BSEP Algebraic Concepts 5 — Questions and Answers
Question 1: Which expression represents 'five less than three times a number k'?
- 5 - 3k
- 3k - 5 (Correct answer)
- 3(k - 5)
- 5k - 3
Correct answer: 3k - 5
'Three times a number k' is 3k, and 'five less than' that means subtract 5, giving 3k - 5.
Question 2: If the equation 6x + c = 18 has the solution x = 2, what is the value of c?
- 6 (Correct answer)
- -6
- 30
- 3
Correct answer: 6
Substitute x = 2: 6(2) + c = 18 → 12 + c = 18 → c = 6.
Question 3: What is the result of subtracting (3x - 4) from (7x + 2)?
- 4x + 6 (Correct answer)
- 4x - 6
- 10x - 2
- 10x + 6
Correct answer: 4x + 6
(7x + 2) - (3x - 4) = 7x + 2 - 3x + 4 = 4x + 6.
Question 4: A number is multiplied by 3, then 7 is added, giving a result of 28. What is the number?
- 5
- 7 (Correct answer)
- 9
- 11
Correct answer: 7
Let n be the number: 3n + 7 = 28 → 3n = 21 → n = 7.
Question 5: On a number line, the solution set of -2 ≤ x < 4 includes which values?
- -2 and all values up to but not including 4 (Correct answer)
- All values strictly between -2 and 4
- Only -2 and 4
- All values greater than 4
Correct answer: -2 and all values up to but not including 4
The symbol ≤ means -2 is included, and < means 4 is not included, so x ranges from -2 up to (but not including) 4.
Question 6: Which table of values correctly represents the equation y = x + 4?
- x: 1,2,3 → y: 5,6,7 (Correct answer)
- x: 1,2,3 → y: 4,8,12
- x: 1,2,3 → y: 3,2,1
- x: 1,2,3 → y: 5,7,9
Correct answer: x: 1,2,3 → y: 5,6,7
For y = x + 4: when x=1 y=5, x=2 y=6, x=3 y=7, which matches the first option.
Question 7: Solve for y: 3y/5 = 9
- 3
- 5
- 15 (Correct answer)
- 45
Correct answer: 15
Multiply both sides by 5: 3y = 45, then divide both sides by 3: y = 15.
BSEP Algebraic Concepts 5
Which expression represents 'five less than three times a number k'?