Download Semester Review

Semester Review
I. Writing expressions
Write an algebraic expression for each verbal expression.
1.
three times the sum of a number and 4
2.
twice x increased by the cube of z
3.
half a number decreased by 3
4.
14 less than a number
II. Evaluating Expressions
5.
Evaluate 2x3 + y2 if x = 3 and y = 2.
6.
Evaluate 5x – 6 + x2y if x = -1 and y = 2?
III. Properties
Match each example on the left with the property it illustrates on the right.
7.
8(v + 6w) = 8v + 48w
A.
Additive Identity Property
8.
9 + (1 + 5) = 9 + 6
B.
Multiplicative Identity Property
9.
38(0) = 0
C.
Multiplicative Property of Zero
10.
aw = 1aw
D.
Additive Inverse Property
11.
If x + 1 = 9, then 9 = x + 1.
E.
Multiplicative Inverse Property
12.
Reflexive
14.
If 3 + 9 = 12 and 12 = 6 + 6, F.
then 3 + 9 = 6 + 6.
G.
3(x + y) = 3(x + y)
H.
(a + b) + (-a + -b) = 0
15.
a+0=a
J.
Distributive
16.
2
3

=1
3
2
I.
Substitution
13.
Symmetric
Transitive
IV. Equations
17.
p
+ 2 =8
6
18.
t - 8
= 9
3
19.
6(x – 2) + 4x = 20
20.
3
1
x - 1 = x + 2
4
4
22.
Solve d = rt for t.
23.
Solve
x + 3
= z for x.
y
23. The volume of a rectangular solid is 240 cubic inches. The dimensions of the base are 12
Not drawn to scale.
inches by 4 inches. What is the height of the solid?
4
12
A consulting engineer bills his customers $80 for each hour he works. If a client’s bill is $1,310,
write an equation that could be used to find the number of hours worked.
V. Inequalities
Solve each inequality and graph the solution set.
25.
n + 5 ≥ 16
26.
-4n - 8 < 12
VI. Relations
Express each relation as a set of ordered pairs. Then state the domain, range, and inverse.
27.
x
y
1
3
2
7
3
-3
5
-2
3
28.
1
3
2
5
7
9
O.P.’s
O.P.’s
D:
D:
R:
R:
Inverse:
Inverse:
VII. Functions
Determine whether or not each relation is a function.
29. {(5, 3), (2, -1), (-1, 3)}
30.
31.
32.
{(2, 1), (2, -4), (-3, 0)}
x
x
y
y
Use the given functions to find the specified values.
g(x) = x2 – 3x + 1
f(x) = 3x + 1
33.
a) f(2)
b) g(-2)
34.
Given f(x) above, find the range if the domain is {-2, 0, 3, 6}
VIII. Slope
Find the slope of each line.
35. passing through the points (-3, -4), (5, -1).
36.
37.
38.
x
x
x
y
m=
y
m=
y
m=
39. given the equation 2x + 3y = 6?
IX. Intercepts.
Find the x and y intercepts of the graph of each equation. Write each as an ordered pair.
40.
4x + 7y = 8
41.
x
y
X. Writing Equations
Write the equation of each line in slope-intercept form.
41. slope= 2 and y-intercept = –7.
2
42. passes through the point (-3, 2) and has a slope of 3 .

43. passes through (-1, -7), (1, 3).
44.
x
y
XI. Graphing.
Graph each equation on the coordinate plane provided.
45. y = -3x + 2
46.
3x + 2y = 12
x
x
y
y
47. y = -3
48. x = 2
x
y
x
y