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.
Which of the following properties was used in the expression shown here?
5(25x – 6) = 125x – 30
- Associative Property
- Commutative Property
- Distributive Property
Incorrect. The associative property regroups the terms.
Incorrect. The commutative property rearranges the terms into a different order.
Correct. The distributive property multiplies the terms inside the parentheses by the term outside the parentheses.
Which of the following properties was used in the expression shown here?
5(25x – 6) = 5(-6 + 25x)
- Associative Property
- Commutative Property
- Distributive Property
Incorrect. The associative property regroups the terms.
Correct. The commutative property rearranges the terms into a different order.
25x and –6 traded places.
Incorrect. The distributive property multiplies the terms inside the parentheses by the term outside the parentheses.
Which of the following properties was used in the expression shown here?
5x + (25x – 6) = (5x + 25x) - 6
- Associative Property
- Commutative Property
- Distributive Property
Correct. The associative property regroups the terms. Notice that the parentheses are around a different group of terms.
Incorrect. The commutative property rearranges the terms into a different order.
Incorrect. The distributive property multiplies the terms inside the parentheses by the term outside the parentheses.
Simplify 8 – 2(3x – 36) + 4x
- 22x – 216
- -2x – 288
- -2x + 80
- x + 900
Incorrect. You subtracted
8 - 2 before multiplying.
Incorrect. You did not distribute the -2 correctly.
-2(3x) + (-2)(-36) = -6x + 72
Correct.
Incorrect. You subtracted
8 - 2 before multiplying. You also forgot to distribute to the second term. For your problem you should have
(6)(3x) – (6)(-36).
Ben worked 5 hours at x dollars per hour. Julie worked 8 hours and earned twice as much as Ben per hour. Phil worked 10 hours and earned 4 dollars an hour less than Julie. Choose the expression that is correctly simplified and best represents their total wages.
- 31x – 4
- 31x – 40
- 41x – 10
- 41x – 40
Incorrect. The third term in your original expression is wrong. It should be
10(2x -4). You also forgot to distribute to the second term (10)(-4).
Incorrect. The third term in your original expression is wrong. It should be
10(2x -4).
Incorrect. You forgot to distribute to the second term in 10(2x – 4).
(10)(2x) + (10)(-4)
Correct. Nicely done.
Summary
Questions answered correctly:
Questions answered incorrectly:
