Worked example
For y = 2x − 3, find y when x = −2.
Answer & why
Answer: −7
2 × (−2) − 3 = −4 − 3 = −7.
Grade 8 · Math
Evaluate a linear function
Find an output from a linear rule and a signed input.
8 generated examples + worked example
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8 reproducible examples from this math generator. Choose New examples for another set.
Question 1
For y = 4x + (3), what is y when x = -3?
- -9
- -11
- -10
- -6
A hint
Replace x, then apply the order of operations.
Answer & why
Answer: -9
Substitute x = -3: y = 4 × (-3) + (3) = -9.
Question 2
For y = 5x + (-6), what is y when x = -4?
- -27
- -26
- -24
- -22
A hint
Replace x, then apply the order of operations.
Answer & why
Answer: -26
Substitute x = -4: y = 5 × (-4) + (-6) = -26.
Question 3
For y = -1x + (-10), what is y when x = -3?
- -9
- -4
- -3
- -7
A hint
Replace x, then apply the order of operations.
Answer & why
Answer: -7
Substitute x = -3: y = -1 × (-3) + (-10) = -7.
Question 4
For y = 6x + (-9), what is y when x = 4?
- 16
- 15
- 17
- 18
A hint
Replace x, then apply the order of operations.
Answer & why
Answer: 15
Substitute x = 4: y = 6 × (4) + (-9) = 15.
Question 5
For y = -8x + (3), what is y when x = 1?
- -2
- -5
- -1
- -3
A hint
Replace x, then apply the order of operations.
Answer & why
Answer: -5
Substitute x = 1: y = -8 × (1) + (3) = -5.
Question 6
For y = -7x + (-2), what is y when x = -1?
- 6
- 9
- 5
- 7
A hint
Replace x, then apply the order of operations.
Answer & why
Answer: 5
Substitute x = -1: y = -7 × (-1) + (-2) = 5.
Question 7
For y = 2x + (-8), what is y when x = -3?
- -14
- -16
- -10
- -15
A hint
Replace x, then apply the order of operations.
Answer & why
Answer: -14
Substitute x = -3: y = 2 × (-3) + (-8) = -14.
Question 8
For y = 8x + (-10), what is y when x = 1?
- -2
- -1
- -3
- 0
A hint
Replace x, then apply the order of operations.
Answer & why
Answer: -2
Substitute x = 1: y = 8 × (1) + (-10) = -2.