Name: ________________________ Class: ___________________ Date: __________
Algebra Test 10 Review
What is the length of the hypotenuse of the right triangle shown?
1.
A) 8.7
B) 361
C) 13.9
D) 4.4
What is the side length b in the triangle below?
2.
A) 16.1
B) 19.7
C) 13
1
D) 26
Name: ________________________
ID: A
3. 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.
A) 22.8
B) 19.0
C) 30.0
D) 15.0
Can the set of lengths be the side lengths of a right triangle?
4. 18 m, 24 m, 30 m
A) yes
B) no
Simplify the radical expression.
5.
6.
20h 6 k 4
A) 4 5h 6 k 4
C) 2h 3 k 2
B) 2 5h 6 k 4
D) hk
5
10
14q ⋅ 2 4q
A) 3 56q 2
B) 4q
14
C) 2 56q 2
D) 4 14q 2
Simplify the radical expression.
80w 3
9
7.
A)
w 80w
3
B)
4w
5w
3
80w 3
3
C)
2
D) 3 w 3
Name: ________________________
ID: A
63x 15 y 9
8.
7xy 11
8x 7 y 4
A)
xy
7xy
B)
11
3x 7
y
C)
9x 7
y
D) 9x 7 y
Simplify the radical expression by rationalizing the denominator.
9.
9 25
50
9 2
2
A)
B)
9
25
C)
9 50
25
D)
9 50
50
Simplify the expression.
10. 7 7 − 2 28
A) 3 28
B) −
7 )(9 + 7 )
A) 88 + 18 7
B) 32
7
C) 5 28
D) 3 7
11. (9 –
12.
Ê
ˆ
6 ÁÁÁ 33 + 7 ˜˜˜
Ë
¯
A)
39 + 7 6
B)
198 + 7
3
7−
13.
A)
B)
Ê
3ÁÁÁ
Ë
C) 81 +
D) 74
7
C) 3 22 + 7 6
198 + 7 6
D)
2
7−
ˆ
2 ˜˜˜
¯
5
3 7 +3 7
5
C)
D)
Ê
3ÁÁÁ
Ë
7+
ˆ
2 ˜˜˜
¯
5
3 7 −3 7
5
3
Name: ________________________
ID: A
Solve the proportion.
14.
7 −1
4
4
=
x
A)
B)
8
3
8
3
8
3
8
7+
3
7–
C)
D)
3
8
3
8
8
3
8
7–
3
7+
Solve the equation. Check your solution.
15. 4 =
16.
h −6
A) 10
B) 100
C)
a + 6 = 11
A) 115
B) 5
C) 127
D) 16
B) –14
C) 14
D) –1
10
D) 5
Solve the equation.
17.
6x + 8 =
1
A)
14
7x − 6
Solve the equation. Identify any extraneous solutions.
18. x =
A)
B)
C)
D)
x + 30
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.
19. 8 9j + 10 = 1
9
A)
is a solution of the original equation. –
64
9
is a solution of the original equation.
B)
64
9
C) –
is a solution of the original equation.
64
D) no solution
9
is an extraneous solution
64
9
is an extraneous solution
64
4
Name: ________________________
ID: A
20. What is sin A for the triangle shown?
A)
3
4
B)
3
5
C)
5
3
D)
4
5
C)
8
15
D)
17
8
C)
5
3
D)
3
5
21. What is cos A for the triangle shown?
A)
8
17
B)
15
17
22. What is tan A for the triangle shown?
A)
4
5
B)
3
4
5
Name: ________________________
ID: A
Find the value of x to the nearest tenth.
23.
A) 5.4
B) 5.9
C) –7.8
D) 4.5
24. What is the measure of angle A in the triangle below?
A) 73.7°
B) 16.3°
C) 25.2°
6
D) 90°
Name: ________________________
ID: A
25. What is the measure of angle B in the triangle below?
A) 73.7°
B) 90°
C) 25.2°
D) 16.3°
26. Suppose you live 6.9 miles from a hill. From your home you see a plane directly above the hill. Your angle of
elevation to the plane is 24°. What is the plane’s altitude?
A) 2.8 miles
B) –14.7 miles
C) 6.3 miles
D) 3.1 miles
7