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Two-Step Equations Mastery

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Exam-style quiz on solving two-step equations

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Iraq

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Two-Step Equations Mastery
 

Two-Step Equations MasteryOnline version

Exam-style quiz on solving two-step equations

by Hasan Thijeel
1

Which equation is in the two-step form ax + b = c?

2

What is the correct first step to solve 2x + 3 = 11?

3

Solve 2x + 3 = 11. What is x?

4

Solve 5x - 7 = -22. What is x?

5

Solve x/4 + 2 = 9. What is x?

6

After solving 2x + 3 = 11 and getting x = 4, does substituting x = 4 satisfy the original equation?

7

Which option shows the correct solution process for 3x - 4 = 8?

8

Solve -4x + 9 = 1. What is x?

9

Which equation is in the standard two-step form ax + b = c with a ≠ 0?

10

Solve x/3 + 4 = 10. What is x?

Feedback

A two-step equation has both an x-term and a constant on the left, equaling a constant on the right.

To isolate the term with x, undo addition by subtracting 3 from both sides.

2x = 8, so x = 4.

Add 7 to both sides: 5x = -15, hence x = -3.

Subtract 2: x/4 = 7, so x = 28.

Plugging x=4 gives 2(4)+3=11, which is true.

Undo subtraction first, then isolate x by dividing by 3.

Subtract 9: -4x = -8, x = 2.

Shows an x-term plus a constant equals a constant.

Subtract 4: x/3 = 6, hence x = 18.

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