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Combine Like Terms & Distributive Property Practice
Authored by Molly Kinney
Mathematics
7th Grade
CCSS covered
Used 8+ times
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24 questions
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1.
DRAG AND DROP QUESTION
1 min • 4 pts
Simplify the expression: .
(a) - 2 + (b)
8x (c) (d)
6
-
2x
5x
Answer explanation
Combine like terms: 3x + 5x = 8x and -2 + 4 = 2. Thus, the simplified expression is 8x + 2.
Tags
CCSS.7.EE.A.1
2.
FILL IN THE BLANKS QUESTION
1 min • 4 pts
Apply the distributive property to simplify: .
(a)
Answer explanation
To simplify 4(2x + 3), apply the distributive property: 4 * 2x + 4 * 3 = 8x + 12. The correct answer is 8x + 12, not 6x + 12.
Tags
CCSS.6.EE.A.3
3.
MULTIPLE CHOICE QUESTION
30 sec • 2 pts
Write an expression for the perimeter of a rectangle with length and width .
Remember: to find perimeter add the sides together
Answer explanation
The perimeter of a rectangle is calculated by adding the lengths of all sides. Since a rectangle has two lengths and two widths, the formula is 2l + 2w, which matches the correct choice.
Tags
CCSS.6.EE.B.6
4.
MULTIPLE CHOICE QUESTION
30 sec • 2 pts
Write an expression for the area of a rectangle with length and width .
Remember: to find the area multiply, length times width
Answer explanation
The area of a rectangle is calculated by multiplying the length (l) by the width (w). Therefore, the correct expression for the area is lw, which represents length times width.
Tags
CCSS.HSA-SSE.A.1A
5.
DRAG AND DROP QUESTION
1 min • 3 pts
Evaluate the expression when .
2( (a) ) + 3
(b) + 3
(c)
4
8
11
x
6
5
2
Answer explanation
To evaluate the expression 2x + 3 when x = 4, substitute 4 for x: 2(4) + 3 = 8 + 3 = 11. Therefore, the correct answer is 11.
Tags
CCSS.6.EE.A.2C
6.
DRAG AND DROP QUESTION
1 min • 3 pts
Simplify the expression: .
(a) + 4 - 6
4y (b) (c)
4y
-
2
10y
+
10
6
Answer explanation
To simplify the expression, combine like terms: 7y - 3y = 4y and 4 - 6 = -2. Thus, the simplified expression is 4y - 2, which matches the correct answer.
Tags
CCSS.7.EE.A.1
7.
FILL IN THE BLANKS QUESTION
1 min • 5 pts
Apply the distributive property to simplify: .
(a)
Answer explanation
To simplify 5(3x - 2), apply the distributive property: 5 * 3x = 15x and 5 * -2 = -10. Thus, the expression simplifies to 15x - 10.
Tags
CCSS.6.EE.A.3
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