Unit 2 Exam Review

Based on these diagrams, which statement is true?

• The value of x should be 75, because the angles shown in the diagrams are congruent.

• The value of x should be 105, because the measures of angles shown in the diagrams add up to 180°.

• The value of x should be 140, because the measures of angles shown in the diagrams add up to 360° and 360 — (110+110) = 140.

• The value of x should be 70, because the measures of angles shown in the diagrams add up to 70°.

Tags

CCSS.7.EE.B.3

Renting video games from Store S costs $2.50 per game plus a monthly fee of $5.00. Renting video games from Store T costs $5.00 per game with no monthly fee. The monthly cost to rent video games depends on the number of video games, v, rented. Which inequality represents the situation when the monthly cost at Store S is less than the monthly cost at Store T?

• 2.5v + 5 < 5v

• 2.5v + 5 > 5v

• 7.5v < 5v

• 7.5v > 5v

Tags

CCSS.7.EE.B.3

A tank starts off containing 1,060 gallons of water, and 35 gallons of water leaks from the tank every hour. At the same time, an empty pool is filled with water at a rate of 480 gallons per hour. Which inequality represents all possible values for x, the number of hours that have passed when the tank contains less water than the pool?

• 1,060 + 35x > 480x

• 1,060 - 35x > 480x

• 1,060 - 35x < 480x

• 1,060 + 35x < 480x

Tags

CCSS.7.EE.B.3

What value of x makes this equation true?

12x - 15 = 6 - 3x

• 7/3

• 3/7

• 5/7

• 7/5

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

The side lengths in yards of a triangle and a square are shown in the diagram. The perimeter of the triangle is equal to the perimeter of the square. What is the value of x?

• -4

• 2/3

• 6

• 5/2

Tags

CCSS.7.EE.B.3

Jessica baked 72 cookies and sold x cookies. Max baked 36 cookies and sold half as many cookies as Jessica did. How many cookies did Jessica sell if they each had the same number of cookies left over?

• 18

• 36

• 24

• 72

Tags

CCSS.3.OA.D.8

The perimeter of the triangle shown is 17x units. The dimensions of the triangle are given in units. Which equation can be used to find the value of x?

• 17x = 30 + 7x

• 17x = 15 + 22x

• 17x = 7 + 30x

• 17x = 22 + 15x

Tags

CCSS.7.NS.A.3

Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year. Which equation can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria?

• 45,000x + 2,500x = 54,000x + 1,500x

• 45,000x + 2,500 = 54,000x + 1,500

• 45,000 + 2,500x = 54,000 + 1,500x

• 45,000x + 2,500x = 54,000x + 1,500

Tags

CCSS.7.EE.B.3

The measures of two angles are (5x + 24)° and (9x - 17)°. What is the value of x if these angles are congruent?

• 1.75

• 13.2

• 0.5

• 10.25

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.A.2

CCSS.6.EE.A.4

CCSS.6.EE.B.7

Based on these triangles, which statement is true?

• w = 75°, because 45 + 60 = 105 and 180 - 105 = 75

• w = 105°, because 180 - (45 + 60) = 75 and 180 - 75 = 105

• w = 285°, because 45 + 60 = 105 and 105 + 180 = 285

• w = 165°, because 180 - 60 = 120 and 120 + 45 = 165

Tags

CCSS.7.EE.B.3