SHSAT SHSAT Algebra 2 — Questions and Answers
Question 1: If a + b = 12 and a − b = 4, what is the value of a?
- 4
- 8 (Correct answer)
- 6
- 10
Correct answer: 8
Add the two equations: 2a = 16, so a = 8.
Question 2: Which inequality represents 'x is at least 7'?
- x < 7
- x > 7
- x ≥ 7 (Correct answer)
- x ≤ 7
Correct answer: x ≥ 7
'At least 7' means x can equal 7 or be greater, which is expressed as x ≥ 7.
Question 3: A number is multiplied by 6, then 4 is added. The result is 34. What is the number?
- 4
- 5 (Correct answer)
- 6
- 3
Correct answer: 5
Set up 6n + 4 = 34, subtract 4: 6n = 30, divide by 6: n = 5.
Question 4: What is the slope of the line y = 3x − 2?
- −2
- 2
- 3 (Correct answer)
- −3
Correct answer: 3
In slope-intercept form y = mx + b, the coefficient of x is the slope, so slope = 3.
Question 5: If f(x) = 2x + 5, what is f(4)?
- 13 (Correct answer)
- 14
- 11
- 9
Correct answer: 13
Substitute x = 4: f(4) = 2(4) + 5 = 8 + 5 = 13.
Question 6: Which value of x satisfies x/3 + 2 = 5?
- 6
- 9 (Correct answer)
- 3
- 12
Correct answer: 9
Subtract 2 from both sides: x/3 = 3, multiply both sides by 3: x = 9.
SHSAT SHSAT Algebra 2
If a + b = 12 and a − b = 4, what is the value of a?