2nd 6 Weeks Review

r. Smith needs to hire a plumber to do repairs at his house. The table shows the amounts Company A and Company B charges for a service call and their hourly rate. Which inequality represents the number of horus that would make Company B less expensive than Company A?

• A. 75 + 20x > 55 + 44x

• B. 75 + 44x > 55 + 20x

• C. 75 + 20x < 55 + 44x

• D. 75 + 44x < 55 + 20x

Tags

CCSS.7.EE.B.4B

Which problem can be solved with this inequality 75 + 0.25x > 50 + 0.75x?

• A. A local fuel station has an air tank. Mark’s tires can hold a maximum of 75 pounds of air. If Mark’s flat tire currently has 50 pounds of air inside and he adds 0.75 pounds per minute, how many minutes will it take to reach the maximum amount of air the tire should hold?

• B. Elle needs to rent a car for the day. Company A charges $75 plus $0.25 for every mile driven. Company B charges $50 plus $0.75 for each mile. For how many miles is Company B less expensive than Company A?

• C. Seventy-five increased by one-fourth x is less than fifty increased by three-fourths x. What values of x satisfy this inequality?

• D. Sarah has $75 in her piggy bank. She adds one quarter every day. Wes has $50 in his piggy bank and adds three quarters every day. For how many days will Sarah have less money in her piggy bank than Wes?

Which equation can be used to find the value of x?

• A. 3x = 90, because linear angle pairs sum to 90°.

• B. 3x = 180, because linear angle pairs sum to 180°.

• C. 130 + 70 + x = 180, because the sum of the interior angles of a triangle sum to 180°.

• D. 130 + 70 + 3x = 360, because the sum of the interior angles of a triangle sum to 360°.

Tags

CCSS.8.G.A.5

The art club is selling candy to raise money for art supplies. The candy company charges the club $200 plus $0.25 per candy bar. If the club members sell the candy bars for $1.25 each, which inequality can be used to determine the number of bars, b, the club members must sell in order to make a profit?

• A. 1.25b < 200 + 0.25b

• B. 1.25b > 200 + 0.25b

• C. 200 < 1.25b + 0.25b

• D. 200 - 1.25b > 0.25b

Tags

CCSS.7.EE.B.4B

Charlene paints portraits at a local art fair. She sells the portraits for $40 each. She spends $160 for paint and brushes. If the canvas for each painting costs $8, which equation and solution can be used to determine, p, the number of portraits Charlene sells before making a profit?

• A. 40p - 160 = 8p; p = 3

• B. 40p + 160 = 8p; p = 5

• C. 40p + 8p = 160; p = 3

• D. 40p = 160 + 8p; p = 5

Solve for x:

• A. 118°

• B. 90°

• C. 62°

• D. 28°

Tags

CCSS.8.G.A.5

Which values of y balances the scale?

• A. -0.2

• B. -0.5

• C. -1.6

• D. -2.5

Tags

CCSS.7.NS.A.1B

There are two rival cab companies. Cab Company Q charges a $2.50 initial fee and 15 cents per mile. Cab Company R charges an initial fee of $1.00 and 20 cents per mile. After how many miles do both cab companies charge the same amount?

• A. 10

• B. 50

• C. 30

• D. Not here

Which situation can be represented by the equation 2x + 150 = 5x?

• A. Mary has 5 stamps and buys 150 stamps each week. Nick has no stamps and buys 2 stamps each week. When will Nick have more stamps than Mary?

• B. Mary has 2 stamps and buys 150 stamps each week. Nick has no stamps and buys 5 stamps each week. When will they have the same number of stamps?

• C. Mary has 150 stamps and buys 5 stamps each week. Nick has no stamps and buys 2 stamps each week. When will Nick have more stamps than Mary?

• D. Mary has 150 stamps and buys 2 stamps each week. Nick has no stamps and buys 5 stamps each week. When will they have the same number of stamps?

Parallel lines l1 and l2 are cut by a transversal t.

Which of the following statements are true?

Vertical angles are congruent, so 5a = 115. Alternate interior angles are congruent, so b - 12 = 65. Corresponding angles are congruent and linear angle pairs sum to 180°, so 5a + 65 = 180.

Alternate interior angles sum to 180°, so (b - 12) + 65 = 180.

• A. I and II only

• B. II and III only

• C. I, II, and III only

• D. I, II, III, and IV

Tags

CCSS.8.G.A.5