Grade 11 Multi-step Equations Worksheet

Practice solving multi-step linear equations with variables on both sides, distributive property, and combining like terms, suitable for Grade 11 algebra students.

Grade 11 Math AlgebraOne-variable EquationsSolving EquationsMulti-step Equations

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.REI.B.3CCSS.MATH.CONTENT.HSA.CED.A.1

Topics

AlgebraEquationsMulti-stepGrade 11

7 sections · Free to use · Printable

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Multi-step Equations Practice

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

1. Solve for x: 5x + 3(2x - 7) = 25

2. Solve for y: 4(y - 2) - 3y = 10 - 2y

3. To solve the equation 2(x + 3) = 10, the first step is to use the property.

4. When solving an equation with variables on both sides, the goal is to gather all the variable terms on one side and the terms on the other side.

5. Which of the following is the correct first step to solve 3x - 5 = 7x + 11?

Add 5 to both sides

Subtract 7x from both sides

Divide by 3 on both sides

Multiply by -5 on both sides

6. The perimeter of a rectangle is 48 inches. The length is 3 inches more than twice the width. Find the dimensions of the rectangle.

7. The equation 2x + 5 = 2x - 3 has no solution.

True

False