IM Alg 1 Unit 2 Quiz Review

A softball team is ordering pizza to eat after their tournament. They plan to order cheese pizzas that cost $5 each and four-topping pizzas that cost $12 each. They order cheese pizzas and four-topping pizzas.

Which expression represents the total cost of all of the pizzas they order?

• 5 + 12

• c + f

• 5c + 12f

• 5f + 12c

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CCSS.6.EE.A.2

CCSS.6.EE.B.6

A student on the track team runs 45 minutes each day as a part of her training. She begins her workout by running at a constant rate of 8 miles per hour for a minutes, then slows to a constant rate of 7.5 miles per hour for b minutes.

Which equation describes the relationship between the distance she runs in miles, D, and her running speed, in miles per hour?

• a + b = 45

• 8a + 7.5b = D

• $8\left(\frac{a}{60}\right)+7.5\left(\frac{b}{60}\right)=D$

• 8(45-b) + 7.5b = D

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CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.C.9

Members of the band sold juice and popcorn at a college football game to raise money for an upcoming trip. The band raised $2,000. The amount raised is divided

equally among the m members of the band.

Which equation represents the amount, A, each member receives?

• $A=\frac{m}{2000}$

• $A=\frac{2000}{m}$

• $A=2000m$

• $A=2000-m$

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CCSS.6.EE.A.2

CCSS.6.EE.B.6

Elena has $325 in her bank account. She takes out $15 each week for w weeks. After w weeks she has d dollars left in her bank account.

Write an equation that represents the amount of money left in her bank account after w weeks.

•  $325-15w=d$ 

•  $325+15w=d$ 

•  $15w-325=d$ 

•  $-15w+325=d$ 

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CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

 $0.10d+0.05n=22.25$  

Diego is collecting dimes and nickels in a jar. He has collected $22.25 so far. The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation above.

 
Select all the values (d,n) that could be solutions to the equation.

• (0, 445)

• (0.50, 435)

• (233, 21)

• (118, 209)

• (172, 101)

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CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

A student has a savings account with $350 in it. She deposits $125 of her paycheck into the account every week. Her goal is to save $10,000 for college. How long will it take her to reach her goal?

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CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

A theater is selling tickets to a play. Adult tickets cost $8 each and children’s tickets cost $5 each. They collect $275 after selling x adult tickets and y children’s tickets.

What does the point (30, 7) mean in this situation?

Hint: Example response: 30 = ____, 7 = _____

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CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Andre solved an equation, but when he checked his answer he saw his solution was incorrect. He knows he made a mistake, but he can’t find it. Where is Andre’s mistake and what is the solution to

the equation?

Original: 2(3x - 5) = 4(x + 3) + 8

Step 1: -6x + 10 = 4x + 12 + 8

Step 2: -6x + 10 = 4x + 20

Step 3: 10 = -2x + 20

Step 4: -10 = -2x

Step 5: 5 = x

• Step 2, x = 5

• Step 3, x = 15

• Step 1, x = 5

• Step 1, x = 15

• Step 2, x = 15

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CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.EE.B.5

Which of these equations are equivalent to the equation 5y=6?

• 15y = 18

• 5y = 12

• 5y = 4 = 10

• 5y - 1 = 3

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CCSS.6.EE.A.3

CCSS.6.EE.A.4

 $A:\left(5-3\right)x=5x\ \rightarrow\ 5-3=5$   $B:\ 5x-3=5\ \rightarrow\ 5x=2$   $\ C:\ 5\left(x-3\right)=5\ \rightarrow\ x-3=1$   $D:\ 5\left(x-3\right)=5x\ \rightarrow\ x-3=x$  

Which set of equations shows a pair of correct moves?

• A, C 

• C, D

• A, C, D

• A, B, C, D 

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CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.EE.B.5

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CCSS.6.EE.B.7