BSEP Algebraic Concepts 2 — Questions and Answers
Question 1: What is the value of x in the equation 3x - 9 = 12?
- 3
- 5
- 7
- 9 (Correct answer)
Correct answer: 9
Add 9 to both sides to get 3x = 21, then divide by 3 to get x = 7.
Question 2: Which expression is equivalent to 4(2x + 3)?
- 6x + 7
- 8x + 12 (Correct answer)
- 8x + 3
- 6x + 12
Correct answer: 8x + 12
Distribute 4 to each term inside the parentheses: 4·2x = 8x and 4·3 = 12.
Question 3: If y = 2x + 5, what is y when x = -3?
- -1 (Correct answer)
- 1
- -11
- 11
Correct answer: -1
Substitute x = -3: y = 2(-3) + 5 = -6 + 5 = -1.
Question 4: Solve for n: 5n + 4 = 2n + 19
- 3
- 5 (Correct answer)
- 7
- 15
Correct answer: 5
Subtract 2n from both sides: 3n + 4 = 19, then subtract 4: 3n = 15, so n = 5.
Question 5: What is the slope of the line described by y = -4x + 7?
- 7
- -7
- 4
- -4 (Correct answer)
Correct answer: -4
In slope-intercept form y = mx + b, the slope m is the coefficient of x, which is -4.
Question 6: Which pair of values (x, y) satisfies both equations: x + y = 6 and x - y = 2?
- (2, 4)
- (4, 2) (Correct answer)
- (3, 3)
- (5, 1)
Correct answer: (4, 2)
Adding the equations gives 2x = 8, so x = 4; substituting back gives y = 2.
Question 7: A store sells pens for $2 each. If Maria spends $d on pens, which expression represents the number of pens she bought?
- 2d
- d - 2
- d/2 (Correct answer)
- d + 2
Correct answer: d/2
Dividing total dollars spent by the price per pen gives d ÷ 2 = d/2 pens.
BSEP Algebraic Concepts 2
What is the value of x in the equation 3x - 9 = 12?