Expressions, equations, and Inequalities Quiz 3.4
Authored by Mrs. Galt
Mathematics
6th Grade
CCSS covered
Used 6+ times
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28 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Which of these is the correct use of the distributive property for the following expression?
5(2x - 8)
10x - 8
10x + 40
7x - 3
10x - 40
Answer explanation
To apply the distributive property, multiply 5 by each term in the parentheses: 5 * 2x = 10x and 5 * -8 = -40. Thus, the expression simplifies to 10x - 40, making 10x - 40 the correct choice.
Tags
CCSS.6.EE.A.3
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Simplify the expression: 7v + 2 + 12 + 2v
23
23v
9 + 14v
9v + 14
Answer explanation
Combine like terms: 7v + 2v = 9v and 2 + 12 = 14. Thus, the expression simplifies to 9v + 14, which matches the correct answer choice.
Tags
CCSS.6.EE.A.3
CCSS.6.EE.A.2
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Distribute and then Combine Like Terms:
2(5x + 6) + 7
10x + 12
10x + 7
10x + 19
5x + 19
Answer explanation
First, distribute: 2(5x) + 2(6) + 7 = 10x + 12 + 7. Then, combine like terms: 10x + (12 + 7) = 10x + 19. Thus, the correct answer is 10x + 19.
Tags
CCSS.6.EE.A.3
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Combine Like Terms
12x2 + 3x2 + 4x + 5x + 5x2 + 2
20x2 + 9x + 2
30x2 + 9x + 2
29x2 + 2
15x2 + 9
Answer explanation
Combine like terms: 12x² + 3x² + 5x² = 20x²; 4x + 5x + 5x = 9x; the constant is 2. Thus, the expression simplifies to 20x² + 9x + 2, which matches the correct answer.
Tags
CCSS.6.EE.A.3
CCSS.6.EE.A.4
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Jamie uses the following expression to figure out how many wrapped presents she will have:
6h + s
The variable h represents how many hours she spends wrapping and s represents how many presents that were already wrapped. If she wrapped for 4 hours and already had 10 presents wrapped, how many wrapped presents will she have?
34 wrapped presents
74 wrapped presents
20 wrapped presents
40 wrapped presents
Answer explanation
To find the total wrapped presents, substitute h = 4 and s = 10 into the expression: 6h + s = 6(4) + 10 = 24 + 10 = 34. Thus, Jamie will have 34 wrapped presents.
Tags
CCSS.6.EE.A.2
CCSS.6.EE.B.6
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
A
B
C
D
Tags
CCSS.6.EE.B.8
7.
MULTIPLE SELECT QUESTION
15 mins • 1 pt
What are the two basic rules for solving algebraic equations?
Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign
Negative signs can be ignored
Always start on the left side, regardless of where the variable is
Always do the opposite operation
Answer explanation
The two basic rules for solving algebraic equations are: 1) Whatever you do to one side of the equal sign, you must do to the other side, and 2) Always perform the opposite operation to isolate the variable.
Tags
CCSS.6.EE.B.7
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