L3 Algebra 1 Ch 10 Test
1. What is cos A for the triangle shown?
A
15
C
17
B
8
Solve the equation. Identify any extraneous solutions.
____
2.
a.
b.
c.
d.
6 is a solution to the original equation. The value –5 is an extraneous solution.
6 and 5 are both extraneous solutions.
5 is a solution to the original equation. The value –6 is an extraneous solution.
6 and –5 are solutions.
Simplify the radical expression.
____
____
3.
a.
b.
c.
d.
a.
b.
c.
d.
4.
What is the side length b in the triangle below?
5. A slide is 21 ft long. To get to the top of the slide, you use a vertical 9-foot high rung ladder. What is the
distance, b, from the bottom of the slide to the bottom of the stairs? Round your answer to the nearest tenth.
21
9
b
18
8
b
____
6.
a. 16.1
b. 19.7
c. 13
Simplify the radical expression by rationalizing the denominator.
7.
d. 26
8.
Simplify the radical expression.
9.
10.
11.
____ 12.
a.
c.
b.
d.
Solve the equation. Check your solution.
13.
Match the function with its graph.
____ 14.
a.
c.
y
–8
8
8
4
4
–4
4
8
x
–8
–4
–4
–4
–8
–8
b.
d.
y
–8
y
8
4
4
4
8
x
8
x
4
8
x
y
8
–4
4
–8
–4
–4
–4
–8
–8
15. What is sin A for the triangle shown?
A
16
C
20
12
B
____ 16. The size of a computer monitor is given by the length of the diagonal of the screen. The ratio of the height to
the width of wide-screen monitors is 9:16. Find expressions for the width and height of a wide-screen
monitor in terms of the length of its diagonal.
a.
c.
,
,
b.
d.
,
,
What is the domain of the function?
____ 17.
.
a.
x
b.
2

3
2
x> 3

c.
x
2
3
d.
x
What is the length of the hypotenuse of the right triangle shown?
c
12
7
____ 18.
a. 8.7
b. 361
c. 13.9
Can the set of lengths be the side lengths of a right triangle?
____ 19. 7 ft, 12 ft, 17 ft
a. no
b. yes
Simplify the expression.
____ 20.
a.
b.
c.
d.
d. 4.4
3
2
____ 21.
a.
b.
c.
____ 22. What is the value of tan 21° to the nearest ten-thousandth?
a. 0.3839
c. 2.7904
b. 0.9336
d. 0.3584
Find the value of x to the nearest tenth.
x
32 °
10
23.
x
40 °
7
24.
d.
Solve the proportion.
25.
L3 Algebra 1 Ch 10 Test
Answer Section
15
1. 17
2. A
3. C
4. B
5. 19.0
6. A
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
10 5
C
115
A
3
5
A
C
C
A
C
A
A
11.8
5.9
Cross Multiply.
Solve for x.
Multiply the numerator and denominator by the conjugate of the
denominator.
Simplify the denominator.
Use a calculator.