1. EXAMPLE 3
Solving an Equation with Mixed Numbers
Biology
A corn snake that is inches long grows g inches
to a length of inches. How much does it grow? 3 4 1
SOLUTION

2. Solving an Equation with Mixed Numbers
EXAMPLE 3
Solving an Equation with Mixed Numbers 27 1 4
– 14 3 = g
Original equation. 26 5 4
– 14 3 =
Rename so its fraction part
Is greater than 1 4 3 =
( ) – ( ) 5 4 3
Write mixed numbers in expanded form. =
– 14 – 5 4 3
Distribute the subtraction. =
(26 – 14) +
( ) 5 4 – 3
Group whole numbers and fractions. =
12 + 2 4
Subtract whole numbers and fractions. = 12 1 2
Simplify and write as a mixed number.

3. EXAMPLE 3
Solving an Equation with Mixed Numbers
ANSWER
The snake grows inches. 1 2

4. Evaluating Longer Expressions
EXAMPLE 4
Evaluating Longer Expressions a. 2 11 5 9 – + =
2 – 5 + 9 11
Write 2 – over common denominator. 6 11 =
Evaluate numerator from left to right. b. 3 6 7 – 2 + 4 5
( )
= (3 – 2 + 4) + 6 7 – 3 + 5
Group whole numbers and fractions. 5 8 7 =
Evaluate inside parentheses. 6 1 7 =
Rename.

5. GUIDED PRACTICE
for Examples 3 and 4 5.
Gardening
A plant that is 5 inches high grows x inches to a
height of inches. Write and solve an equation to
find the amount of growth. 7 8 3
SOLUTION 8 3
– 5 7 =
in. 1 2 =

6. GUIDED PRACTICE
for Examples 3 and 4
Evaluate. Then simplify if possible. 4 6. 3 7 5 +
SOLUTION 3 4 7 5 + = 4 15 4 = 3 4 =

7. GUIDED PRACTICE
for Examples 3 and 4
Evaluate. Then simplify if possible. 7. 15 8 7 3 – +
SOLUTION 15 8 7 3 – + =
15 – 7 + 3 8 11 8 = 1 3 8 =

8. GUIDED PRACTICE
for Examples 3 and 4
Evaluate. Then simplify if possible. 2 1 3 – + 8.
SOLUTION = 5 1 3