Download Algebra 1 Chapter 10 Review

Name
Class
Date
Cumulative Review
Chapters 1–10
Multiple Choice
For Exercises 1–11, choose the correct letter.
1. Which property is illustrated by x 7 7 x?
A. Associative Property of Addition
C. Identity Property of 7
B. Commutative Property of Addition
D. Distributive Property
2. In which quadrant would the point (3, 4) be located?
F. I
G. II
H. III
3. If 4r 3s 5t, then t ?
3s 5r
3s 4r
A.
B.
4
5
C.
I. IV
4r 5
3s
D.
4r 3s
5
4. Which functions have minimum values?
I. f(x) : 2x 1:
II. y x2 3x
III. f(x) 4x 3
IV. h(x) 2x2 x 6
F. I and III
G. II and III
H. II and IV
I. I and IV
5. What is the vertex of f(x) x2 8x 3?
A. (2, 23)
B. (4, 13)
D. (4 13 , 0)
C. (0, 3)
6. If x 2, y 3, and z 0, which expression has the greatest value?
z
F. (4y)x
G. (xy3)5z
H.
I. xy
25yx
7. A pickup truck that sold for $18,722 in 1996 sells for $32,270 in 2002.
What is the percent increase?
A. 27%
B. 65%
C. 72%
D. 172%
8. The point (3.5, 9) is the midpoint of the line segment determined by which
pair of points?
F. (6, 2), (10, 11) G. (0, 4), (7, 5)
9. Solve : x 5 :
A. 10
x
H. (2, 3), (9, 15)
I. (1, 7), (8, 11)
5.
0
B. 5
x
5
C. 10
x
5
D. 10
10. Find the slope of the line passing through the points (3, 5) and (6, 14).
7
19
19
9
F. 3
G. 9
H. 9
I. 19
11. Multiply (3x 1)(x2 2x 4).
A. 3x3 5x2 14x 4
C. 3x3 5x2 10x 4
B. 3x3 7x2 14x 4
D. 3x3 7x2 10x 4
1SFOUJDF)BMM"MHFCSB t Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
71
x
10
Name
Class
Date
Cumulative Review (continued)
Chapters 1–10
Find the number of solutions for each function.
12. y x2 6x 9
13. y x2 3x 5
14. What is the length of the diagonal of a 3 by 6 rectangle?
15. A department store purchases coats for $30 each and then sells them for $45
each. What is the percent increase?
16. What is the y-intercept of the graph of 4x 3y 12?
17. For what value of a would (x a) be a factor of x2 30x 225?
18. One leg of a right triangle measures 12 in. The hypotenuse measures 13 in.
What is the length of the other leg?
19. Find the distance between the points (7, 1) and (5, 6).
20. Write the equation of a line passing through the points (2, 3) and (4, 7).
21. Write an equation in standard form of a line passing through the points
(2, 0) and (3, 1).
22. Vocabulary What is the name for a solution that results from solving a radical
equation that is not a solution to the original radical equation?
23. Simplify (9x4 3x2 2) (x2 3).
24. Factor 54x4 9x3 12x2 2x completely.
25. Write and simplify an expression for the area of the shaded region.
2x Ľb3
x àb3
6x Ľb5
3x àb7
1SFOUJDF)BMM"MHFCSB t Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
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