Download ExamView - MIDTERM REVIEW-.tst

Name: ________________________ Class: ___________________ Date: __________
ID: A
MID-TERM TEST
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Find the slope of the line.
Find the slope and y-intercept of the line.
1
3
A
B
C
D
4
2
−1
−1
0
Find the slope of the line that passes through
the pair of points.
2
7
y= x+2
5
5
A
; –2
7
7
B 2;
5
7
C –2;
5
7
D
;2
5
15x + 3y = 18
1
A − ;6
5
B −5; 6
1
C −5;
6
D 5; −6
Write an equation of a line with the given
slope and y-intercept.
(2, 8), (7, –3)
11
A −
5
11
B
5
5
C
11
5
D −
11
5
1
m = –5, b = 5
A y = 5x + 5
B y = –5x – 5
C y = 5x – 5
D y = –5x + 5
Name: ________________________
ID: A
Write an equation in point-slope form for the
line through the given point with the given
slope.
Write the slope-intercept form of the equation
for the line.
6
9
10
A
B
C
D
y = −x − 1
y=x−1
y = 2x + 1
y = 2x − 1
Find the x- and y-intercept of the line.
7
8
2x + 3y = –18
A x-intercept is 18; y-intercept is 18.
B x-intercept is –6; y-intercept is –9.
C x-intercept is 2; y-intercept is 3.
D x-intercept is –9; y-intercept is –6.
(4, –6); m =
A
y+6=
B
y−6=
C
y+6=
D
y−4=
3
5
3
x−4
5
3
(x + 4)
5
3
(x − 4)
5
3
(x + 6)
5
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.
A y – 5 = 3(x + 1); y = 3x + 8
1
1
8
B y − 1 = (x + 5); y = x + ;
3
3
3
1
1
16
C y − 5 = (x + 1); y = x +
3
3
3
D y + 5 = –3(x – 1); y = –3x – 2
Are the graphs of the lines in the pair
parallel? Explain.
11
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.
A 4 + 2.75 = k
B 4k + 2.75p = 12
C 4k = 2.75p + 12
D 4p + 2.75k = 12
2
1
y= x+5
3
4x – 12y = –11
A Yes, since the slopes are the same and the
y-intercepts are the same.
B Yes, since the slopes are the same and the
y-intercepts are different.
C No, since the slopes are different.
D No, since the y-intercepts are different.
Name: ________________________
ID: A
Write an equation for the line that is parallel
to the given line and that passes through the
given point.
12
14
y = –5x + 3; (–6, 3)
A y = –5x + 27
B y = –5x – 27
C y = 5x – 9
D y = –5x + 9
The relation is not a function.
Write the equation of a line that is
perpendicular to the given line and that passes
through the given point.
13
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
B
x + 9y = –7; (8, –3)
A y = 9x – 75
B y = −9x – 75
1
C y = x + 35
9
1
D y = x – 75
9
The relation is a function.
C
The relation is a function.
D
The relation is not a function.
3
15
Evaluate f (x ) = 3x + 2 for x = 3.
A –11
B –7
C 11
D 9
16
Write a function rule that gives the total cost c(p)
of p pounds of sugar if each pound costs $.51.
A c(p) = p + 0.51
B c(p) = 0.51p
C c(p) = 51p
p
D c(p) =
0.51
Name: ________________________
17
Find a solution to the following system of
equations.
−2x + 3y = −1
4x + 2y = 10
A (0, 5)
B (2, 1)
C (–3, –2)
D (4, –2)
18
Which graph represents the following system of
equations?
y = 3x + 3
y = –2x – 3
A
ID: A
C
D
B
19
4
What is the solution of the system of equations?
y=x+1
y = 2x – 4
A (1.67, 2.67)
B (3, 2)
C (6, 5)
D (5, 6)
Name: ________________________
ID: A
Solve the system of equations using substitution.
20
3x + 2y = 7
y = –3x + 11
A (6, –3)
B (6, –7)
ÊÁ
19 ˆ˜
C ÁÁÁÁ −4, ˜˜˜˜
2 ¯
Ë
D
21
22
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?
A 23 L
B 18 L
C 34 L
D 35 L
23
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.
A 20 mph
B 16 mph
C 24 mph
D 4 mph
(5, –4)
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.
A 30 nickels and 30 dimes
B 31 nickels and 29 dimes
C 29 nickels and 31 dimes
D 28 nickels and 32 dimes
Graph the inequality.
24
B
y < 5x − 2
A
5
Name: ________________________
ID: A
C
B
D
C
25
y ≥ 2x − 2
A
D
6
Name: ________________________
26
ID: A
A
x ≤ −2
A
B
B
C
C
p<2
27
D
D
Write the linear inequality shown in the graph.
28
29
A
B
C
D
y
y
y
y
≥
≤
≥
≤
−5x
−5x
−5x
−5x
−
−
+
+
2
2
2
2
Write the inequality in words.
30
3n < 52
A fifty-two less than three times n
B Three times n is less than fifty-two.
C Three times n is less than or equal to fifty-two.
D Three times n is greater than fifty-two.
7
Find a solution of the linear inequality.
y ≥ 4x − 5
A (3, 4)
B (2, 1)
C (3, 0)
D (1, 1)
Name: ________________________
ID: A
Solve the inequality. Then graph your solution.
31
x − 4 ≤ −8
A x ≤ −4
B
32
33
34
–17 < 3x – 8 < 4
1
1
A −8 < x < −1
3
3
x ≤ − 12
−8
4
C
x≤
D
x ≤ 12
w −5≤ 5
A w ≤ − 25
B
w ≤ − 10
C
w≤0
D
w ≤ 10
35
36
–6g < –12
A g<2
B
–12 < x < 9
C
–28 < x < –7
D
–3 < x < 4
| d + 2| ≥ 6
A d ≤ − 4 or d ≥ 4
B
d ≥ − 8 or d ≥ 4
C
d ≤ − 8 or d ≥ 4
D
d ≤ − 8 or d ≥ 4
| 5x + 10 | < 20
A –35 < x < 5
B
g > –6
B
–6 < x < 2
C
g>2
C
–2 < x < 2
D
g < –6
D
–6 > x > 2
8
Name: ________________________
ID: A
Solve the inequality.
37
4(x – 12) > 8
A x > 14
B x > 20
C x>2
D x < 20
42
Solve the equation.
38
39
40
41
2
x–5=3
9
A −36
1
B 37
2
7
C 1
9
D 36
12 = –d + 20
A –10
B 12
C 8
D –8
Which properties of equality justify steps c and
f?
a.
23 = −11 − 4x
b.
23 = −11 + (−4x)
c.
23 + 11 = −11 + (−4x) + 11
d.
23 + 11 = −11 + 11 + (−4x)
e.
f.
g.
A
B
C
D
5(y + 6) = 70
A 8
B –20
C 20
D 9
43
3x – 4 = 2x – 8
A –1
B –5
C –2
D –4
44
9
34 = −4x
34
−4
=
−4x
−4
−8.5 = x
Subtraction Property of Equality;
Multiplication Property of Equality
Addition Property of Equality; Division
Property of Equality
Addition Property of Equality; Subtraction
Property of Equality
Multiplication Property of Equality; Division
Property of Equality
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
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.
A 24 gallons of gas
B 30 gallons of gas
C 92 gallons of gas
D 96 gallons of gas
Name: ________________________
ID: A
Write an algebraic expression for the phrase.
45
the sum of h and 11
A 11h
B h – 11
h
C
11
D h + 11
50
|−5 − 16|
A 20
B –21
C –20
D 21
51
(−4) 4
A –16
B –256
C –64
D 256
(−9)(2)
(−2)
A –18
B –9
C 18
D 9
Define a variable and write an expression for
the phrase.
52
46
47
the quotient of 8 times a number and 9
9x
A
8
8x
B
9
x
C
72
D 72x
What equation models the data in the table if d =
number of days and c = cost?
Days
2
3
5
6
A
B
C
D
48
Cost
8
12
20
24
c=d+4
c = 4d
d = 4c
c = d + 4d
Evaluate u + xy, for u = 11, x = 9, and y = 5.
A 25
B 56
C 104
D 100
Simplify the expression.
49
–8 + 7
A 15
B –15
C –1
D 1
10
ID: A
MID-TERM TEST
Answer Section
MULTIPLE CHOICE
1
B
2
A
3
D
4
B
5
D
6
B
7
D
8
B
9
C
10
D
11
B
12
B
13
A
14
B
15
C
16
B
17
B
18
D
19
D
20
D
21
B
22
B
23
D
24
C
25
B
26
A
27
A
28
D
29
D
30
B
31
A
32
D
33
C
34
D
1
ID: A
35
D
36
B
37
A
38
D
39
C
40
A
41
D
42
B
43
A
44
A
45
D
46
B
47
B
48
B
49
C
50
D
51
D
52
D
2