Evaluating Expressions

Show your work for each problem.

1.
Evaluate when
1. a)12
2. b)1
3. c)7
4. d)34
Answer: 7
. We substitute for and then add.
2.
Evaluate when
Answer: 12
. Remember that is shorthand for .
3.
Evaluate when
Answer: 14
1. What does become when ? 12
2. Now add to your result. What is ? 14
4.
Evaluate when
1. a)103
2. b)7
3. c)30
4. d)13
Answer: 7
. Substitute and subtract.
5.
Evaluate when
Answer: 5
. Substitute and divide.
6.
Evaluate when and
Answer: 16
1. What is when ? 10
2. What is when ? 6
3. What is ? 16
7.
Evaluate when
1. a)10
2. b)25
3. c)52
4. d)7
Answer: 25
. The exponent means to multiply the base by itself.
8.
Evaluate when and
Answer: 7
9.
Evaluate when
Answer: 15
1. What is when ? 9
2. What is when ? 6
3. What is ? 15
10.
Evaluate when
1. a)14
2. b)9
3. c)342
4. d)18
Answer: 18
. Parentheses first: , then multiply.
11.
Evaluate when and
Answer: 6
. This is actually the formula for the average!
12.
Evaluate when
Answer: 9
1. What is inside the parentheses after substituting? What is ? 7
2. Now multiply: What is ? 14
3. Finally subtract: What is ? 9
13.
Evaluate when
1. a)28
2. b)3
3. c)8
4. d)-2
Answer: 8
14.
Evaluate when
Answer: 9
15.
Evaluate when and
Answer: 12.5
1. What is when ? 9
2. What is when ? 16
3. What is ? 25
4. What is ? 12.5
16.
Evaluate when and
Answer: 25
1. First add inside the parentheses. What is ? 5
2. Now square the result. What is ? 25