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Multistep Equations Quiz

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Multistep Equations Quiz worksheet preview

Multistep Equations Quiz

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📚 Part 1: Multiple Choice (Choose the best answer)

1. Solve: 3(x − 2) = 12

6

8

4

2

2. Solve: 2x + 5 = 3(x − 1)

8

−8

2

4

3. Solve: (1/2)x + 3 = 11

16

8

−16

24

4. Solve: 4(2x + 1) − 3x = 9

1

−1

2

0

✏️ Part 2: Short Answer — Show your work

Directions: Solve each equation. Use the math-work box to show steps and write your final answer in the response area.

5. Solve: 5x − 7 = 2(x + 8)
6. Solve: (3/4)(x − 8) = 6
7. Solve: 0.2x + 1.4 = 2
8. Solve: 7 = (x / 3) + 2
9. Word problem: After returning 1/3 of his marbles, Tom had 18 left. Let x be the number he started with. Write and solve an equation to find x.

🧭 Reflection, Success Criteria & Supports

I can... solve multistep equations that include distribution, combining like terms, fractions, and decimals.

Success criteria:

• I can distribute and simplify both sides of an equation.

• I can isolate the variable by adding/subtracting and multiplying/dividing correctly.

• I can check my solution by substituting back into the original equation.

Differentiation strategies (for diverse learners):

• Provide step-by-step scaffolding prompts for students who need it (e.g., "First distribute," "Combine like terms").

• Offer fraction/decimal conversion reminders or calculators as allowed by the teacher.

• Use one-on-one or small-group guided practice for students needing extra support.

Extension activities (advanced learners):

• Create and solve multistep equations that include variables on both sides and parentheses with fractional coefficients.

• Pose a real-world problem involving two-step financial calculations (discounts + tax) and model with an equation.

Dyslexia-friendly reading options:

• Allow use of colored overlays or background tint for reading comfort.

• Provide audio reading of questions or enlarged, spaced font versions.

Teacher/Student reflection: Which step was most helpful to you when solving multistep equations? (One sentence)

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