Solving Two-Step Equations

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Presentation transcript:

Solving Two-Step Equations Lesson 20 Introductory Algebra Solving Two-Step Equations

Warm-Up Solve each equation. Show all work and check your solution. 100 = x + 76 15a = 60 k – 0.84 = 1.1 The base of a triangle is 4 feet. The area of the triangle is 9 square feet. What is the height of the triangle? The area of a rectangle is 400 square feet. Its width is 8 feet. What is the length of the rectangle?

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

Vocabulary Two-step Equation: An equation with two different operations.

Example 1 Solve each equation. Check the solution. 7x – 3 = 74 +3 +3 +3 +3 7x = 77 7 7 x = 11 7(11) – 3 = 74 77 – 3 = 74

Example 2a Write an equation for the statement. Solve the problem and check the solution. Three times a number x increased by 8 is 29. 3x + 8 = 29 – 8 – 8 3x = 21 3 3 x = 7 3(7) + 8 = 21 + 8 = 29

Example 2b Write an equation for the statement. Solve the problem and check the solution. Twice a number x minus 7 is 5. 2x – 7 = 5 +7 +7 2x = 12 2 2 x = 6 2(6) – 7 = 12 – 7 = 5

Example 3 John and Erin shared a bag of chocolate candies. John ate five fewer than three times as many candies as Erin ate. If John ate 43 candies, how many candies did Erin eat? Equation: 3c – 5 = 43 + 5 +5 3c = 48 3 3 c = 16 Erin ate 16 candies.

Exit Problems Solve for x. Check your solution. 3x + 1 = 19

Communication Prompt What do you think are the most common mistakes students make when solving equations? Why do you think that?