EQAO Grade 9 Mathematics Assessment 2 — Questions and Answers
Question 1: A linear relation is given by y = 3x − 4. What is the y-intercept?
- 3
- −4 (Correct answer)
- 4
- −3
Correct answer: −4
The y-intercept is the constant term in slope-intercept form y = mx + b, which is −4.
Question 2: Which expression is equivalent to 2(3x − 5) + 4x?
- 10x − 10 (Correct answer)
- 10x − 5
- 6x − 10
- 6x − 5
Correct answer: 10x − 10
Expanding gives 6x − 10 + 4x = 10x − 10.
Question 3: A rectangle has a length of (2x + 3) cm and a width of 4 cm. Which expression represents its perimeter?
- 8x + 12
- 2x + 7
- 8x + 6
- 4x + 14 (Correct answer)
Correct answer: 4x + 14
Perimeter = 2(length + width) = 2(2x + 3 + 4) = 2(2x + 7) = 4x + 14.
Question 4: On a number line, which value is between −3/4 and 1/2?
- −1
- 3/4
- 0 (Correct answer)
- −4/5
Correct answer: 0
0 lies between −0.75 and 0.5, while the other values fall outside this range.
Question 5: A store sells notebooks for $2.50 each. If a student buys n notebooks, which equation represents the total cost C?
- C = n + 2.50
- C = 2.50n (Correct answer)
- C = 2.50 + n
- C = n ÷ 2.50
Correct answer: C = 2.50n
Total cost equals the unit price multiplied by the number of items: C = 2.50n.
Question 6: What is the value of 3² + 4²?
- 49
- 14
- 25 (Correct answer)
- 7
Correct answer: 25
3² = 9 and 4² = 16, so 9 + 16 = 25.
Question 7: The table shows a linear relation: x = 1 → y = 5, x = 2 → y = 8, x = 3 → y = 11. What is the rate of change?
- 5
- 2
- 3 (Correct answer)
- 8
Correct answer: 3
The y-value increases by 3 for each unit increase in x, so the rate of change is 3.
EQAO Grade 9 Mathematics Assessment 2
A linear relation is given by y = 3x − 4.
What is the y-intercept?