Grade 12 Multi-step Equations Worksheet

A comprehensive worksheet for Grade 12 students to practice solving multi-step equations involving various algebraic operations.

Grade 12 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

AlgebraMulti-step EquationsSolving EquationsGrade 12Math

7 sections · Free to use · Printable

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Grade 12 Multi-step Equations Practice

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Solve each multi-step equation. Show all your work. Simplify your answers as much as possible.

1. Solve for x: 3(x + 5) - 2x = 20

2. Solve for y: 5(2y - 3) + 4 = 3y + 1

3. The first step to solve the equation \( \frac{2x}{3} + 5 = 11 \) is to .

4. To eliminate the denominators in the equation \( \frac{x}{2} + \frac{x}{3} = 10 \), you should multiply the entire equation by the least common multiple, which is .

5. Which of the following is the correct solution for the equation \( 4(x - 2) = 2x + 6 \)?

\( x = 1 \)

\( x = 7 \)

\( x = 4 \)

\( x = -1 \)

6. Solve for z: \( \frac{z+3}{4} - \frac{z-2}{3} = 1 \)

7. Solve for w: \( 2(w - 1) + 3(w + 2) = 4(w - 3) \)

8. The equation \( 2x + 5 = 2x - 3 \) has no solution.

True

False