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Example 5-4c Objective Solve equations with rational number solutions

Example 5-4c Vocabulary Multiplicative inverse The product of a number and its multiplicative inverse is Inverse is 2 1

Example 5-4c Vocabulary Reciprocal Another name for multiplicative inverse

Lesson 5 Contents Example 1Find Multiplicative Inverses Example 2Find Multiplicative Inverses Example 3Solve a Division Equation Example 4Use a Reciprocal to Solve an Equation

Example 5-1a Find the multiplicative inverse of Write fraction 4 7 Put numerator in denominator 4 Put denominator in numerator 7 1/4 Answer:

Example 5-1b Answer: Find the multiplicative inverse of 1/4

Example 5-2a Answer: Rename the mixed number as an improper fraction (use calculator) Find the multiplicative inverse of Write fraction Put numerator in denominator 25 Put denominator in numerator 4 2/4

Example 5-2b Answer: Find the multiplicative inverse of 2/4

Example 5-3a Write the equation As “what is being done to the variable”? Solve The variable is being divided by 6 Do the inverse on both sides of the equal sign 3/4 Bring down Multiply by 6 Bring down = 11 Multiply by 6

Example 5-3a Bring down p Answer: p = 66 Solve p p = 66 3/4 p  1 Combine “like” terms Bring down = p  1 = Combine “like” terms p  1 = 66 Use the Identify Property to multiply p  1

Example 5-3b Answer: m = 36 Solve 3/4

Example 5-4a MULTIPLE-CHOICE TEST ITEM What value of a true sentence? A B C D 4/4 Write the equation As “what is being done to the variable”? The variable is being multiplied by Do the inverse on both sides of the equal sign

Example 5-4a 4/4 Bring down y = -8 Using the fraction bar, divide both sides by Combine “like” terms 1 Bring down  y = 1  y = Combine “like” terms 1  y = -10 Use the Identify Property to multiply y  1 y = -10

Example 5-4a 4/4 Determine the appropriate multiple choice answer 1 1  y =1  y = -10 y = -10 A B C D Answer: D

Example 5-4c MULTIPLE-CHOICE TEST ITEM What value of a true sentence? A B C D Answer: C * 4/4

End of Lesson 5 Assignment Lesson 6:5Algebra: Solving Equations All