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Simplifying Equations

This worksheet helps sixth-grade students practice simplifying algebraic expressions and equations through various problem types.

Grade 6 Math AlgebraSimplifying Equations
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Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.6.EE.A.3CCSS.MATH.CONTENT.6.EE.B.5

Topics

mathalgebraequationssimplifyinggrade 6
8 sections · Free to use · Printable
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Simplifying Equations

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Read each question carefully and simplify the expressions or solve the equations as instructed. Show all your work.

1. Combining like terms means adding or subtracting terms that have the same  .

2. The   property states that a(b + c) = ab + ac.

3. To simplify 3x + 5 + 2x, you would combine 3x and 2x to get  .

4. Which expression is equivalent to 4(2x + 3)?

a

8x + 3

b

6x + 7

c

8x + 12

d

4x + 12

5. Which expression is the simplified form of 7y - 2 - 3y + 5?

a

4y + 3

b

10y + 7

c

4y - 7

d

10y + 3

6. Simplify the expression: 5a + 7b - 2a + 3b

7. Simplify the expression: 6(x - 2) + 4

8. The expression 2x + 3y can be simplified further.

T

True

F

False

9. Distributing 5 to (y + 4) results in 5y + 20.

T

True

F

False

10. Solve for x: 2x + 7 = 15

11. Solve for y: 4y - 3 = 9

12. Use the number line below to show the solution to x + 3 = 8.

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