Questions

1) Solve for “y”.

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2) Solve: b – 8 < 15

a.) b = 23

b.) b > 23

c.) b < 23

d.) b < 7

3) Solve for “z”.

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4) Solve for “v”.

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5) What is the least whole number “x” for which 2x > 11?

a.) 5

b.) 6

c.) 9

d.) 12

6) Brianna has $500 to spend at a flea market. She wants to purchase an antique gun for her father and some antique dolls for her mother. She has already spent $295 on a gun for her father. Which inequality represents, at most, the amount of money she can spend on the dolls for her mother? State the letter of the correct answer.

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7) Which graph represents the solution to the given inequality? State the letter of correct answer.

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8) Which graph represents the solution to the given inequality? State the letter of correct answer.

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9) Which graph represents the solution to the given inequality? State the letter of correct answer.

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10) Solve the inequality for “x”.

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11) Solve the inequality for “q”.

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12) Solve the inequality for “p”.

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13) Solve the inequality for “y”.

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14) Seven more than three times a number is at most thirty-seven.

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15) Five less than half of a number is at least negative eight.

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16) For a field trip to New York City, four buses and a van, which rides seven students, is scheduled for the trip. If there are at least 140 students attending the trip, what is the least number of students that will ride on each bus assuming there are an equal number of students on each bus?

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17) Solve for "x".

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18) Solve for “x”.

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19) Solve for “x”.

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20) Which compound inequality matches the graph? State the letter of the correct answer.

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21) Which compound inequality matches the graph? State the letter of the correct answer.

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22) Which graph matches the compound inequality? State the letter of the correct graph.

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23) Refer to the scenario given below to answer the following question: Which inequality describes the part of Highway 8 where both radio stations can be received? State the letter of the correct answer. Radio station WMAT in Math City is 200 miles from radio station WGEO in Geometry City. Highway 8, a straight road, connects the two cities.

WMAT broadcasts can be received up to 150 miles in all directions from the station and WGEO broadcasts can be received up to 125 miles in all directions. Radio waves travel from each station through the air, as represented below.

Print out and complete the drawing below to show the part of Highway 8 where both radio stations can be received. Think of station WMAT being located at mile marker 0 and station WGEO located at mile marker 200. Add numbers to the number line at each hash mark, equally-spaced divisions of Highway 8.

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24) The graph given below represents the solution to which equation?

a.) |x| = 5

b.) x = 5

c.) x = –5

d.) none of the above

25) State the two solutions for “x”.

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26) State the two solutions for “x”.

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27) Choose the best phrase that fits the solution to the given absolute value inequality.

a.) all real numbers

b.) x < 17 and x > –3

c.) no solution

d.) x > 17 or x < –3

e.) x = 17 or x = –3

28) Choose the best phrase that fits the solution to the given absolute value inequality.

a.) all real numbers

b.) x < 17 and x > –3

c.) no solution

d.) x > 17 or x < –3

e.) x = 17 or x = –3

29) Solve for “x”.

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30) Graph the given inequality on graph paper, and then determine which graph matches the inequality. State the letter of the correct answer.

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31) Graph the given inequality on graph paper, and then determine which graph matches the inequality. State the letter of the correct answer.

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32) Graph the given inequality on graph paper, and then determine which graph matches the inequality. State the letter of the correct answer.

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33) Graph the system of inequalities on graph paper and determine the area of points that satisfies both inequalities. The intersection of the two inequality areas is represented by the dark grid in each of the answer choices. State the letter of the correct solution.

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