Math · Inequalities
Solving Two-Step Inequalities
Solve inequalities like 2x + 3 > 11, remember to flip the sign for negatives, and write inequalities from words.
- 🎓 Grade 7
- 🧮 Math
- 📐 7.EE.B.4b
- ❓ 22 questions
Play with this set
Pick a game: the questions load straight in
Opens on your board, ready to play in teams. No student devices needed.
Questions 22 questions
Answers stay hidden until you show them, so this page is safe on the projector.
Solve: −3x + 2 ≥ −13
- A x ≥ 5
- B x ≤ 5
- C x ≤ −5
- D x ≤ 6
Dividing by a negative number flips the inequality sign.
Solve: −3x + 3 ≥ −15
- A x ≤ −6
- B x ≥ 6
- C x ≤ 4
- D x ≤ 6
Dividing by a negative number flips the inequality sign.
Solve: 5x + 11 < 36
- A x > 5
- B x < 5
- C x < −5
- D x < 6
Subtract 11, then divide by 5.
Sam has $30. Books cost $7 each. What is the greatest number of books he can buy?
- A 210
- B 4
- C 23
- D 5
7b ≤ 30, so b ≤ 4.28…; he can buy 4.
Solve: 4x + 11 > −9
- A x < −5
- B x > −4
- C x > 5
- D x > −5
Subtract 11, then divide by 4.
Solve: 7x + 14 ≤ 63
- A x ≥ 7
- B x ≤ 11
- C x ≤ 7
- D x ≤ −7
Subtract 14, then divide by 7.
Which number is a solution of x + 4 < 9?
- A 9
- B 3
- C 13
- D 5
Solve: −3x + 6 > −6
- A x < 4
- B x < −4
- C x < 0
- D x > 4
Dividing by a negative number flips the inequality sign.
Solve: 4x + 8 ≥ 48
- A x ≥ 10
- B x ≥ −10
- C x ≥ 14
- D x ≤ 10
Subtract 8, then divide by 4.
Solve: 5x + 13 > 23
- A x > 2
- B x > −2
- C x < 2
- D x > 3
Subtract 13, then divide by 5.
Solve: −7x + 11 < −52
- A x < 9
- B x > −9
- C x > 9
- D x > 10
Dividing by a negative number flips the inequality sign.
Solve: 6x + 15 ≤ 45
- A x ≤ 10
- B x ≤ −5
- C x ≤ 5
- D x ≥ 5
Subtract 15, then divide by 6.
Solve: 4x + 3 < −5
- A x < −1
- B x < −2
- C x > −2
- D x < 2
Subtract 3, then divide by 4.
Solve: 8x + 14 < 94
- A x < −10
- B x < 10
- C x < 11
- D x > 10
Subtract 14, then divide by 8.
Solve: 5x + 15 ≥ 40
- A x ≥ 5
- B x ≤ 5
- C x ≥ −5
- D x ≥ 11
Subtract 15, then divide by 5.
Which inequality means "at least 18"?
- A x ≤ 18
- B x > 18
- C x ≥ 18
- D x < 18
Solve: −5x + 5 ≥ 25
- A x ≤ 4
- B x ≥ −4
- C x ≤ −4
- D x ≤ −6
Dividing by a negative number flips the inequality sign.
Solve: −7x + 2 > −61
- A x < 9
- B x > 9
- C x < −9
- D x < 10
Dividing by a negative number flips the inequality sign.
Solve: 5x + 5 ≤ −15
- A x ≤ −4
- B x ≤ 4
- C x ≥ −4
- D x ≤ −2
Subtract 5, then divide by 5.
Which inequality means "no more than 50"?
- A x ≥ 50
- B x > 50
- C x < 50
- D x ≤ 50
Solve: 8x + 11 > 27
- A x > 2
- B x > −2
- C x > 3
- D x < 2
Subtract 11, then divide by 8.
Solve: 5x + 15 > 50
- A x > −7
- B x > 13
- C x > 7
- D x < 7
Subtract 15, then divide by 5.
More question sets