Prerequisite Review
Name:__________________
Solve the equation. Check you solution.
1. 6y + 8 = 3y – 16
2.
1
2 1
3
z+ = z4
3 2
4
3. Your sister is selling Girl Scout cookies that cost $2.80 per box. Your family bought 6 boxes. How
many more boxes of cookies must your sister sell in order to collect $154?
Solve the inequality. Then graph your solution.
4.
4x - 3 £17
6. -8 < 3x + 4 < 22
5. 2y – 9 > 5y + 12
7.
3x - 5 £ -11 or 2x - 3 > 3
9.
15- 3x =12
Solve the equation.
8.
x+5 = 4
Solve the inequality. Then graph your solution.
10.
y+2 ³3
11.
2y - 5 £ 3
Then tell whether the relation is a function and state the domain and range.
12.
X
Y
-4
-1
-2
0
0
1
2
2
4
3
13.
X
2
-3
4
-3
0
Y
2
-2
0
2
3
Graph the equation.
14.
2
y =- x+2
3
15. y = -3
16. 5x – 2y = 10
Write an equation of the line with the given characteristics.
17. slope: ¾, y-intercept: -5
18. Slope: -1, point: (2, -4)
19. points (-2, 5), (-6, 8)
20. Points (3, 4), (5, 10)
21. Write an equation of the line that passes through (-3, 2) and is parallel to the line x – y = 7.
22. Write the equation of the line that passes through (1, 4) and is perpendicular to the line y = -3x +
1.
Graph the inequalities in a coordinate plane.
23.
x + 4y £ 0
24.
y > 3x -1
25.
x-y>3
26. One of the world’s faster roller coasters is located in a theme park in Valencia, California. Riders
go from 0 to 100 miles per hour in 7 seconds. Find the acceleration of the roller coaster during this
time interval in miles per second squared.
27. To be able to see your complete reflection in a mirror that is hanging on a wall, the mirror must
have a minimum length of m inches. The value of m varies directly with your height h (in inches). A
person 71 inches tall requires a 35.5 inch mirror. Write a linear model that gives m as a function of h.
Then find the minimum mirror length required for a person who is 66 inches tall.
28. You are buying beads and string to make a necklace. The string costs $1.50, a package of 10
decorative beads costs $0.50, and a package of 25 plain beads costs $0.75. You can spend only $7.00
and you need 150 beads. How many packages of each type of bead should you buy?
Solve by graphing.
29. x + y =1
2x – 3y = 12
30. y = 2x + 2
y = 2x – 3
Solve using algebra.
31. 3x + 6y = -9
x + 2y = -3
32. x – y = -5
x + y = 11
Graph the system of linear inequalities.
33. 2𝑥 + 𝑦 ≥ 1
𝑥≤3
34. 𝑥 + 𝑦 < 7
2𝑥 − 𝑦 ≥ 5