### 4. y = -4x - 8 5. y = 3x2 + 5 6. 2y + 7 = 14 x y 2 10 4 9 5

```Name: _____________________
Math 8 PRACTICE Test: Understanding Linear Functions and Slope
1. Complete the table and graph. State whether the function is linear or nonlinear.
y = 2x - 5
x
-2
-1
0
1
2
2x - 5
y
(x, y)
Is the relationship linear or nonlinear? _______________
Determine if these graphs represent linear relationships.
2.
3.
Determine whether these equations represent a LINEAR relationship. EXPLAIN your
4. y = -4x - 8
5. y = 3x2 + 5
6. 2y +
7
𝑥
= 14
7.
Explanation:
x
2
4
5
6
y
10
9
8
7
Math 8: Understanding Linear Functions and Slope
8.
x
1
3
4
5
Explanation:
y
4
12
16
20
9.
x
-5
-4
-3
-2
Explanation:
y
2
4
6
8
10 – 15. Find the slope from the graphs. Make sure your answers are in simplest
form.
Math 8: Understanding Linear Functions and Slope
Find the slope using the slope formula (SHOW YOUR WORK using the slope
16. (2, 5), (3, 6)
17. (6, 1), (-6, 1)
18. (4, 6), (4, 8)
19. (5, 2), (5, -2)
20. (2, 5), (-3, -5)
21. (9, 8), (7, -8)
22. Carla has already written 10 pages of a novel. She plans to write 15 additional pages
per month until she is finished.
Write an equation to find the total number of pages P
written after any number of months m.
Graph the equation on the grid to the right.
What is the slope of this graph? ______
What is the y-intercept of this graph? _______
In a complete sentence, explain what the slope means in the context of the problem.
In a complete sentence, explain what the y-intercept means in the context of the problem.
Math 8: Understanding Linear Functions and Slope
23. A tractor has a gas tank that holds 14 gallons of gas. It uses gas at a rate of about
2.5 gallons each hour. You start plowing with a full tank of gas.
Complete the table.
Hours (x)
Gallons of Gas Left (y)
0
1
2
3
4
Write an equation that shows how much gas (y) will be in the tank after each hour (x) of
use.
In a complete sentence, explain what the slope means in the context of the problem.
In a complete sentence, explain what the y-intercept means in the context of the problem.
Write a linear equation in slope-intercept form to model each situation. Then, EXPLAIN
the meaning of the slope and y-intercept in the context of the problem.
24. A computer technician charges \$75 for a consultation plus \$35 per hour.
25. The population of Pine Bluff is 6791 and is decreasing at the rate of 7 per year.
26. A video store charges \$10 for a rental card plus \$2 per rental.
27. A Norfolk pine is 18 inches tall and grows at a rate of 1.5 feet per year.
29. An airplane at an altitude of 3000 feet descends at a rate of 500 feet per mile.
30. Graph the equation described and then explain the meaning
of the slope and y-intercept in the context of the problem.
The number of delivered toys T is three times the
total number of crates c.
```