Equivalent Expressions

Learning and practicing creating equivalent expressions by simplifying expressions, combining like terms, and distributing.

Grade 7
Module 3:
Lessons 1 & 2

Simplify with Addition and Subtraction

7y + 7 + 5x - 2 - x- 5y

Step 1: Gather Like Terms

5x - x + 7y - 5y + 7 -2

Step 2: Combine Like Terms

4x + 2y + 5

Multiple Choice

Simplify the expression: 5x - 8x

• 11x

• 3x

• -3x

• 13x

Multiple Choice

Simplify the expression:

8x - 15y + 4 - 10

• -7x - 6

• 8x - 15y - 6

• -7y + 6

• 8x - 15y + 6

Multiple Choice

Simplify the expression:

8x + 4x + 6x - 4x

• 18x - 4x

• 22x

• 14x

• -14x

Simplify with multiplication.

Find the product: 2(-6x)

Step 1: Multiply

2(-6)x

Step 2: Simplify

-12x

Find the product: 2(4x) + 3(2x)

Step 1: Multiply

2(4)x + 3(2)x

Step 2: Simplify

8x + 6x

Step 3: Add

14x

Multiple Choice

Find the product:

4(5x)

• 9x

• x

• 20x

• 4x5x

Multiple Choice

Find the product:

6(-2x) + 7(5y)

• -12x + 35y

• -12 + 35 + x + y

• 23xy

• 12x + 35y

Multiple Choice

Find the product:

5(3x) + 7y(6) + 4 ⋅ 8 ⋅ z

• 89xyz

• 15x + 7y + 6 + 12z

• 8x + 13y + 12z

• 15x + 42y + 32z

Simplify with Distribution

Simplify: (50 + 8) - (5 + 12)

Step 1: Distribute the Negative

(50 + 8) -(5) - (12)

Step 2: Combine

58 - 5 - 12

Step 3: Find the sum:

41

Multiple Choice

(4x - 8 + 6y) - (-7x + 7)

• 11x - 1 + 6y
• 11x - 8 + 6y
• -3x - 1 + 6y
• -3x - 8 + 6y

Multiple Choice

9m - 5m - 10

• 4m - 10

• 5m
• -14m

• 14m - 10

Multiple Choice

Simplify

5x + (4x - 9) + 5

• 9x - 9
• 9x + 9
• 9x - 4
• 9x + 4

Simplify Vertically

Find the sum: (3a + 6b - 4c) + (4a - 9b + 12c)

Step 1: Stack Vertically

3a + 6b - 4c

4a - 9b + 12c

Step 2: Combine Like Terms

7a - 3b + 8c

Drag and Drop

Put the following in standard form:



14 - 12y + 8 - 8x + 2y - 9 ​

Placeholder

Drag these tiles and drop them in the correct blank above

-8x

8x

13

-13

-10y

18xy

18x

10y

-x - 10y + 13

Multiple Choice

Simplify:

(11g + 7h - 8) - (3g-9h + 6)

• 8g - 2h - 14
• 14g + 16h - 14
• 8g - 16h + 2
• 14g - 2h + 14

Multiple Choice

Simplify

(7 + w) - (w + 7)

• 0
• 1
• 14
• w