Keystone Prep Modular 1

Which monomial is the greatest common factor (GCF) of

x⁴y⁸ and x⁶y⁴

• x²y⁴

• x⁴y⁴

• x⁶y⁸

• x¹²y⁸

A local store sells different types of fruit drinks for $2 to $4 each . Jon buys d fruit drinks and

pays $36 .53 . Which value could be the number of fruit drinks Jon buys?

• 6

• 12

• 19

• 9

Tags

CCSS.6.EE.B.8

Which expression is equivalent to the polynomial expression?

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Tags

CCSS.HSA.APR.A.1

Kaden wants to have exactly $600 in his bank account by the end of the next 12 months . His

bank account currently has $84 in it . The bank account does not earn interest . He decides to

deposit the same amount each month for the next 12 months . Which equation can be used to

find the amount of money (x), in dollars, he must deposit each month to reach his goal?

• 12x + 84 = 600

• 12x – 84 = 600

• 12x + 84 = 684

• 12x – 84 = 684

Tags

CCSS.HSA.CED.A.3

Franklin is solving an equation . His first step is shown below .

4x + 7 – 3x + 10 = 12

4x – 3x + 7 + 10 = 12

Which property justifies Franklin’s first step?

• additive property of equality

• associative property of addition

• commutative property of addition

• identity property of addition

Tags

CCSS.HSA.REI.A.1

Fernando works at a clothing store . Each week, he earns $120 plus a 25% commission on any

clothing he sells . The equation shown below can be used to determine the total amount (y),

in dollars, Fernando earns in a week during which he sells x dollars’ worth of clothing .

y = 0 .25x + 120

The ordered pair (225, 176 .25) is a solution of the equation . What does this solution represent in

the context of the situation?

• In a week during which Fernando sells $176 .25 worth of clothing, he earns a total of $225

• In a week during which Fernando sells $176 .25 worth of clothing, he earns $225 in

  commission .

• In a week during which Fernando sells $225 worth of clothing, he earns a total of $176 .25

• In a week during which Fernando sells $225 worth of clothing, he earns $176 .25 in

  commission .

Tags

CCSS.HSF.LE.B.5

Nikki and Emily are buying tickets to a school play for their families . Nikki buys 3 adult tickets

and 1 student ticket for $15 . Emily buys 2 adult tickets and 2 student tickets for $14 . The

coordinate plane shown below displays a graph that models this situation, but the labels for the

two axes are missing .

What does the point of intersection on the coordinate plane represent?

• Nikki pays $3 for each ticket, and Emily pays $4 for each ticket .

• Nikki pays $4 for each ticket, and Emily pays $3 for each ticket .

• The price of each adult ticket is $3, and the price of each student ticket is $4 .

• The price of each adult ticket is $4, and the price of each student ticket is $3 .

Tags

CCSS.8.EE.C.8C

Ingrid collects autographs .

• She started her collection with x autographs .

• Then, she doubled the number of autographs in her collection .

• Later, she received 3 additional autographs in the mail .

• She now has between 85 and 90 autographs in her collection .

Which inequality can be used to determine the number of autographs with which Ingrid started

her collection?

• 85 < x < 90

• 85 < 2(x + 3) < 90

• 85 < 2x + 3 < 90

• 85 < 3x + 2 < 90

Rajeev unpacks 1 box that has 8 books in it . He has 4 other boxes that each have x books in

them . He knows he has at least 80 books . The inequality shown below represents this situation .

4x + 8 ≥ 80

Which graph best models all the possible numbers of books in each of Rajeev’s 4 other boxes?

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Tags

CCSS.7.EE.B.4B

A system of inequalities is shown below .

x ≥ ˉ2

y < 3

Which graph shows the correct solution set of this system of inequalities?

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Tags

CCSS.HSA.REI.D.12