Distributive Property & Combining Like Terms
7th Grade
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Distributive Property & Combining Like Terms
Quiz
•
Mathematics
•
7th Grade
•
Medium
Standards-aligned
Juan Bazan-Gonzales
Used 2+ times
FREE Resource
12 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Simplify
4(6n + 9) - 10n
14n +36
19n + 36
-12n +13
-12n + 17
Answer explanation
Distribute 4: 4(6n) + 4(9) = 24n + 36. Then, subtract 10n: 24n - 10n + 36 = 14n + 36. Thus, the simplified expression is 14n + 36, which matches the correct answer.
Tags
CCSS.6.EE.A.3
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Simplify
14 - 3(4n -1)
14n +36
19n + 36
-12n +13
-12n + 17
Answer explanation
To simplify 14 - 3(4n - 1), first distribute -3: 14 - 12n + 3. Then combine like terms: 14 + 3 = 17. The final expression is -12n + 17, which matches the correct answer.
Tags
CCSS.6.EE.A.3
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Simplify
-8n -8(-4 -2n)
8n + 1
19n + 36
8n +32
24n + 32
Answer explanation
To simplify -8n - 8(-4 - 2n), first distribute: -8n + 32 + 16n. Combine like terms: -8n + 16n + 32 = 8n + 32. Thus, the correct answer is 8n + 32.
Tags
CCSS.6.EE.A.3
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Simplify
-5 +5(x+4)
20x - 3
20x - 18
5x + 15
5x +11
Answer explanation
To simplify -5 + 5(x + 4), distribute 5 to get -5 + 5x + 20. Combine like terms: -5 + 20 = 15. Thus, the expression simplifies to 5x + 15, which matches the correct answer.
Tags
CCSS.6.EE.A.3
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Which of the following is equivalent to 3h +7(2 + 4h)?
14h + 31
14 + 28h
45h
31h +14
Answer explanation
To simplify 3h + 7(2 + 4h), first distribute 7: 3h + 14 + 28h. Combine like terms: 3h + 28h + 14 = 31h + 14. Thus, the equivalent expression is 31h + 14.
Tags
CCSS.6.EE.A.3
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Which of the following is equivalent to 8(5f - 7) + 3f ?
43f - 7
37f - 56
43f - 56
43f + 56
Answer explanation
To simplify 8(5f - 7) + 3f, distribute 8 to get 40f - 56, then add 3f: 40f - 56 + 3f = 43f - 56. Thus, the equivalent expression is 43f - 56.
Tags
CCSS.6.EE.A.3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Answer explanation
To simplify -3(4x - 2) - 2x, distribute -3 to get -12x + 6, then combine with -2x to get -14x + 6. Thus, the equivalent expression is -14x + 6.
Tags
CCSS.6.EE.A.3
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