Study Island
Copyright © 2015 Edmentum - All rights reserved.
Generation Date: 02/22/2015
Generated By: Robert Dilliplane
1. Simplify the following expression.
A.
B.
C.
D.
2. Simplify the following.
A.
B.
C.
D.
3. Simplify the following expression.
A.
B.
C.
D.
4. Simplify:
A.
B.
C.
D.
-
5. Evaluate the following expression when r = 4 and t = 2.
7r t + 57
A. 85
B. 201
C. 169
D. 120
6. Simplify the following expression.
A.
B.
C.
D.
7. Evaluate the following expression when n = 2.
|4n - 8| + |-2|
A. -2
B. 7
C. 3
D. 2
8. Simplify the following.
A.
B.
C.
D.
9. Simplify the following.
A.
B.
C.
D.
10. Evaluate the following expression when n = 3.
|n - 9| - |2 - n|
A. -7
B. 7
C. -5
D. 5
11.
A.
B.
C.
D.
12. Evaluate the following expression when r = 3 and t = 3.
(2 + r)t - 23
A. 114
B. 102
C. 31
D. 41
13. Simplify: 13(|-11 + 22| + 11) - 22
A. 154
B. 264
C. 286
D. 308
14. Simplify:
A.
-
B.
C.
D.
+
15.
A.
B.
C.
D.
Answers
1. A
2. A
3. B
4. A
5. C
6. B
7. D
8. B
9. B
10. D
11. A
12. B
13. B
14. D
15. C
Explanations
1. If the bases are different but the exponents are the same, then divide the bases and keep the
exponent.
2. Order of Operations:
1. Parentheses or Brackets from the inside out.
2. Exponents and Roots
3. Multiplication and Division from left to right.
4. Addition and Subtraction from left to right.
3. A negative exponent means to divide by that number of factors instead of multiplying.
4. Use the Product Property of Radicals to simplify.
5. Plug the numbers into the equation and solve.
7r t + 57 =
=
=
=
7 × 42 + 57
7 × 16 + 57
112 + 57
169
6. When dividing two or more exponential expressions with the same base, subtract the exponent
of the denominator from the exponent of the numerator.
7. Absolute value is the magnitude of a number irrespective of its sign.
Evaluate the given expression piece-by-piece, using order of operations:
|4n - 8| = |4 × 2 - 8| = |8 - 8| = 0
|-2| = 2
0+2=2
8. Order of Operations:
1. Parentheses or Brackets from the inside out.
2. Exponents and Roots
3. Multiplication and Division from left to right.
4. Addition and Subtraction from left to right.
9. Order of Operations:
1. Parentheses or Brackets from the inside out.
2. Exponents and Roots
3. Multiplication and Division from left to right.
4. Addition and Subtraction from left to right.
10. Absolute value is the magnitude of a number irrespective of its sign.
Evaluate the given expression piece-by-piece, using order of operations:
|n - 9| = |3 - 9| = |-6| = 6
|2 - n| = |2 - 3| = |-1| = 1
6-1=5
11.
12. Plug the numbers into the equation and solve.
(2 + r)t - 23 =
=
=
=
(2 + 3)3 - 23
(5)3 - 23
125 - 23
102
13. Use the order of operations to simplify the expression.
13(|-11 + 22| + 11) - 22 = 13(|11| + 11) - 22
= 13(11 + 11) - 22
= 13(22) - 22
= 286 - 22
= 264
14. Expand and simplify the expression.
15.