Algebra Test Inequalities 1 — Questions and Answers
Question 1: Solve: x + 5 > 9
- x > 14
- x > 4 (Correct answer)
- x < 4
- x < 14
Correct answer: x > 4
Subtract 5 from both sides to get x > 4.
Question 2: When must you flip the inequality symbol while solving?
- When adding a positive number
- When subtracting a positive number
- When multiplying or dividing by a negative number (Correct answer)
- When adding a negative number
Correct answer: When multiplying or dividing by a negative number
Multiplying or dividing both sides by a negative number reverses the inequality direction.
Question 3: Solve: 3x ≤ 12
- x ≤ 4 (Correct answer)
- x ≤ 9
- x ≥ 4
- x ≥ 9
Correct answer: x ≤ 4
Divide both sides by 3 to get x ≤ 4.
Question 4: How is x > 3 shown on a number line?
- Closed circle at 3, shading left
- Open circle at 3, shading right (Correct answer)
- Closed circle at 3, shading right
- Open circle at 3, shading left
Correct answer: Open circle at 3, shading right
x > 3 uses an open circle (3 not included) with shading to the right.
Question 5: Solve: -2x > 8
- x > -4
- x < -4 (Correct answer)
- x > 4
- x < 4
Correct answer: x < -4
Divide both sides by -2 and flip the inequality: x < -4.
Question 6: Which inequality represents 'at least 5'?
- x < 5
- x ≤ 5
- x > 5
- x ≥ 5 (Correct answer)
Correct answer: x ≥ 5
'At least 5' means 5 or more, which is x ≥ 5.
Algebra Test Inequalities 1
Solve: x + 5 > 9