Download Intermediate Algebra ch1 practice test SHORT

Intermediate Algebra
ch1 practice test
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Sketch the graph of the equation.
1) 6x - 4y = 24
1)
2) 2(x - 5) = -3(y - 2) + 2.
2)
3) x = -2
3)
1
4) y = 2
4)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the equation.
5) -5(y + 8) - (-6y + 2) = 9
A) - 33
6)
B) - 51
C) 51
5)
D) - 3
11
4 5
x+ = x
6
3 3
A) 8
6)
B) 18
C) -8
D) -18
Solve the equation for the indicated variable.
1
7) A = bh, for h
2
A) h =
2A
b
8) P = 2L + 2W, for W
P - 2L
A) W =
2
B) h =
7)
Ab
2
C) h =
B) W = P - L
b
2A
C) W = P - 2L
D) h =
A
2b
P-L
D) W =
2
8)
Using the indicated slopes of lines L1 and L2 , determine whether the lines are parallel, perpendicular, or neither. Assume
that the lines are not the same.
9) m 1 = - 2, m 2 = - 2
A) parallel
9)
B) perpendicular
C) neither
1
10) m 1 = , m 2 = - 3
3
A) parallel
10)
B) perpendicular
C) neither
1
11) m 1 = 2, m 2 =
2
A) parallel
11)
B) perpendicular
2
C) neither
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Determine the slope and the y-intercept for the linear equation. Use the slope and the y-intercept to sketch the graph of
the equation.
1
12) y = x - 1
12)
2
13) -x + 4y = 24
13)
14) y = -5
14)
3
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Determine whether there is a line that passes through every point in the given table. If so, find the slope of that line.
15)
15)
x
y
8
19
5
13
0
3
-6 -9
A) A line with slope m = -2 goes through all the points.
B) A line with slope m = 2 goes through all the points.
1
C) A line with slope m = goes through all the points.
2
D) A line does not go through all the points
16)
x
-9
-2
3
5
y
-5
-4
5
3
A) A line with slope m =
16)
1
goes through all the points.
3
B) A line with slope m = 3 goes through all the points.
C) A line with slope m = -2 goes through all the points.
D) A line does not go through all the points.
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Some values of a linear equation are given in the table, complete the table.
17)
x
y
-2
0
1
2
3
4
6
5
17)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Determine whether the pair of lines is parallel, perpendicular, or neither.
7
7
18) y = x - 7 and y = x - 5
5
5
A) parallel
18)
B) perpendicular
C) neither
19) 7x - 4y = 9 and 4x + 7y = 9
A) parallel
B) perpendicular
C) neither
20) 8x - 7y = 1 and 8x + 7y = 1
A) parallel
B) perpendicular
C) neither
4
19)
20)
Find an equation of the line with the given slope and containing the given point. Express your answer in slope-intercept
form.
21) m = 6, (0, 0)
21)
1
A) y = 6x
B) y = x
C) y = 6
D) x = 6
6
22) m = 3, (-7, 3)
A) y - 3 = mx + 7
B) y - 3 = x + 7
C) y = 3x + 24
D) y = 3x - 24
23) m = 0, (7, 5)
A) y = 7
B) y = 5
C) x = 7
D) x = 5
24) m is undefined, (-7, 9)
A) y = 9
B) x = 9
C) x = -7
Find an equation of the line passing through the two given points.
25) (-5, 8) and (-3, -2)
A) y = - 5(x + 5)
B) y = mx - 17
C) y = - 5x - 17
D) y = -7
D) y = 5x - 17
26) (6, -8) and (6, 10)
A) y = x - 6
B) y = x + 6
C) y = 6
D) x = 6
27) (1, 2) and (-5, 2)
A) x = 2
B) y = 2
C) y = 0
D) y = x + 2
Find an equation of the line that contains the given point and is parallel to the given line.
28) 2x + y = 8, (5, 2)
1
A) y = - 2x - 12
B) y = - x - 6
C) y = - 2x + 12
D) y = 2x - 12
2
29) -2x - y = 5, (-6, -5)
A) y + 5 = x + 6
B) y = -2x + 17
C) y + 5 = mx + 6
D) y = -2x - 17
Find an equation of the line that contains the given point and is perpendicular to the given line.
30) y = -4x + 1, (-1, -3)
1
11
11
1
11
11
A) y = - x B) y = 4x C) y = x D) y = -4x 4
4
4
4
4
4
31) -5x + y = 5, (4, 3)
1
19
A) y = - x 5
5
32) x = 9, (3, 1)
A) y = -1
B) y = -
1
19
x+
5
5
B) y = 3
5
1
19
x5
5
C) y = - 5x - 19
D) y =
C) y = 9
D) y = 1
22)
23)
24)
25)
26)
27)
28)
29)
30)
31)
32)
Use the table to answer the question.
33) Let y be the value of a computer (in hundreds of dollars), when it is x years old. Some pairs of
values are listed in the table below.
33)
Age
Value
(years) (hundreds of dollars)
x
y
0
7
1
6.5
2
6
3
5.5
4
5
5
4.5
Find an equation that describes the relationship between x and y.
A) y = 0.5x - 7
B) y = -0.5x - 7
C) y = -0.5x + 7
D) y = -0.5x
Find an equation for the line.
34)
A) y = 10x - 35
34)
C) y =
B) y = 10x + 35
1
1
x10
35
Solve the problem.
35) Some values for a relation are given in the table. Is the relation a function?
x
1
2
3
4
5
y
2
7
7
1
9
A) Yes
B) No
6
D) y = 10x + 46
35)
Determine whether the graph is the graph of a function.
36)
36)
A) function
B) not a function
37)
37)
A) function
B) not a function
Find the domain and the range of the relation.
38)
38)
A) domain: all real numbers; range: all real numbers
B) domain: x 0; range: all real numbers
C) domain: x -4; range: all real numbers
D) domain: all real numbers; range: y -4
7
Answer Key
Testname: CH1PRAC
1)
2)
3)
8
Answer Key
Testname: CH1PRAC
4)
5)
6)
7)
8)
9)
10)
11)
C
C
A
A
A
B
C
12) m =
1
, y-intercept: (0, -1)
2
13) m =
1
, y-intercept: (0, 6)
4
9
Answer Key
Testname: CH1PRAC
14) m = 0, y-intercept: (0, -5)
15) B
16) D
17)
18)
19)
20)
21)
22)
23)
24)
25)
26)
27)
28)
29)
30)
31)
32)
33)
34)
35)
36)
37)
38)
A
B
C
A
C
B
C
C
D
B
C
D
C
B
D
C
B
A
B
A
D
x
0
1
2
3
4
5
y
-2
0
2
4
6
8
10