BSEP Algebraic Concepts 4 — Questions and Answers
Question 1: What is the solution to the inequality 4x < 20?
- x < 5 (Correct answer)
- x > 5
- x ≤ 5
- x ≥ 5
Correct answer: x < 5
Divide both sides by 4: x < 5.
Question 2: Which ordered pair lies on the line y = 2x - 1?
- (1, 0)
- (2, 3)
- (0, -1) (Correct answer)
- (3, 4)
Correct answer: (0, -1)
When x = 0: y = 2(0) - 1 = -1, confirming (0, -1) is on the line.
Question 3: Evaluate the expression 2a² - 3b when a = 3 and b = 4.
- 6 (Correct answer)
- 18
- 30
- 54
Correct answer: 6
Substitute: 2(3²) - 3(4) = 2(9) - 12 = 18 - 12 = 6.
Question 4: Which property is used to rewrite 5(x + 3) as 5x + 15?
- Commutative property
- Associative property
- Distributive property (Correct answer)
- Identity property
Correct answer: Distributive property
The distributive property states a(b + c) = ab + ac, used here to expand 5(x + 3).
Question 5: Solve for x: x/4 + 3 = 7
- 1
- 16 (Correct answer)
- 4
- 40
Correct answer: 16
Subtract 3 from both sides: x/4 = 4, then multiply both sides by 4: x = 16.
Question 6: Two numbers have a sum of 20 and a difference of 6. What are the two numbers?
- 7 and 13 (Correct answer)
- 8 and 12
- 9 and 11
- 6 and 14
Correct answer: 7 and 13
If x + y = 20 and x - y = 6, adding gives 2x = 26, so x = 13 and y = 7.
Question 7: What does it mean when two linear equations have no solution?
- The lines intersect at one point
- The lines are the same line
- The lines are parallel (Correct answer)
- The lines are perpendicular
Correct answer: The lines are parallel
Parallel lines never intersect, so a system of two parallel lines has no solution.
BSEP Algebraic Concepts 4
What is the solution to the inequality 4x < 20?