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
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