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Multiplying Equations Worksheet

This worksheet provides practice with multiplying equations, including distributing and combining like terms, suitable for Grade 11 algebra students.

Grade 11 Math AlgebraMultiplying Equations
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.APR.D.7

Topics

algebraequationsmultiplicationgrade 11
7 sections · Free to use · Printable
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Multiplying Equations

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Read each question carefully and solve for the variable. Show all your work.

1. Solve for x: 3(x + 5) = 2x - 10

2. Solve for y: 4(2y - 3) = 5(y + 6)

3. Fill in the blanks to complete the solution steps for the equation 2(4z - 7) = 3(z + 2).

8z - 14 =  

8z - 3z =  

5z =  

z =  

4. Which of the following is the correct first step to solve the equation 5(x - 2) = 3x + 8?

a

Add 2 to both sides

b

Subtract 3x from both sides

c

Distribute the 5 on the left side

d

Divide both sides by 5

5. The equation 6(m + 4) = 6m + 24 is true for all real numbers.

T

True

F

False

6. The perimeter of a rectangle is 48 units. If the length is 2(w + 3) and the width is w, write an equation and solve for the width (w).