solution example 3 solving an equation with mixed numbers biology a corn snake that is 14 inches...
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SOLUTION
EXAMPLE 3 Solving an Equation with Mixed Numbers
Biology
A corn snake that is 14 inches long grows g inches
to a length of 27 inches. How much does it grow?
34
14
EXAMPLE 3 Solving an Equation with Mixed Numbers
g Original equation.
26 54
– 14 34= Rename 27 so its fraction part
Is greater than .
14
34
= (26 + ) – (14 + )54
34
Write mixed numbers in expanded form.
= 26 + – 14 – 54
34
Distribute the subtraction.
= (26 – 14) + ( )54
– 34
Group whole numbers and fractions.
= 12 + 24
Subtract whole numbers and fractions.
= 12 12
Simplify and write as a mixed number.
27 14
– 14 34=
EXAMPLE 3 Solving an Equation with Mixed Numbers
ANSWER
The snake grows 12 inches.12
EXAMPLE 4 Evaluating Longer Expressions
a. 211
511
911
– + = 2 – 5 + 911
Write 2 – 5 + 9 over common denominator.
611=
Evaluate numerator from left to right.
b. 3 67
– 2 37 + 4 5
7
( )= (3 – 2 + 4) + 67
– 37 + 5
7Group whole numbers and fractions.
5 87
= Evaluate inside parentheses.
6 17
= Rename.
GUIDED PRACTICE for Examples 3 and 4
5. GardeningA 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.
78
8 38
2 in.12=
SOLUTION
8 38
– 5 78=
GUIDED PRACTICE for Examples 3 and 4
Evaluate. Then simplify if possible.
4 4 46. 3 7 5+ +
SOLUTION
34
74
54
+ + =3 + 7 + 5
4
154=
3 34=
GUIDED PRACTICE for Examples 3 and 4
Evaluate. Then simplify if possible.7. 15
878
38
– +
SOLUTION
158
78
38
– + =15 – 7 + 3
8
118=
1 38=
GUIDED PRACTICE for Examples 3 and 4
Evaluate. Then simplify if possible.
SOLUTION
= 5 13
2 13
– 23 + 3 2
38.