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Two-Step Equations & Inequalities — Easy Worksheet 1
Grade 7 · MathSheets Name: ____________________ Date: __________
Solve for x.
How to solve
Undo the addition or subtraction first, then divide both sides by the number in front of x. Inequalities are solved the same way; write the answer like x > 3 (dividing by a positive number keeps the sign the same).
Example
5x + 3 = 23
Answer: 4
Not quite. The answer is
💡 Add 8 to both sides: 4x = −12 + 8, so 4x = −4. Divide both sides by 4: x = −4 ÷ 4 = −1. Check: 4 × (−1) − 8 = −12. So x = −1.
✓ Correct!
Not quite. The answer is
💡 Add 8 to both sides: 4x = −12 + 8, so 4x = −4. Divide both sides by 4: x = −4 ÷ 4 = −1. Check: 4 × (−1) − 8 = −12. So x = −1.
💡 How to solve: Two-Step Equations & Inequalities
Undo the addition or subtraction first, then divide both sides by the number in front of x. Inequalities are solved the same way; write the answer like x > 3 (dividing by a positive number keeps the sign the same).
Try a similar one
2x + 5 = -9
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Add 5 to both sides: 4x = −21 + 5, so 4x = −16. Divide both sides by 4: x = −16 ÷ 4 = −4. Check: 4 × (−4) − 5 = −21. So x = −4.
✓ Correct!
Not quite. The answer is
💡 Add 5 to both sides: 4x = −21 + 5, so 4x = −16. Divide both sides by 4: x = −16 ÷ 4 = −4. Check: 4 × (−4) − 5 = −21. So x = −4.
💡 How to solve: Two-Step Equations & Inequalities
Undo the addition or subtraction first, then divide both sides by the number in front of x. Inequalities are solved the same way; write the answer like x > 3 (dividing by a positive number keeps the sign the same).
Try a similar one
9x - 7 = 2
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Add 7 to both sides: 7x = −21 + 7, so 7x = −14. Divide both sides by 7: x = −14 ÷ 7 = −2. Check: 7 × (−2) − 7 = −21. So x = −2.
✓ Correct!
Not quite. The answer is
💡 Add 7 to both sides: 7x = −21 + 7, so 7x = −14. Divide both sides by 7: x = −14 ÷ 7 = −2. Check: 7 × (−2) − 7 = −21. So x = −2.
💡 How to solve: Two-Step Equations & Inequalities
Undo the addition or subtraction first, then divide both sides by the number in front of x. Inequalities are solved the same way; write the answer like x > 3 (dividing by a positive number keeps the sign the same).
Try a similar one
5x - 1 = -21
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Add 8 to both sides: 5x = 7 + 8, so 5x = 15. Divide both sides by 5: x = 15 ÷ 5 = 3. Check: 5 × 3 − 8 = 7. So x = 3.
✓ Correct!
Not quite. The answer is
💡 Add 8 to both sides: 5x = 7 + 8, so 5x = 15. Divide both sides by 5: x = 15 ÷ 5 = 3. Check: 5 × 3 − 8 = 7. So x = 3.
💡 How to solve: Two-Step Equations & Inequalities
Undo the addition or subtraction first, then divide both sides by the number in front of x. Inequalities are solved the same way; write the answer like x > 3 (dividing by a positive number keeps the sign the same).
Try a similar one
3x + 7 = 16
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Subtract 4 from both sides: 4x = 8 − 4, so 4x = 4. Divide both sides by 4: x = 4 ÷ 4 = 1. Check: 4 × 1 + 4 = 8. So x = 1.
✓ Correct!
Not quite. The answer is
💡 Subtract 4 from both sides: 4x = 8 − 4, so 4x = 4. Divide both sides by 4: x = 4 ÷ 4 = 1. Check: 4 × 1 + 4 = 8. So x = 1.
💡 How to solve: Two-Step Equations & Inequalities
Undo the addition or subtraction first, then divide both sides by the number in front of x. Inequalities are solved the same way; write the answer like x > 3 (dividing by a positive number keeps the sign the same).
Try a similar one
7x - 3 = -38
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Subtract 2 from both sides: 9x < 38 − 2, so 9x < 36. Divide both sides by 9. 9 is positive, so the inequality sign stays the same: x < 36 ÷ 9, so x < 4.
✓ Correct!
Not quite. The answer is
💡 Subtract 2 from both sides: 9x < 38 − 2, so 9x < 36. Divide both sides by 9. 9 is positive, so the inequality sign stays the same: x < 36 ÷ 9, so x < 4.
💡 How to solve: Two-Step Equations & Inequalities
Undo the addition or subtraction first, then divide both sides by the number in front of x. Inequalities are solved the same way; write the answer like x > 3 (dividing by a positive number keeps the sign the same).
Try a similar one
9x - 7 = -70
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Add 8 to both sides: 6x < −44 + 8, so 6x < −36. Divide both sides by 6. 6 is positive, so the inequality sign stays the same: x < −36 ÷ 6, so x < −6.
✓ Correct!
Not quite. The answer is
💡 Add 8 to both sides: 6x < −44 + 8, so 6x < −36. Divide both sides by 6. 6 is positive, so the inequality sign stays the same: x < −36 ÷ 6, so x < −6.
💡 How to solve: Two-Step Equations & Inequalities
Undo the addition or subtraction first, then divide both sides by the number in front of x. Inequalities are solved the same way; write the answer like x > 3 (dividing by a positive number keeps the sign the same).
Try a similar one
2x + 10 = 4
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Subtract 3 from both sides: 6x < −33 − 3, so 6x < −36. Divide both sides by 6. 6 is positive, so the inequality sign stays the same: x < −36 ÷ 6, so x < −6.
✓ Correct!
Not quite. The answer is
💡 Subtract 3 from both sides: 6x < −33 − 3, so 6x < −36. Divide both sides by 6. 6 is positive, so the inequality sign stays the same: x < −36 ÷ 6, so x < −6.
💡 How to solve: Two-Step Equations & Inequalities
Undo the addition or subtraction first, then divide both sides by the number in front of x. Inequalities are solved the same way; write the answer like x > 3 (dividing by a positive number keeps the sign the same).
Try a similar one
8x + 3 = 27
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Two-Step Equations & Inequalities — Easy Worksheet 1
Solve for x.