Name
Class
Date
Standards Progress Test 4
4. What is the missing value in x3 y3 ? x4 y 5 x7
1. What is the simplified form of 6x-3?
A 216x3
F
4
B
1
216x3
G 5
C
6
x3
I
H 6
7
D 216
x3
12x2y23
?
9x23y5
˛
5. What is the simplified form of
˛
2. What is the simplified form of
F
G
2y2
3x3
A 4x2
3y
3x 23 ?
(2y) 22
3
B 4x5
3y
5
C 4x8
3y
12y2
x3
D
H 12x3y2
I
4y8
3x5
1
12x3y2
6. Which of the following monomials will make the
proportion true?
21
A6m3n 24 B 2
5 9m 17 ?
?
16n
3. What is the simplified form of (-3a)3 (2b)-2?
3
A 2 27a2
4b
F (4m 25n3)
G (4m 25n 23) 23
3
B 27a2
4b
C
3
2 3a2
4b
D
1
54a3b2
23
H (4m 252n3) 3
I
(4m 25n3) 3
Prentice Hall Algebra 1 • Progress Monitoring Assessments
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
33
Name
Class
7. Add:
(7x2 - 8x3 + 4) + (9x3 + 2x2 + 7)
10. What is the simplified form of
5x + 6 - 4x2 + 3x?
F
A -x3 + 9x2 + 11
4x2 + 8x + 6
G 4x2 + 2x + 6
B 16x5 - 6x + 11
H -4x2 + 8x + 6
C x3+ 9x2 + 11
I
D x3+ 9x2 - 3
-4x2 + 2x + 6
11. What is the simplified form of
(-5a2 + 6a + 2) - (3a2 - 4a - 5)?
8. Subtract:
(x2 + 6x - 8) - (-3x2 + 2x - 9)
F
Date
A -8a2 + 10a + 7
B -8a2 + 2a + 7
4x2 + 4x + 1
G -2x2 + 4x + 1
C -2a2 + 10a + 7
H 4x2 + 4x + 17
D -8a2 + 10a - 3
I
4x2 + 8x + 17
9. Which of the following is a product of
5y(y2 + 7y - 5)?
12. What is the simplified form of
4s3(-3s + 2s2 + 5)?
F
-12s5 + 8s4 + 20s3
A 5y3 + 35y - 25
G -8s5 + 12s4 + 20s3
B 5y + 35
H 8s5 - 12s4 + 20s3
C 5y3 + 35y2 - 25y
I
8s5 - 12s4 + 20
D 6y2 + 35y - 25
Prentice Hall Algebra 1 • Progress Monitoring Assessments
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
34
Name
Class
13. What is the factored form of x2+ 12x + 27?
A (x + 8)(x + 4)
B (x + 6)(x + 6)
Date
16. To factor 12x2 2 40x 2 7 by grouping, you first
find two integers whose product is
and whose sum is
.
F
C (x + 9)(x + 3)
40, 5
G 284, 240
D (x + 7)(x + 5)
H 144, 247
I
2336, 1600
14. What is the factored form of 49b2 - 56b + 16?
F
(4b - 7)2
17. Find the greatest common factor of the terms
in 14a2b3 1 42a5b2.
G (7b - 4)2
H (7b - 8)(7b - 2)
I
A 7ab
(8b - 7)(2b - 7)
B 7a2b2
C 14a5b3
D 14a2b2
15. What are the possible dimensions of a rectangular
prism with volume V 5 6y3 1 23y2 1 20y?
A y, 3y + 5, 2y + 4
18. Factor by grouping.
B y, 3y + 4, 2y + 5
10x2 1 19x 1 6
C y, y + 4, 6y + 5
F
D y, 6y + 4, y + 5
(5x 1 2)(2x 1 3)
G (x 1 2)(10x 1 3)
H 2(x 1 1)(5x 1 3)
I
2(5x 1 1)(x 1 3)
Prentice Hall Algebra 1 • Progress Monitoring Assessments
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
35
Name
Class
19. Which of the following is the graph of y 5 1 # 3x?
2
A
16
y
Date
20. The population of a city is 48,000 and increases
2% each year. What will be the estimated
population of the city after 8 years?
F
54,050
G 55,100
12
H 56,250
8
I
58,500
4
x
⫺1 O
B
16
1
3
5
7
y
21. The formula for the area of a circle is A 5 pr2. If
the radius of a circle is represented by 7x4, which
expression represents the area of the circle?
12
8
A A 5 p(14x8)
4
B A 5 p(49x8)
x
⫺1 O
C
16
2
4
6
C A 5 p(49x6)
D A 5 p(14x6)
y
12
8
22. Which of the following polynomials has a
greatest common factor of 2y2?
4
x
⫺1 O
D
16
2
4
6
F
6y4 - 18y3 + 12y2
G 4y4 - 12y3 + 8y2
H 4y4 - 12y3 + 10y2
y
I
2y3 - 12y2 + 10y
12
8
4
x
⫺1 O
2
4
6
Prentice Hall Algebra 1 • Progress Monitoring Assessments
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
36
Name
Class
23. What is the width of the rectangle shown
below?
Date
26. A rectangle has dimensions 5x + 1 and x + 4.
Which of the following could be the length and
width of the rectangle?
5x 1 1
F
11 cm by 5 cm
G 16 cm by 7 cm
A 5 10x3 213x 23
H 26 cm by 8 cm
I
12 cm by 6 cm
A x-3
B 2x - 5
C 2x - 3
D 2x - 1
27. You are asked to factor n2 + 3n - 54. Which
factors should you choose to get started?
A 6 and 9
B -6 and -9
24. Which expressions can represent the dimensions
of a rectangular prism with a volume of
12y3 + 62y2 + 80y?
F
C -6 and 9
D 6 and -9
2y, 2y + 8, 3y + 5
G 2y, 2y + 4, 3y + 10
H y, 2y + 5, 3y + 8
I
28. Which of the following is always true?
2y, 2y + 5, 3y + 8
F
25. The world’s population is slightly under 6.8
billion. Which of the following is a reasonable
representation of the world’s population?
A 6.755 3 105
B 6.755 3 107
m
G a n 5 am2n, where a 2 0 and m and n are
a
integers
m
H a n 5 an2m, where a 2 0 and m and n are
a
integers
C 6.755 3 109
I
D 6.755 3 1011
am 5 am1n, where a 2 0 and m and n are
an
integers
am 5 am # n, where a 2 0 and m and n are
an
integers
Prentice Hall Algebra 1 • Progress Monitoring Assessments
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
37
Name
Class
Date
29. Which of the following statements is never true?
A All quadratic trinomials can be written as the
product of two binomial factors.
B Some quadratic trinomials can be written as
the product of two binomial factors.
C Some quadratic trinomials have a greatest
common factor.
D Some quadratic trinomials have binomial
factors that are the same.
30. Which of the following statements is true?
F
The product of two binomials is always a
trinomial.
G The product of two binomials is never a
binomial.
H The product of two binomials is sometimes a
binomial.
I
The product of two binomials is sometimes a
monomial.
Prentice Hall Algebra 1 • Progress Monitoring Assessments
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
38