BMST Algebraic Equations and Inequalities 2 — Questions and Answers
Question 1: Solve for x: 3x - 7 = 2x + 5
- x = 2
- x = 12 (Correct answer)
- x = -12
- x = -2
Correct answer: x = 12
Subtract 2x from both sides to get x - 7 = 5, then add 7 to get x = 12.
Question 2: Which value of x satisfies the inequality 4x + 1 > 13?
- x = 2
- x = 3
- x = 4 (Correct answer)
- x = 1
Correct answer: x = 4
Solving 4x > 12 gives x > 3, so x = 4 is the only choice greater than 3.
Question 3: What is the solution to 2(x + 3) = 14?
- x = 4 (Correct answer)
- x = 5
- x = 8
- x = 11
Correct answer: x = 4
Distribute to get 2x + 6 = 14, subtract 6 to get 2x = 8, then divide by 2 to get x = 4.
Question 4: Solve the equation: x/5 = 9
- x = 45 (Correct answer)
- x = 14
- x = 1.8
- x = 4
Correct answer: x = 45
Multiply both sides by 5 to get x = 45.
Question 5: Which inequality represents 'five less than twice a number is at most 11'?
- 2n - 5 ≥ 11
- 2n + 5 ≤ 11
- 2n - 5 ≤ 11 (Correct answer)
- 5 - 2n ≤ 11
Correct answer: 2n - 5 ≤ 11
'Twice a number' is 2n and 'five less than' means subtract 5, giving 2n - 5 ≤ 11.
Question 6: If 5y = 35, what is the value of y + 3?
- 7
- 10 (Correct answer)
- 38
- 32
Correct answer: 10
Dividing 35 by 5 gives y = 7, and 7 + 3 = 10.
Question 7: Solve for x: -3x ≤ 12
- x ≤ -4
- x ≥ -4 (Correct answer)
- x ≤ 4
- x ≥ 4
Correct answer: x ≥ -4
Dividing both sides by -3 requires flipping the inequality sign, giving x ≥ -4.
BMST Algebraic Equations and Inequalities 2
Solve for x: 3x - 7 = 2x + 5