7th Grade Math

Test PracticeT

C 39. OPEN ENDED Write two different inequalities that have the solution

y > 6. One inequality should be solved using multiplication

properties, and the other should be solved using division properties.

40. CHALLENGE You score 15, 16, 17, 14, and 19 points out of 20 possible
    points on five tests. What must you score on the sixth test to have an
    average of at least 16 points?


41. E WRITE MATH Explain when you should not reverse the inequality
    symbol when solving an inequality.

Solve each inequality. Check your solution. (Lesson 4B)

45. 20 < - 9 + k 46. 22 ≤ - 15 + y


46. 6 + x < - 27 48. n - 4 ≤ - 11


47. DOG WALKING Doug charges an initial fee of $12 and then $5 for each time
    he walks a dog. Kip does not charge an initial fee but charges $8 each time
    he walks a dog. How many times will a dog have to be walked for the boys
    to earn the same amount? (Lesson 3D)


48. Which inequality represents five more
    than twice a number is less than ten?
    A. (5 + 2)n < 10
    B. 2 n - 5 < 10
    C. 10 < 2 n + 5
    D. 5 + 2 n < 10


49. Which sentence represents the following
    inequality?
    _x 5 - 3 ≤ 8
    F. The difference of a number and 5
    increased by 3 is at most 8.
    G. The quotient of a number and 5
    decreased by 3 is at most 8.
    H. The quotient of a number and 5
    decreased by 3 is 8.
    I. The quotient of a number and 5
    decreased by 3 is at least 8.


50. EXTENDED RESPONSE Karl’s scores on
    the first five science tests are shown
    in the table.

Test 12345

Score 85 84 90 95 88

Part A Write an inequality that

represents how to fi nd the score he

must receive on the sixth test to have

an average score of more than 88.

Part B Solve the inequality to

determine the lowest score he can

receive in order to have an average

score of more than 88.

Lesson 4C Inequalities 253

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