SHSAT SHSAT Algebra 1 — Questions and Answers
Question 1: Solve for x: 3x + 7 = 22
- 3
- 5 (Correct answer)
- 7
- 4
Correct answer: 5
Subtract 7 from both sides to get 3x = 15, then divide by 3 to get x = 5.
Question 2: If 2(x − 3) = 10, what is x?
- 8 (Correct answer)
- 4
- 11
- 6
Correct answer: 8
Distribute to get 2x − 6 = 10, add 6 to both sides: 2x = 16, divide by 2: x = 8.
Question 3: Which expression represents 'five less than three times a number n'?
- 5 − 3n
- 3n − 5 (Correct answer)
- 3(n − 5)
- 5n − 3
Correct answer: 3n − 5
'Three times a number' is 3n, and 'five less than' means subtract 5, giving 3n − 5.
Question 4: If y = 4x − 1 and x = 3, what is y?
- 11 (Correct answer)
- 13
- 10
- 12
Correct answer: 11
Substitute x = 3: y = 4(3) − 1 = 12 − 1 = 11.
Question 5: What is the value of 5x² when x = 2?
- 20 (Correct answer)
- 100
- 40
- 10
Correct answer: 20
Calculate x² = 4 first, then multiply by 5: 5 × 4 = 20.
Question 6: Solve: 4x − 3 = 2x + 9
- x = 3
- x = 4
- x = 6 (Correct answer)
- x = 5
Correct answer: x = 6
Subtract 2x from both sides: 2x − 3 = 9, add 3: 2x = 12, divide by 2: x = 6.
Solve for x: 3x + 7 = 22