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EXAMPLE 3 Solving an Equation with Mixed Numbers Biology

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Presentation on theme: "EXAMPLE 3 Solving an Equation with Mixed Numbers Biology"— Presentation transcript:

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


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