STAAR Review - Angle Relationships and Equations

Eddie compared prices of two auto-rental agencies for the use of a mid-size auto for one week. Right Price Auto charged a flat fee of $386 plus 20¢ per mile driven. EconoCar charged a flat fee of $344 plus 35¢ per mile driven. Which equation should he use to determine the distance in miles, m, that would make the total charges of both auto-rental agencies equal?

• 386 + 20m = 344 + 35m

• 344 + 20m = 386 + 35m

• 386 + .20m = 344 + .35m

• 344 + .20m = 386 + .35m

Tags

CCSS.8.EE.C.7

A local bakery has a daily operating cost of $1800 plus a cost of $10 per cake they make. If a cake sells for $15, which equation could be used to determine the minimum number of cakes, c, they must sell each day to earn a profit?

• 15c < 1800 + 10c

• 15c > 1800 + 10c

• 10c < 1800 + 15c

• 10c > 1800 + 15c

Tags

CCSS.8.EE.C.7

CCSS.8.F.B.4

Rita plans to make a call using a calling card. For each call, Rita has two options:

1. Pay $0.49, plus an additional $0.019 per minute.

2. Pay $0.059 per minute.

She predicts that her call will be x minutes long. Which inequality represents the statement, "Rita would save money using the second option"?

• 0.019 + 0.49x < 0.059

• 0.019 + 0.49x > 0.059

• 0.019x + 0.49 < 0.059x

• 0.019x + 0.49 > 0.059x

Tags

CCSS.8.EE.C.7

CCSS.8.F.A.2

CCSS.8.F.B.4

Luis and Roberto are donating some of their baseball cards to the library. Luis started with 50 cards and gave away X number of them. Roberto started with 80 cards and gave away 3 times as many as Luis had given away.

If they both now have the same number of cards, how many cards do they each have?

• 35

• 15

• 45

• 65

Tags

CCSS.8.EE.C.7

CCSS.8.EE.C.8

Valerie and Melanie are both saving money for summer camp. Valerie has $50 and will be able to save $15 each week from her babysitting job. Melanie has $75 and will save $10 each week from her lawn mowing job.Which equation can be used to determine the number of weeks, w, that will have passed when Melanie and Valerie have the same amount of money?

• 50 = 75 + 5w

• 15 = 125w + 10

• 15 + 50W = 75w + 10

• 15w + 50 = 75 + 10w

Tags

CCSS.8.EE.C.7

CCSS.8.F.B.4

Gus and Mark collect baseball cards and they keep them in plastic sleeves. Gus has 5 plastic sleeves that are full of cards. Mark has 2 sleeves full of cards and 6 additional cards.If Gus and Mark have the same number of cards, which equation could be used to find the number of cards in one sleeve?

• s + 5 = s + 2 + 6

• 5s = 2s + 6

• 5s + 6 = 2s

• 5s = 2s - 6

Tags

CCSS.8.EE.C.7

What is the solution to this equation?

2 x + 3 = x − 4

Tags

CCSS.8.EE.C.7

What value of x makes this equation true?

12 x - 15 = 6 - 3 x

• $\frac{7}{3}$

• $\frac{3}{7}$

• $\frac{5}{7}$

• $\frac{7}{5}$

Tags

CCSS.8.EE.C.7

According to the information provided, which of the following pairs of angles are not always congruent?

• same side exterior angles 2 and 7

• alternate exterior angles 1 and 7

• corresponding angles 3 and 7

• vertical angles 5 and 7

Tags

CCSS.8.G.A.5

Based on the diagram, which statement is true?

• The value of x is 79, because the two angles shown in each diagram are congruent.

• The value of x is 101, because the two angles shown in each diagram are supplementary.

• The value of x is greater than 90, because the two angles shown in each diagram are obtuse angles.

• The value of x is 11, because the two angles shown in each diagram are complementary.

Tags

CCSS.8.G.A.5