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Try these practice problems before completing your graded work and taking your lesson quiz.

Before you take a graded quiz for this lesson, try this set of practice questions. How well you score on this self-check will be similar to your graded quiz. If you do not score well on this self-check, please review this lesson and try again. If you are still having difficulty, contact your teacher for additional help.

Evaluate (3x + 5) – (2x + 7) when x = 5.

  1. 30 – 34 = -4
  2. 20 – 17 = 3
  3. 20 - 10 + 7 = 17
  4. 30 + 34 = 64

Incorrect. You added first. Start with 3(5) + 5 – (2)(5) + 7 = 15 + 5 - 10 + 7 and then add all of the numbers.

Correct. Nice Work.

Incorrect. You didn't add the numbers inside the second set of parentheses before subtracting. Start with 3(5) + 5 – (2)(5) + 7 = 15 + 5 - 10 + 7 and then add all of the numbers.

Incorrect. Start with 3(5) + 5 – (2)(5) + 7 = 15 + 5 - 10 + 7 and then add all of the numbers

Evaluate 6 – 2(a – b) when a = 4 and b = 2.

  1. 6 - 2(4 - 2) = 4(4 - 2) = 4(2) = 8
  2. 6 - 2(2- 4) = 6 - 2(-2) = 6 + 4 = 10
  3. 6 - 2(4 - 2) = 6 - 2(2) = 6 - 4 = 2
  4. 6 - 2(2- 4) = 4(2 - 4) = 4(-2) = -8

Incorrect. You need to do the operation within the parentheses first; then multiply and then subtract.

Incorrect. Make sure you place the correct values in for the variables before simplifying.

Correct. You substituted correctly and then simplified using the order of operations.

Incorrect. Make sure you place the correct values in for the variables before simplifying; then you need to do the operation within the parentheses first; next multiply and then subtract.

The piggy bank contains 16 dimes, 8 nickels, and 12 quarters. This morning you removed 3 dimes and 5 nickels. Which expression correctly shows the amount remaining in the piggy bank?

  1. 16d + 8n + 12q – (3d + 5n) =
    16(10) + 8(5) + 12(25) – [3(10) + 5(5)] = $4.45
  2. 16d + 8n + 12q – 3d + 5n =
    16(10) + 8(5) + 12(25) – 3(10) + 5(5) = $4.95

Correct.

Incorrect. The correct expression is 16d + 8n + 12q – (3d + 5n). The parentheses show the amount that was removed from the piggy bank.

Summary

Questions answered correctly:

Questions answered incorrectly: