BMST - Basic Math and Science Algebraic Equations and Inequalities Questions and Answers 4 — Questions and Answers
Question 1: Solve the system: x + y = 8 and x - y = 2
- x = 5, y = 3 (Correct answer)
- x = 3, y = 5
- x = 6, y = 2
- x = 4, y = 4
Correct answer: x = 5, y = 3
Adding the equations gives 2x = 10, so x = 5; substituting back gives y = 3.
Question 2: Which inequality is equivalent to -3x ≥ 9?
- x ≤ -3 (Correct answer)
- x ≥ -3
- x ≤ 3
- x ≥ 3
Correct answer: x ≤ -3
Dividing both sides by -3 requires flipping the inequality sign, giving x ≤ -3.
Question 3: What value of x makes the equation x² = 49 true (positive solution)?
- 7 (Correct answer)
- 24.5
- 14
- 49
Correct answer: 7
Taking the square root of both sides gives x = ±7; the positive solution is x = 7.
Question 4: A number increased by 15 is at most 40. Which inequality models this?
- n + 15 ≤ 40 (Correct answer)
- n + 15 < 40
- n - 15 ≤ 40
- 15n ≤ 40
Correct answer: n + 15 ≤ 40
'At most 40' means less than or equal to 40, so the inequality is n + 15 ≤ 40.
Question 5: Solve for y: 3y/5 = 9
- y = 15 (Correct answer)
- y = 27
- y = 3
- y = 45
Correct answer: y = 15
Multiply both sides by 5 to get 3y = 45, then divide by 3 to get y = 15.
Question 6: If 2(3x + 1) = 20, what is x?
- x = 3 (Correct answer)
- x = 4
- x = 10
- x = 9
Correct answer: x = 3
Dividing both sides by 2 gives 3x + 1 = 10, then 3x = 9, so x = 3.
Question 7: Graph of which inequality shades to the left on a number line?
- x < 4 (Correct answer)
- x > 4
- x ≥ 4
- x = 4
Correct answer: x < 4
x < 4 includes all values less than 4, which are to the left of 4 on a number line.
BMST - Basic Math and Science Algebraic Equations and Inequalities Questions and Answers 4
Solve the system: x + y = 8 and x - y = 2