1. 7 1
− , , 3
1. Use a real number line to order the numbers 2 2
1
F I=1
GJ
HK
14
14
2. State the property that is illustrated.
2
3. Evaluate − 4rs + ( − rs) − 2r when r = 2 and s = –5.
3
3
4. Evaluate 2a + (2a ) when a = –3.
5. Solve
0=
8
y − 64
15
6. Solve the equation. 5(3 − 4 x ) = 7 − (4 − x )
2
7. Solve for q p q − 3q = 14
5
( F − 32)
8. Solve for F C = 9
9. A rectangle is 5 feet longer than it is wide. The perimeter of the rectangle is 34 feet. What is
the length of the rectangle?
10. Solve 5x − 10 < 15
11. Is
x=−
5
2 a solution of the inequality 5x − 4 ≤ 3( x − 7) ?
12. Solve –6 ≤ 3x − 15 ≤ 12
13. Solve the inequality. Then graph your solution. 2 x − 3 ≤ 5
14. Solve x − 4 ≥ 3
15. Is the relation
4
b ,– ,– r
m, – 2gb5, – 2gb6, – 2ga function?

2. 16. Find
F 1I.
G3J f ( x) = 18x
HK
f −
2
− 12 x − 3
17. Line 1 contains (2, –4) and (0, 2). Line 2 contains (–4, 5) and (–1, 6). Are the lines parallel,
perpendicular, or neither?
18. Graph the linear equation by finding x- and y-intercepts.
2x − 4 y = – 8
19. Graph the line.
y=
3
x−2
4
20. Write the equation of the line, in slope-intercept form, that passes through the point
( − 2, − 2) and has slope − 3 .
21. Write the equation in slope-intercept form. Then identify the slope and y-intercept.
18 x − 42 y = 24
22. For the following data
A. Make a scatter plot of the data.
B. Approximate the best fitting line for the data.
C. Find an equation of your line of best fit.
x 1
2
3 4 5
6
7
8
y 175 4.1 4.95 7 815 111 1195 14
.
.
.
.

3. y
x
23. Graph 3x − 4 y > − 12
24. Is the ordered pair (2, –1) a solution for the inequality 5x − 3 y ≤ 10 ?
2
4
y>−
3
25. Graph the inequality in a coordinate plane. 3
26. Graph the inequality in a coordinate plane.
y≤
2
x−2
3

4. 27. Graph the function. f ( x ) = x + 3
28. Graph the equation. y = x + 2 − 2
f ( x) =
29. Graph the function
y
10
10 x
−10
[A]
−10
Rx + 2, x ≥ 0
S3x − 1, x < 0
−
T

5. y
10
10 x
−10
−10
[B]
y
10
10 x
−10
−10
[C]
y
10
10 x
−10
[D]
−10
x+ y= –4
30. Graph the linear system and estimate the solution 3x − y = 8
31. The drama club sold 1500 tickets for the end-of-year performance. Admission prices were
$12 for adults and $6 for students. The total amount collected at the box office was $16,200.
How many students attended the play?
32. Solve the system.
3x + 4y = –3
2x + y = 8
33. Ace Rent a Car charges a flat fee of $15 and $0.20 a mile for their cars. Acme Rent a Car
charges a flat fee of $28 and $0.12 a mile for their cars. Use the following model to find out after
how many miles Ace Rent a Car becomes more expensive than Acme Rent a Car.
c = 15 + 0.2m Ace
c = 28 + 012m Acme
.

6. 34. Graph the system of inequalities y ≥ 2 x − 3
y ≤ − x−3
35. Graph the system of inequalities
y ≥ –7
y < –4
36. Solve the system of equations
x + y + z = 5
− 2 x − y + z = – 15
x − 2y − z = 6
2
37. Does the parabola open up or down? y = 4 + 6 x − 2 x
2
38. Graph y = x + 4
2
39. Sketch the graph of the equation. y = x − 2 x + 3
Factor the expression
2
40. x + 6 x + 9
2
41. 8 x − 25 + 10 x
42. The height of a triangle is three feet longer than the base. The area of the triangle is 35 square
feet. Find the height and base of the triangle.
2
43. Find the zeros of the equation. x + 2 x − 15 = y
2
44. Solve for x 5 x = 405
2
2
45. Solve the equation. x −7 = 14 − 2 x

7. 2
46. The height, h (in feet), of a falling object on Mars is given by h = −6t + s , where t is the
time in seconds and s is the initial height in feet. If an object were dropped from a height of 237
feet, how long would it take to travel half the distance to the ground? (Round to two decimal
places.)
2
47. Solve the equation. 2 x + x + 3 = 0
Write the expression as a complex number in standard form.
48. (2i )(1 − 4i )(1 + i )
49. (5 − 2i ) − 2(3 + i )
2
50. Solve the equation by completing the square. x + 2 x − 24 = 0

8. Reference [1.1.1.5]
7
––
2
1
–
2
– 4 –3 –2 –1 0 1 2 3 4
[1]
Reference [1.1.2.17]
[2] Inverse property of multiplication
Reference [1.2.1.22]
[3] 42
Reference [1.2.1.35]
[4] –270
Reference [1.3.1.41]
[5] 120
Reference [1.3.1.43]
4
x=
7
[6]
Reference [1.4.1.59]
14
q= 2
p −3
[7]
Reference [1.4.2.62]
9
C + 32
[8] F = 5

9. Reference [1.5.2.75]
[9] 11 feet
Reference [1.6.1.78]
[10] x < 5
Reference [1.6.1.84]
[11] No
Reference [1.6.2.87]
[12] 3 ≤ x ≤ 9
Reference [1.7.1.95]
[13] − 1 ≤ x ≤ 4
– – 0 1 2 34 5 6 x
21
Reference [1.7.1.92]
[14] x ≤ 1 or x ≥ 7
Reference [2.1.1.3]
[15] Yes
Reference [2.1.2.10]
[16] 3

10. Reference [2.2.1.27]
[17] Perpendicular
Reference [2.3.1.30]
10
y
–10
10
x
–10
[18]
Reference [2.3.1.38]
1
–3 –2 –1
1
3
–4
–5
[19]
Reference [2.4.1.46]
[20] y = − 3x − 8
Reference [2.4.1.50]
3
4
3
4
y= x−
−
7
7 ; Slope 7 ; y-intercept (0, 7 )
[21]

11. Reference [2.5.2.72]
y
x
[22]
.
y = 175x
Reference [2.6.1.76]
y
10
–10
10
–10
[23]
Reference [2.6.1.79]
[24] No
Reference [2.6.1.85]
y
3
2
1
–3 –2 –1
[25]
–3
1 2 3
x
x

12. Reference [2.6.1.84]
1
–3 –2 –1
1
x
3
–3
–4
–5
[26]
Reference [2.8.1.109]
f(x)
5
4
1
–6 –5 –4 –3 –2
x
–1
[27]
Reference [2.8.1.120]
y
3
2
1
–5
1 x
–2
–2
–3
[28]
Reference [2.7.1.90]
[29] [B]
Reference [3.1.1.1]

13. 10
y
10
[30]
1, – 5
b g
x
10
–10
x
–10
Reference [3.1.2.18]
[31] 300
Reference [3.2.1.28]
[32] (7, –6)
Reference [3.2.2.33]
[33] after 163 miles
Reference [3.3.1.43]
10
–10
[34]
–10
y

14. Reference [3.3.1.47]
y
10
10
x
10
–10
x
–10
[35]
Reference [3.6.1.77]
[36] (6, 1, –2)
Reference [5.1.1.5]
[37] Down
Reference [5.1.1.1]
y
10
–10
[38]
–10
Reference [5.1.1.11]

15. y
3
2
(1, 2)
1
–2
1
2
3
4
x
[39]
Reference [5.2.1.26]
2
[40] ( x + 3)
Reference [5.2.1.27]
[41] (2 x + 5)(4 x − 5)
Reference [5.2.1.35]
[42] Height 10 ft; Base 7 ft
Reference [5.2.2.39]
[43] –5, 3
Reference [5.3.1.44]
[44] 9
Reference [5.3.1.49]
[45] ± 7
Reference [5.3.2.56]
[46] 4.44 seconds

16. Reference [5.4.1.63]
1 i 23
− ±
4
[47] 4
Reference [5.4.1.80]
[48] 6 + 10i
Reference [5.4.1.75]
[49] − 1 − 4i
Reference [5.5.1.102]
[50] –6, 4