Download Pre-Algebra - Chapter 8 Test

Name ______________________________
Hour __________
Pre-Algebra
Chapter 8 Review
1. Define:
Domain:
Range:
2. Identify the domain and range of the relation. Then tell whether the relation is a function.
a. ( 3, 4), (6, 8), (12, 25), (15, 36)
b. (2, 1), (3, 5), (2, 5), (7, 9)
c.
x
y
–2
5
–1
–2
3
5
–5
–2
–8
–2
3. Determine whether the ordered pair is a solution of the equation.
a.
y = x + 16 (-1, -17)
b. 2x – 3y = 7 (8, -3)
4. In the linear equation y = mx + b, what does each variable represent?
5. Define slope using words and a formula.
6. What is the pattern for graphing a line with the given slopes?
a. 5
b.
2
3
c. -
4
7
d. -3
7. Determine the slope of the line through the given points.
a. (5, 5) and (2, 7)
b. (9, 14) and ( -7, -6)
c. ( 36, -5) and (6, 5)
8. Identify the slope and y-intercept of the following linear equations.
a. y = 3x – 4
b. 6x – 4y = 24
c. -4x + 2y = -12
9. Find the intercepts of the equation and then graph.
a. 3x + 5y = 15
b. -2x + 3y = 6
x
x
y
y
c. 11x -22y = 44
x
y
10. Graph the following linear equations.
a. 8x + 4y = 20
d. y =
3
x–3
4
1
x–1
3
c. 6y – 4x = 24
e. 5x – y = -3
f. 3x – 2y = -10
b. y = -
11. Give the equation of the lines graphed below.
a.
b.
12. Write and graph the equation of the line through the given points.
a. (2, -4), (0, -3)
b. (4, 9), ( -4, -7)
c. (-2, 10), (4, -2)
13. Write a linear function that satisfies the given conditions.
a. f(0) = 12 , f(3) = -2
b. f(-1) = 3, f(1) = 1
14. Let f(x) = 2x – 10. Find the indicated value.
a. f(x) when x = 12
b. f(x) when x = 0
c. f(4)
15. When graphing an inequality, describe how to determine
a. when to use a solid or dotted line
b. where to shade to show which area of the coordinate plane contains the solutions to the
inequality
16. Graph the inequality on the coordinate plane.
2
x-3
3
a. y > -2
b. x < 4
c. y <
d. 2x – 3y > 3
e. 4x + 2y < 6
f. x – y > 5
17. The table below shows an employee's hourly wage over 25 years with a company. Show that the table
represents a linear function by making a scatter plot on the grid. Then write an equation for the
function
Time (in years), x
Hourly wage (in dollars), y
0
9.5
5
12
10
14.5
15
17
20
19.5
25
22
18. Write an equation of the line with the given slope and y-intercept.
2
a. slope = -2, y-intercept = 8
b. slope = , y-intercept = 0
3
19. Describe the properties of:
a. Parallel Lines:
b. Perpendicular Lines:
20. Write an equation that is parallel to the line y = 2x – 6 that passes through ( 1, 5).
21. Write an equation that is perpendicular to the line y =
2
x – 24 that passes through (4, 2).
3
22. Write the inequality for the graph below.
a.
b.
23. Write an equation for the following situations:
a. Sammy has a gift card worth $250. She spends it at the rate of $25 a week for manicures>
b. Mr. Smith runs 5 miles a week. His plan is to increase his workouts by 2 miles a week.