Combine Like Terms & Distributive Property Practice

Combine Like Terms & Distributive Property Practice

7th Grade

24 Qs

quiz-placeholder

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Combine Like Terms & Distributive Property Practice

Combine Like Terms & Distributive Property Practice

Assessment

Quiz

Mathematics

7th Grade

Practice Problem

Hard

CCSS
7.EE.A.1, 6.EE.A.3, 6.EE.A.2C

+4

Standards-aligned

Created by

Molly Kinney

Used 7+ times

FREE Resource

24 questions

Show all answers

1.

DRAG AND DROP QUESTION

1 min • 4 pts

8x
4
+
2

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 BLANK QUESTION

1 min • 4 pts

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

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

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

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

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 BLANK QUESTION

1 min • 5 pts

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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