wow!!! we’re making great progress!!. evaluate the expression 2 3 – 2 + 5
TRANSCRIPT
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Unit 3 ReviewWOW!!! We’re Making GREAT Progress!!
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Evaluate the expression 23 – 2 + 5
Question 1a
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Evaluate the expression 32 – 5 + 2
Question 1b
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Evaluate the expression 42 – 10 + 5
Question 1c
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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
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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
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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
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Which expression is equivalent to 15y3 + 5x?
A) 5(y3 + x) B) 20y3x3
C) 5(3y3 + x) D) 3(5y3 + x)
Question 3a
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Which expression is equivalent to 10y3 + 5x?
A)5(2y3 + x)B) 15y3x3
C) 5(2y3 + 2x) D) 5(10y3 + x)
Question 3b
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Which expression is equivalent to 12y3 + 6x?
3(4y3 +2x) 18y3x3
4(3y3 + x) 6(2y3 + 2x)
Question 3c
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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
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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
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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
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Which expression is equivalent to 2x – 10A) 2x + 2x -10B) x2 - 10C) x- 5D) x + x -10
Question 5a
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Which expression is equivalent to 6x + 4A) x + x + x + x + x + x+4B) x6 + 4C) 3x + 2D) 6 + x + 4
Question 5a
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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
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Are the two expressions equivalent? Show how you know.y2 + 2 + y2 + 5 2y2 + 7
Question 6a
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Are the two expressions equivalent? Show how you know.z2 + 2z + z2 + 5 2z2 + 7z
Question 6b
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Are the two expressions equivalent? Show how you know.y2 + 2z + y2 + 5 2y2 + 2z + 5
Question 6c
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Evaluate the expression (4+2)2 - 5
Question 10a
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Evaluate the expression (5+2)2 - 3
Question 10b
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Evaluate the expression (5+5)2 + 5
Question 10c
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Evaluate the expression: 100 22 + 5 . 3
Question 11a
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Evaluate the expression: 80 42 + 7 . 5
Question 11b
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Evaluate the expression: 150 52 - 3 . 2
Question 11c
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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
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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
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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
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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
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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
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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
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Use the Distributive Property, to evaluate the expression 5(2 + x).
Question 14a
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Use the Distributive Property, to evaluate the expression 12(x + 5).
Question 14b
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Use the Distributive Property, to evaluate the expression 15(y + x).
Question 14c
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Which word phrase is NOT equivalent to 25x?
25 multiplied by x25 groups of x25 + xThe product of 25 and x
Question 15a
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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
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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
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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
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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
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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
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Write two equivalent expressions for 5 + y + 4 + 3y
Question 17a
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Write two equivalent expressions for 10 + x2 + 9 + 3 x2
Question 17b
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Write two equivalent expressions for 9 + y2 + 4 + y2
Question 17c
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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
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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
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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
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Simplify: 6x + 7+ x + 9.
Question 19a
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Simplify: 7x + 8y+ y + 12x.
Question 19b
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Simplify: 7x2 + 3y+ y + x2 +12x.
Question 19b
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Determine whether the following expressions are equivalent: 5x + 2 and 5(x + 2). Explain your answer in words.
Question 20a
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Determine whether the following expressions are equivalent: 6x + 5 and 5(x + 1). Explain your answer in words.
Question 20b
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Determine whether the following expressions are equivalent: 6x + 2 and 2(3x + 1). Explain your answer in words.
Question 20c
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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
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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
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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
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Write the expression “three to the third power divided by nine” and then evaluate it.
Question 22a
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Write the expression “six squared divided by two” and then evaluate it.
Question 22b
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Write the expression “five cubed divided by twenty-five” and then evaluate it.
Question 22c
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Write an expression equivalent to x + x + x + y + y + y
Question 23a
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Write an expression equivalent to x + x + x + x + y + y + z2
Question 23b
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Write an expression equivalent to x2 + x + x + y + y + y + x2 + x2
Question 23x
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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
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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
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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