Name:________________________________
Study Island – Operations with Real numbers and Expressions
Copyright © 2012 Study Island - All rights reserved.
Generation Date: 10/18/2012
Generated By: Amanda Manuel
Compare and Order Numbers
1. Order the following from greatest to least.
A.
B.
C.
D.
Compare and Order Numbers
2. Select the correct symbol.
?
A. =
B. >
C. <
25
/3
Compare and Order Numbers
3. Order the following numbers from greatest to least.
A.
B.
C.
D.
Simplify Square Roots
4. Simplify.
A.
B.
C.
D.
Simplify Square Roots
5. Simplify.
A.
B.
C.
D.
Simplify Square Roots
6. Simplify.
A.
B.
C.
D.
GCF & LCM of Monomials
7.
21u4v4w3
77u3vw
What is the greatest common factor (GCF) of the monomials shown above?
A. 7u4v4w3
B. 231u3vw
C. 7u3vw
D. 231u7v5w4
GCF & LCM of Monomials
8.
21x2y3
33x3y
What is the greatest common factor (GCF) of the monomials shown above?
A. 231x3y3
B. 231x5y4
C. 3x2y
D. 3x3y3
GCF & LCM of Monomials
9. Look at the three monomials below.
3x4yz2
5xy3z3
5y2z
What is the least common multiple (LCM) of the monomials shown above?
A. xy
B. 15x5y4z5
C. 15x4y3z3
D. xyz2
Simplify & Evaluate Expressions
10. Simplify the following expression.
A.
B.
C.
D.
Simplify & Evaluate Expressions
11. Evaluate the following expression when n = 5.
|n - 6| - |5 - n|
A. 7
B. -3
C. -8
D. 1
Simplify & Evaluate Expressions
12. Simplify: |38 - 2 • 18| - 16|10 - 7|
A. 165
B. -46
C. 46
D. -165
Estimation
13. Hank's car can travel about 31 miles per gallon of gas. If the car has used 16 gallons of gas, approximately
how far has Hank driven?
A.
B.
C.
D.
Estimation
14. A band just recorded a new album with 12 tracks. The shortest song on the album is 1 minute and 14
seconds. The longest song on the album is 4 minutes and 34 seconds. What is a reasonable estimate for the total
time of the album?
A. 10 minutes
B. 72 minutes
C. 36 minutes
D. 3 minutes
Polynomial Expressions
15. Simplify: (9x2 - 2x + 8) + (-4x2 + 7x - 4)
A. 5x2 + 9x - 4
B. 13x2 + 5x + 12
C. 5x2 + 5x + 4
D. 5x2 + 9x + 4
Polynomial Expressions
16. Simplify: (6x4 - 2x3 - 4x2 - 10) + (2x4 - 7x2 + x - 7)
A. 8x4 - 2x3 - 11x2 - 17
B. 8x4 - 2x3 - 11x2 + x + 17
C. 8x4 - 2x3 - 11x2 + x - 17
D. 4x4 - 2x3 - 11x2 + x - 17
Factor Algebraic Expressions
17. Factor the following expression completely.
x4 - 81
A. (x - 3)(x3 + 27)
B. (x - 3)(x + 3)(x - 3)(x + 3)
C. (x - 3)(x + 3)(x2 + 9)
D. (x2 - 9)(x2 + 9)
Factor Algebraic Expressions
18. Factor the following expression completely.
4x2 - 100
A. (4x + 5)(x - 5)
B. 4(x - 5)2
C. 4(x + 5)(x - 5)
D. 4(x2 - 25)
Rational Algebraic Expressions
19. Simplify the following expression.
A.
B.
C.
D.
Rational Algebraic Expressions
20. Simplify the following expression.
A.
B.
C.
D.
Answers
1. C
2. B
3. B
4. C
5. C
6. B
7. C
8. C
9. C
10. C
11. D
12. B
13. C
14. C
15. C
16. C
17. C
18. C
19. C
20. C