1. Lesson 1-3
• order of operations
• base
• exponent

2. Lesson 1-3
Standard 7NS1.2 Add, subtract, multiply, and
divide rational numbers (integers, fractions, and
terminating decimals) and take positive rational
numbers to whole-number powers.
Standard 7AF2.1 Interpret positive whole-number
powers as repeated multiplication and negative
whole-number powers as repeated division or
multiplication by the multiplicative inverse. Simplify
and evaluate expressions that include exponents.
Standard ALG4.0 Students simplify expressions
before solving linear equations and inequalities in one
variable, such as 3(2x – 5) + 4(x – 2) = 12.

3. Lesson 1-3
Evaluate Expressions
Find the value of 7 ● 10 + 10 ÷ 2 – 6 ● 5. Show your
work.
7 ● 10 + 10 ÷ 2 – 6 ● 5 = 70 + 10 ÷ 2 – 6 ● 5
Multiply 7 by 10.
Divide 10 by 2.
= 70 + 5 – 6 ● 5
Multiply 6 by 5.
= 70 + 5 – 30
Add 70 and 5.
= 75 – 30
Subtract 30 from 75.
= 45
Answer: 45

4. Lesson 1-3
FINANCE Mrs. Rodriguez bought 3 gallons of milk
for $2.50 each and 2 loaves of bread for $1.00 each.
How much did Mrs. Rodriguez spend on milk and
bread?
Total spent:
money spent on milk plus money spent on bread
3 ● 2.50 + 2 ● 1.00

5. Lesson 1-3
3 ● 2.50 + 2 ● 1.00 = 7.50 + 2 ● 1.00
Multiply 3 by 2.50.
Multiply 2 by 1.00.
= 7.50 + 2.00
Add 7.50 and 2.00.
= 9.50
Answer: Mrs. Rodriguez spent $9.50 on milk and
bread.

6. Lesson 1-3
Expressions with Parentheses
Find the value of 10 + 4(6 + 9). Show your work.
10 + 4(6 + 9) = 10 + 4(15) Add 6 and 9.
Multiply 4 by 15.
= 10 + 60 Add 10 and 60.
= 70
Answer: 70

7. Lesson 1-3
Expressions with Exponents
Find the value of 5 ● 32 – 42. Show your work.
5 ● 32 – 42 = 5 ● 32 – 16 Find 42. 4 ● 4 = 16
Multiply 5 by 32.
= 160 – 16 Subtract 16 from 160.
= 144
Answer: 144

8. Lesson 1-3
Expressions with Grouping Symbols
and Exponents
Find the value of 62 ÷ 2 + 4[(6 + 24) ÷ 5]. Show your
work.
62 ÷ 2 + 4[(6 + 24) ÷ 5] = 62 ÷ 2 + 4[(30) ÷ 5]
Start with the innermost
grouping symbol.
Add 6 and 24.
Divide 30 by 5.
= 62 ÷ 2 + 4(6)
Find 62.
6 ● 6 = 36
= 36 ÷ 2 + 4(6)
Divide 36 by 2.

9. Lesson 1-3
Expressions with Grouping Symbols
and Exponents
= 18 + 4(6)
Multiply 4 by 6.
= 18 + 24
Add 18 and 24.
= 42
Answer: 42