Equation of Direct Variation In a DIRECT VARIATION, as one quantity increases, the other quantity increases. Equation of Direct Variation

To solve a problem using direct variation, we used proportions. If Martha can run 10 miles in 140 minutes, how long will it take her to run 26 miles.

Electrical current and Resistance INVERSE VARIATION In an INVERSE VARIATION, as one quantity increases, the other quantity decreases. EXAMPLES Rate of speed and time Pressure and Volume Electrical current and Resistance

Equations of Inverse Variation In an INVERSE VARIATION, as one quantity increases, the other quantity decreases. Equations of Inverse Variation

y varies inversely as x. If y = 20 when x = 12, find y when x = 45. INVERSE VARIATION y varies inversely as x. If y = 20 when x = 12, find y when x = 45. METHOD #1: Find Constant of Variation

y varies inversely as x. If y = 20 when INVERSE VARIATION y varies inversely as x. If y = 20 when x = 12, find y when x = 45. METHOD #1: Product Rule

y varies inversely as x. If y = 10 when x = 6, find y when x = 12. INVERSE VARIATION FLASH CARDS y varies inversely as x. If y = 10 when x = 6, find y when x = 12. x is twice as large, so….? y = 5

y varies inversely as x. If y = 8 when x = 20, find y when x = 10. INVERSE VARIATION FLASH CARDS y varies inversely as x. If y = 8 when x = 20, find y when x = 10. x is half as large, so….? y = 16

y varies inversely as x. If y = 12 when x = 18, find y when x = 15. INVERSE VARIATION FLASH CARDS y varies inversely as x. If y = 12 when x = 18, find y when x = 15. Calculators? Nearest tenth! y = 14.4

y varies inversely as x. If y = 13 when x = 31, find y when x = 14. INVERSE VARIATION FLASH CARDS y varies inversely as x. If y = 13 when x = 31, find y when x = 14. Calculators? Nearest tenth! y = 28.8

A ratio of two polynomial expressions is called a RATIONAL EXPRESSION. RATIONAL EXPRESSIONS A ratio of two polynomial expressions is called a RATIONAL EXPRESSION. EXAMPLES

You might call it “cancelling” or “reducing” RATIONAL EXPRESSIONS To simplify a rational expression, divide the numerator and denominator by their GCF. You might call it “cancelling” or “reducing”

RATIONAL EXPRESSIONS To simplify a rational expression, divide the numerator and denominator by their GCF. Excluded Values?

RATIONAL EXPRESSIONS EXCLUDED VALUES are values of x that make the expression undefined… …in other words, turns the denominator equal to zero… …and division by zero is undefined.

State the excluded values for: Set denominator equal to zero and solve RATIONAL EXPRESSIONS State the excluded values for: Set denominator equal to zero and solve

State the excluded values for: Set denominator equal to zero and solve RATIONAL EXPRESSIONS State the excluded values for: Set denominator equal to zero and solve

State the excluded values for: Set denominator equal to zero and solve RATIONAL EXPRESSIONS State the excluded values for: Set denominator equal to zero and solve

Simplify each expression and state the excluded values RATIONAL EXPRESSIONS Simplify each expression and state the excluded values

Simplify each expression and state the excluded values RATIONAL EXPRESSIONS Simplify each expression and state the excluded values

RATIONAL EXPRESSIONS TRY THIS ONE

RATIONAL EXPRESSIONS MORE PRACTICE

RATIONAL EXPRESSIONS MORE PRACTICE

RATIONAL EXPRESSIONS MORE PRACTICE