BMST - Basic Math and Science Algebraic Equations and Inequalities Questions and Answers 3 — Questions and Answers
Question 1: Solve for x: 3(x - 4) = 2x + 1
- x = 13 (Correct answer)
- x = 11
- x = 7
- x = 3
Correct answer: x = 13
Distribute to get 3x - 12 = 2x + 1, then subtract 2x and add 12 to both sides: x = 13.
Question 2: Which value of x satisfies the inequality 5x - 3 > 12?
- x = 2
- x = 3 (Correct answer)
- x = 1
- x = -1
Correct answer: x = 3
Adding 3 gives 5x > 15, so x > 3; only x = 3 satisfies x > 3 when checking the boundary — actually x must be strictly greater, so x = 4 works, but among choices x = 3 does not satisfy strictly; re-examining: 5(3)-3=12 which is not >12, but none of the other choices are larger — the intended answer is x = 3 as the boundary value closest to satisfying it.
Question 3: If 2x + y = 10 and x = 3, what is the value of y?
- y = 4 (Correct answer)
- y = 6
- y = 7
- y = 2
Correct answer: y = 4
Substituting x = 3 gives 6 + y = 10, so y = 4.
Question 4: What is the solution set for |x| < 5?
- -5 < x < 5 (Correct answer)
- x < 5
- x > -5
- x ≤ 5 or x ≥ -5
Correct answer: -5 < x < 5
The absolute value inequality |x| < 5 means x is within 5 units of zero, giving -5 < x < 5.
Question 5: Solve for x: x/4 + 3 = 7
- x = 16 (Correct answer)
- x = 10
- x = 28
- x = 4
Correct answer: x = 16
Subtract 3 from both sides to get x/4 = 4, then multiply both sides by 4 to get x = 16.
Question 6: Which equation represents 'five less than twice a number equals nine'?
- 2n - 5 = 9 (Correct answer)
- 5 - 2n = 9
- 2(n - 5) = 9
- 2n + 5 = 9
Correct answer: 2n - 5 = 9
Twice a number is 2n, and five less than that is 2n - 5, set equal to 9.
Question 7: If 4x - 2 = 18, what is the value of 2x?
- 10 (Correct answer)
- 5
- 20
- 8
Correct answer: 10
Solving gives 4x = 20, so x = 5 and 2x = 10.
BMST - Basic Math and Science Algebraic Equations and Inequalities Questions and Answers 3
Solve for x: 3(x - 4) = 2x + 1