Solving Two-Step Equations

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Presentation transcript:

Solving Two-Step Equations Lesson 5 Linear Equations Solving Two-Step Equations

Warm-Up Write an equation for each statement and solve to determine the unknown number. The sum of a number and twenty is eighty-seven. The quotient of a number and four is negative six. A number decreased by three tenths is one and two tenths.

Solving Two-Step Equations Target: Solve two-step equations.

Example 1 Solve the equation for x. Check the solution. 8x – 3 = 85 + 3 + 3 8x = 88 8 8 x = 11 8(11) – 3 = 88 – 3 = 85

Example 2 Solve the equation for x. Check the solution.

Example 3 Use an equation mat to illustrate and solve the equation Set up the mat. Add four positive chips. Divide into equal groups. Solution: x = 5

Example 4 Eight more than 3 times a number is 29. Write and solve an equation to find the value of the number. 3x + 8 = 29 – 8 – 8 3x = 21 3 3 x = 7 3(7) + 8 = 21 + 8 = 29

Exit Problems Solve each equation for x. 4x + 5 = 49 5 – 2x = 25

Communication Prompt Why is it important to show your work and check your solution when solving an equation?