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Name: ________________________ Class: ___________________ Date: __________
MID-TERM TEST
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1
A
Identify the mapping diagram that represents the
relation and determine whether the relation is a
function.
ÏÔ
¸Ô
ÔÌÓ (−3, −6), (−1, −6), (5, −6), (8, −6) Ô˝˛
A
The relation is not a function.
B
B
The relation is a function.
C
The relation is a function.
D
The relation is not a function.
2
Which graph represents the following system of
equations?
y = 3x + 3
y = –2x – 3
1
ID: A
Name: ________________________
ID: A
C
3
4
5
D
Which equation is an identity?
A 5w + 6 − w = 6w − 2(w − 3)
B 9 − (5v + 7) = −5v − 2
C 5y + 3 = 5y − 3
D 6m − 6 = 7m + 9 − m
Which equation is an identity?
A 5m − 4 = 6m + 6 − m
B 4y + 5 = 4y − 8
C 3w + 6 − w = 4w − 2(w − 3)
D 12 − (6v + 8) = −6v − 4
Evaluate f (x ) = −x 2 + 1 for x = –3.
A –9
B –4
C –8
D 4
Write a function rule for the table.
6
x
2
3
4
5
A
B
C
D
2
f(x)
–8
–12
–16
–20
f(x)
f(x)
f(x)
f(x)
=
=
=
=
−4x
4x
x−4
x+4
Name: ________________________
ID: A
Short Answer
Write the slope-intercept form of the equation
for the line.
Find the slope of the line.
7
17
Find the slope of the line that passes through
the pair of points.
8
(2, 8), (7, –3)
9
(2, 6), (7, 0)
Find the x- and y-intercept of the line.
Find the slope and y-intercept of the line.
10
7
y= x+2
5
11
15x + 3y = 18
12
1
y = x – 10
4
13
10x + 6y = 78
14
16x + 2y = –110
18
2x + 3y = –18
19
3x -4y = –12
20
The grocery store sells kumquats for $4.00 a
pound and Asian pears for $2.75 a pound. Write
an equation in standard form for the weights of
kumquats k and Asian pears p that a customer
could buy with $12.
Write an equation in point-slope form for the
line through the given point with the given
slope.
Write an equation of a line with the given
slope and y-intercept.
21
(4, –6); m =
15
m = –5, b = 5
22
16
m = –4, b = –7
A line passes through (1, –5) and (–3, 7).
a. Write an equation for the line in point-slope
form.
b. Rewrite the equation in slope-intercept form.
3
3
5
Name: ________________________
ID: A
Are the graphs of the lines in the pair
parallel? Explain.
23
1
y= x+5
3
4x – 12y = –11
Write an equation for the line that is parallel
to the given line and that passes through the
given point.
24
y = –5x + 3; (–6, 3)
26
–x + 12y = 5; (0, 8)
27
Evaluate f (x ) = 3x + 2 for x = 3.
28
Write a function rule that gives the total cost c(p)
of p pounds of sugar if each pound costs $.51.
29
Find a solution to the following system of
equations.
−2x + 3y = −1
4x + 2y = 10
30
What is the solution of the system of equations?
y=x+1
y = 2x – 4
33
Mrs. Huang operates a soybean farm. She buys
many supplies in bulk. Often the bulk products
need to be custom mixed before Mrs. Huang can
use them. To apply herbicide to a large field she
must mix a solution of 67% herbicide with a
solution of 46% herbicide to form 42 liters of a
55% solution. How much of the 67% solution
must she use?
34
A motorboat can go 8 miles downstream on a
river in 20 minutes. It takes 30 minutes for the
boat to go upstream the same 8 miles. Find the
speed of the current.
Write the equation of a line that is
perpendicular to the given line and that passes
through the given point.
25
x + 9y = –7; (8, –3)
Solve the system of equations using substitution.
31
3x + 2y = 7
y = –3x + 11
32
A jar containing only nickels and dimes contains
a total of 60 coins. The value of all the coins in
the jar is $4.45. Solve by elimination to find the
number of nickels and dimes that are in the jar.
Graph the inequality.
35
y < 5x − 2
37
p<2
36
y ≥ 2x − 2
38
x ≤ −2
4
Name: ________________________
ID: A
Write the linear inequality shown in the graph.
39
40
Find a solution of the linear inequality.
y ≥ 4x − 5
Write the inequality in words.
41
3n < 52
Solve the inequality. Then graph your solution.
42
x − 4 ≤ −8
47
| 5x + 10 | < 20
43
w −5 ≤ 5
48
| d + 2| ≥ − 6
44
–6g < –12
49
| d − 10 | < − 11
45
–17 < 3x – 8 < 4
50
–2 < 3x – 5 < 7
46
| d + 2| ≥ 6
51
–5 < 2x – 9 < 19
57
4x – 8 = 3x – 4
Solve the inequality.
52
4(x – 12) > 8
Solve the equation.
53
2
x–5=3
9
54
12 = –d + 20
55
5(y + 6) = 70
56
3x – 4 = 2x – 8
5
Name: ________________________
58
67
a.
23 = −11 − 4x
68
b.
23 = −11 + (−4x)
What is the solution of the system of equations?
y = –2x + 2
y = –x – 10
c.
23 + 11 = −11 + (−4x) + 11
69
d.
23 + 11 = −11 + 11 + (−4x)
What is the solution of the system of equations?
y = 3x + 3
y = –5x – 5
−4x
70
Evaluate f (x ) = x + 3 for x = –2.
−4
71
Evaluate f (x ) = 2x + 7 for x = 2.
72
Find a solution to the following system of
equations.
−3x + 3y = −9
2x + 3y = 6
73
Find a solution to the following system of
equations.
−5x + 3y = 8
−x + y = 4
74
Find the range of f (x ) = −x + 4 for the domain
{–3, –2, –1, 1}.
34 = −4x
34
f.
g.
−4
=
−8.5 = x
A van travels 320 miles on 16 gallons of gas.
Write and solve a function to find how many
gallons the van needs to travel 480 miles.
Write an algebraic expression for the phrase.
60
the sum of h and 11
Define a variable and write an expression for
the phrase.
61
the quotient of 8 times a number and 9
62
What equation models the data in the table if d =
number of days and c = cost?
Days
2
3
5
6
63
(−9)(2)
(−2)
Which properties of equality justify steps c and
f?
e.
59
ID: A
Use the vertical line test to determine whether
the relation is a function.
75
Cost
8
12
20
24
Evaluate u + xy, for u = 11, x = 9, and y = 5.
Simplify the expression.
64
–8 + 7
65
|−5 − 16|
66
(−4) 4
6
ÔÏ
Ô¸
ÌÔ (−1, −2), (3, −1), (−5, 2), (−3, −5) ˝Ô
Ó
˛
ID: A
MID-TERM TEST
Answer Section
MULTIPLE CHOICE
1
B
2
D
3
A
4
C
5
C
6
A
SHORT ANSWER
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
−1
11
−
5
6
−
5
7
;2
5
−5; 6
1
; –10
4
5
− ; 13
3
−8; −55
y = –5x + 5
y = –4x – 7
y=x−1
x-intercept is –9; y-intercept is –6.
x-intercept is –4; y-intercept is 3.
4k + 2.75p = 12
3
y + 6 = (x − 4)
5
y + 5 = –3(x – 1); y = –3x – 2
Yes, since the slopes are the same and the y-intercepts are different.
y = –5x – 27
y = 9x – 75
y = −12x + 8
11
1
ID: A
28
29
30
31
32
33
34
c(p ) = 0.51p
(2, 1)
(5, 6)
(5, –4)
31 nickels and 29 dimes
18 L
4 mph
35
36
37
38
39
40
41
y ≤ −5x + 2
(1, 1)
Three times n is less than fifty-two.
2
ID: A
42
x ≤ −4
43
w ≤ 10
44
g>2
45
–3 < x < 4
46
d ≤ − 8 or d ≥ 4
47
–6 < x < 2
48
all real numbers
49
no solution
50
1<x<4
51
2 < x < 14
52
x > 14
53
36
8
8
–4
4
Addition Property of Equality; Division Property of Equality
24 gallons of gas
h + 11
8x
9
c = 4d
56
–1
54
55
56
57
58
59
60
61
62
63
64
3
ID: A
65
21
66
256
67
9
68
(12, –22)
69
(–1, 0)
70
1
71
11
72
(3, 0)
73
(2, 6)
74
{7, 6, 5, 3}
75
The relation is a function.
4