(10y3 + x)

Question 3b

Which expression is equivalent to 12y3 + 6x?

3(4y3 +2x) 18y3x3

4(3y3 + x) 6(2y3 + 2x)

Question 3c

The rental fee for a golf cart for the fair parade is $12 plus $5 for each hour the golf cart is used. How much will it cost if you rent the golf cart for 3 hours?

Question 4a

The rental fee for a car is $100 plus $37 for each day you rent the car. How much will it cost if you rent the car for a week?

Question 4b

You’re having a birthday party at SK8 city!! It costs $60 to rent the skating rink plus $10 per person attending. How much will it cost if 15 people come to your party??

Question 4c

Which expression is equivalent to 2x – 10A) 2x + 2x -10B) x2 - 10C) x- 5D) x + x -10

Question 5a

Which expression is equivalent to 6x + 4A) x + x + x + x + x + x+4B) x6 + 4C) 3x + 2D) 6 + x + 4

Question 5a

Which expression is equivalent to 8x + 10A) x8 + 10B) 8 + x + 10C) x + x + x + x + x + x + x + x - 10D) 2x + 6x + 5 + 5

Question 5c

Are the two expressions equivalent? Show how you know.y2 + 2 + y2 + 5 2y2 + 7

Question 6a

Are the two expressions equivalent? Show how you know.z2 + 2z + z2 + 5 2z2 + 7z

Question 6b

Are the two expressions equivalent? Show how you know.y2 + 2z + y2 + 5 2y2 + 2z + 5

Question 6c

The formula for finding the Volume of a cube is , where s is the length of one side of the cube. What is the volume of a cube with side length of 5 cm?

 

Question 7a

The formula for finding the Volume of a cube is , where s is the length of one side of the cube. What is the volume of a cube with side length of 2 cm?

 

Question 7b

The formula for finding the Volume of a cube is , where s is the length of one side of the cube. What is the volume of a cube with side length of 4 cm?

 

Question 7c

If a cell phone company charges $25.25 for service plus $0.15 for each text message per month, which expression represents the cost of m (monthly charges) if t text messages are sent. A. 25.25m + 0.15+ t B. 25.25 + 0.15t

C. 25.25m + t D. 25.25m +15t

Question 8a

If a cell phone company charges $35.75 for service plus $0.12 for each text message per month, which expression represents the cost of m (monthly charges) if t text messages are sent.

35.75m + 0.12t 35.75m + 0.12 + t35.75m + 12t35.75m + 0.12

Question 8b

If a cell phone company charges $55.95 for service plus $0.15 for each text message per month, which expression represents the cost of m (monthly charges) if t text messages are sent. 55.95m + 0.15 – t55.95m + 0.15 + t55.95m + 5t55.95m + 0.15t

Question 8c

Which situation could represent the expression 100 – 3x?a) There are 100 people in school and 3 get

sick and go home.b) There are 100 students on a team and 3 in

each class get sick and go home.c) There are 100 students in Dr. Brantley’s

classroom and 3 more come in.d) Dr. Brantley has 100 students and each

class adds 3 more.

Question 9a

Which situation could represent the expression 55 + 9b?a) It costs $55 to rent a golf cart plus $9 per

hour rented.b) It costs $55 to rent a golf cart and they

raised the price $9.c) Dr. Brantley paid $64 for a pair of blue

jeans.d) What is 55 time 9b if b=3.

Question 9b

Which situation could represent the expression 25 + 5b?a) Dr. Brantley paid Mary $25 plus $5 per

hour to grade papers. b) It costs $30 buy a blue pen.c) Dr. Brantley ran 25 miles, then 5 more.d) Dr. Brantley gave Mary $30 per hour to

grade paper.

Question 9c

Evaluate the expression (4+2)2 - 5

Question 10a

Evaluate the expression (5+2)2 - 3

Question 10b

Evaluate the expression (5+5)2 + 5

Question 10c

Evaluate the expression: 100 22 + 5 . 3

Question 11a

Evaluate the expression: 80 42 + 7 . 5

Question 11b

Evaluate the expression: 150 52 - 3 . 2

Question 11c

What phrase is NOT equivalent to this expression? 10-5

a) 10 less than 5b) 5 less than 10c) 10 decreased by 5d) 10 subtract 5

Question 12a

What phrase is NOT equivalent to this expression? 12-5

a) 5 less than 12b) 12 less than 5c) 12 decreased by 5d) 12 minus 5

Question 12b

What phrase is NOT equivalent to this expression? 10 x 5

a) 10 groups of 5b) The product of 10 and 5c) The quotient of 10 and 5d) 10 multiplied by 5

Question 12c

Which situation could represent the expression? 1.20x + 20

$1.20 per game plus $20 to bowl.$1.20 + $20 for each game to bowl.$20 for each hour to rent a bike plus $1.20

for a water bottle.$20 per hour to babysit 12 children.

 

Question 13a

Which situation could represent the expression? 1.50x + 20

$1.50 + $20 for each game to bowl.$20 per hour to babysit 1.50 children.$1.50 per game plus $20 to bowl.$20 for each hour to rent a bike minus $1.50

for bringing your own water bottle. 

Question 13b

Which situation could represent the expression? 2.50x + 36

$38.50 for a new jacket from the Stable.$36 per hour to work 2.50 hours at the

Stable.$2.50 per hour + $36 to work at the Stable.$36 for each hour to work at the Stable

minus $2.50 for the juice you drank. 

Question 13c

Use the Distributive Property, to evaluate the expression 5(2 + x).

Question 14a

Use the Distributive Property, to evaluate the expression 12(x + 5).

Question 14b

Use the Distributive Property, to evaluate the expression 15(y + x).

Question 14c

Which word phrase is NOT equivalent to 25x?

25 multiplied by x25 groups of x25 + xThe product of 25 and x

Question 15a

Which word phrase is NOT equivalent to 5x?

5 multiplied by x5 groups of xThe product of 5 and xThe quotient of 5 and x

Question 15b

Which word phrase is NOT equivalent to 48x?

48 times x48 groups of xThe product of 48 and xThe difference between 48 and x

Question 15c

Which word phrase is equivalent to this expression? 5x + 9

nine more than the product of 5 and x the product of five and x and nine five times x minus nine the difference of 5x and 9

Question 16a

Which word phrase is equivalent to this expression? 12x – 32

Thirty-two more than the product of 12 and x

the quotient of twelve and x minus thirty-two

12 times x minus thirty-two the product of 12x and 32

Question 16b

Which word phrase is equivalent to this expression? 5x 15

fifteen more than the product of 5 and x the product of five and x and fifteen five times x plus 15 the difference of 5x and 15

Question 16c

Write two equivalent expressions for 5 + y + 4 + 3y

Question 17a

Write two equivalent expressions for 10 + x2 + 9 + 3 x2

Question 17b

Write two equivalent expressions for 9 + y2 + 4 + y2

Question 17c

The formula for finding the Volume of a rectangular prism can be stated as V = l . w . h , where l = length of the prism, w = width of the prism and h = height of the prism. Use the formula to find the volume of a prism with length of 10 inches, width of 1.5 inches, and a height of 5 inches. Show your work.

Question 18a

The formula for finding the Volume of a rectangular prism can be stated as V = l . w . h , where l = length of the prism, w = width of the prism and h = height of the prism. Use the formula to find the volume of a prism with length of 12 inches, width of 3.5 inches, and a height of 6 inches. Show your work.

Question 18b

The formula for finding the Volume of a rectangular prism can be stated as V = l . w . h , where l = length of the prism, w = width of the prism and h = height of the prism. Use the formula to find the volume of a prism with length of 25 inches, width of 1.5 inches, and a height of 5 inches. Show your work.

Question 18c

Simplify: 6x + 7+ x + 9.

Question 19a

Simplify: 7x + 8y+ y + 12x.

Question 19b

Simplify: 7x2 + 3y+ y + x2 +12x.

Question 19b

Determine whether the following expressions are equivalent: 5x + 2 and 5(x + 2). Explain your answer in words.

Question 20a

Determine whether the following expressions are equivalent: 6x + 5 and 5(x + 1). Explain your answer in words.

Question 20b

Determine whether the following expressions are equivalent: 6x + 2 and 2(3x + 1). Explain your answer in words.

Question 20c

The formula for finding the Surface Area of a cube is SA=6s2 , where s is the length of one side of the cube. What is the surface area of a cube with side length of 3 meters?

Question 21a

The formula for finding the Surface Area of a cube is SA=6s2 , where s is the length of one side of the cube. What is the surface area of a cube with side length of 6 meters?

Question 21b

The formula for finding the Surface Area of a cube is SA=6s2 , where s is the length of one side of the cube. What is the surface area of a cube with side length of 4 meters?

Question 21c

Write the expression “three to the third power divided by nine” and then evaluate it.

Question 22a

Write the expression “six squared divided by two” and then evaluate it.

Question 22b

Write the expression “five cubed divided by twenty-five” and then evaluate it.

Question 22c

Write an expression equivalent to x + x + x + y + y + y

Question 23a

Write an expression equivalent to x + x + x + x + y + y + z2

Question 23b

Write an expression equivalent to x2 + x + x + y + y + y + x2 + x2

Question 23x

At the Stable, Mrs. Weber sells juice for $3 each and chips for $2 each. Write an algebraic expression to represent her sales for selling j juices and c chips.Use this expression to determine how much she will earn if she sells 10 juices and 12 bags of chips.

Question 24a

At the Stable, Mrs. Weber sells juice for $2 each and chips for $.75 each. Write an algebraic expression to represent her sales for selling j juices and c chips.

Use this expression to determine how much she will earn if she sells 12 juices and 15 bags of chips.

Question 24b

At the Stable, Mrs. Weber sells notebook paper for $3 each and pens for $2 each. Write an algebraic expression to represent her sales for selling n paper and p pens.

Use this expression to determine how much she will earn if she sells 12 packs of paper and 12 pens.

Question 24c