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Simplifying Equations Worksheet

Grade 9 Math worksheet focusing on simplifying algebraic equations, including linear equations, expressions with variables, and multi-step problems.

Grade 9 Math AlgebraSimplifying Equations
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Includes

Short AnswerFill in the BlanksMultiple ChoiceTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSA.APR.A.1
7 sections · Free to use · Printable
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Simplifying Equations

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Read each question carefully and simplify the equations or expressions to their simplest form. Show all your work.

1. Simplify the expression: 5x + 3y - 2x + 7y

2. Simplify the expression: 4(2a - 3b) - (a + 5b)

3. Solve for x: 3x + 7 = 19

x =  

4. Solve for y: 2(y - 4) = 10

y =  

5. What is the value of z in the equation: 5z - 12 = 3z + 4?

a

z = 4

b

z = 8

c

z = -4

d

z = -8

6. True or False: The distributive property states that a(b + c) = ab + c.

T

True

F

False

7. A rectangle has a perimeter of 48 units. If the length is 3 units more than twice the width, write an equation and solve for the dimensions of the rectangle.