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MAT 150 Algebra – Class #5 Topics: Solving Linear Equations Solve Real-World Application Solve Literal Equations Solve Direct Variation Problems

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Page 2: MAT 150 Algebra – Class #5 Topics: Solving Linear Equations Solve Real-World Application Solve Literal Equations Solve Direct Variation Problems

Warm-Up

B. What is the value of x if ?

Page 3: MAT 150 Algebra – Class #5 Topics: Solving Linear Equations Solve Real-World Application Solve Literal Equations Solve Direct Variation Problems

Solving Multi-Step EquationsSteps:• Simplify everything

you can:▫ Get rid of

parenthesis.▫ Combine like terms

on either side of the equal sign.

• If there is more than one x left, get rid of one of them.

• Follow SADMEP• Check your solution

Solve:

Page 4: MAT 150 Algebra – Class #5 Topics: Solving Linear Equations Solve Real-World Application Solve Literal Equations Solve Direct Variation Problems

Solving Equations with Fractions•Solve:

•Solve:

Simplifyo Get rid of

parenthesis. Multiply ALL terms

by the lowest common denominator.

Continue Simplifyingo Combine like terms

on either side of the equal sign.

If there is more than one x left, get rid of one of them.

Follow SADMEP

Page 5: MAT 150 Algebra – Class #5 Topics: Solving Linear Equations Solve Real-World Application Solve Literal Equations Solve Direct Variation Problems

Credit Card Debt

It is hard for some people to pay off credit card debt in a reasonable period of time because of high interest rates. The interest paid on a $10,000 debt over 3 years is approximated by dollars when the interest rate is x%. What is the interest rate if the interest is $1637.60?

Page 6: MAT 150 Algebra – Class #5 Topics: Solving Linear Equations Solve Real-World Application Solve Literal Equations Solve Direct Variation Problems

Relationship Among x-Intercepts, Zeros and Solutions For the function •The zero of •The x-intercept of the graph y•The solution to the equation 22x - 264 =

0

Page 7: MAT 150 Algebra – Class #5 Topics: Solving Linear Equations Solve Real-World Application Solve Literal Equations Solve Direct Variation Problems

Solving Literal Equations

Simple Interest:

The formula for the future value of an investment of P dollars at simple interest rate r for t years is . Solve the formula for t, the years.

Page 8: MAT 150 Algebra – Class #5 Topics: Solving Linear Equations Solve Real-World Application Solve Literal Equations Solve Direct Variation Problems

Solving Literal Equations

To find the Surface Area of a cylinder is given by , where r is the radius and h is the height. Solve the formula for h, the height.

Page 9: MAT 150 Algebra – Class #5 Topics: Solving Linear Equations Solve Real-World Application Solve Literal Equations Solve Direct Variation Problems

Assignment

Pg. 99-102

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