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ENTRANCE TICKET

Entrance Ticket

Solve each equation. Check your solution.

1.) n + 8 = -9 6.) w/4 = -8

2.) 4 = p + 19

3.) -4 + a = 15

4.) 3c = -18

5.) -42 = -6b

LESSON OBJECTIVES

Solving One-Step Equations with Rational Coefficients

8.EE.7 -- Solve linear equations in one variable.

Lesson Outcomes

  • Solve equations with rational coefficients

UNDERLYING CONCEPT

m = 3

If you add (-1.6) to both sides of the equation, what is the new equation?

m + (-1.6) = 1.4

Is this new equation true?

What is the solution of the new equation?

SEE IT IN ACTION

Example 1 3/4c = 18

What is the coefficient in the equation?

If the coefficient was 3, what would be the first step in solving the equation?

Using that theory, what is the first step in solving this equation?

Dividing by 3/4 is the same as multiplying by what number?

Complete page 112, a - d.

Example 2 1 1/2s = 16 1/2

What is the coefficient in the equation?

What is 1 1/2 written as an improper fraction?

What is the multiplicative inverse of 3/2?

Multiply both sides of the equation by that number.

Complete page 113, d-f.

Example 3 3.15 = 0.45n

What is the coefficient in the equation?

What is the first step in solving the equation?

Complete page 113, g - i.

Example 4 Word Problem

Latoya's softball team won 75%, or 18, of its games. Define a variable. Then write and solve an equation to determine the number of games the team played.

What is 75% written as a decimal?

What equation would you use to solve this problem?

What is the first step in solving the equation?

Complete page 114, 1 - 5.

RECAP

Let's Summarize the Main Points of the Lesson

  • One-step equations involve one step to solve, hence the name.
  • Equations with rational coefficicents are solved by dividing both sides of the equation by the coefficent.
  • If the coefficient is a fraction, then both sides are multiplied by the multiplicative inverse.

EXIT TICKET

Exit Ticket

Describe the first step to solving the equation -1/3y = 2.5

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