Two-Step Equations Mrs. Book.

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Presentation transcript:

Two-Step Equations Mrs. Book

Two-Step Equations A two-step equation involves two operations. 3x – 2 = 4 Get the term with the variable alone on one side of the equation and with a coefficient of 1.

Solve the Equation 3x = 6 3x - 2 = 4 3x -2 + 2 = 4 + 2 3x -2 + 2 = 6 Add 2 to both sides to get 3x by itself 3x -2 + 2 = 4 + 2 3x -2 + 2 = 6 Simplify 3x = 6 Divide by the coefficient to get the variable by itself 3x = 6 3 3 x = 2

Check Your Answer 3x – 2 = 4 Solution to the equation; x = 2 Substitute your solution into the equation to check your answer 3 (2) – 2 = 4 6 – 2 = 4 4 = 4

Solve the equation. Check your answer.

Solve the equation. Check your answer. X = 243

Solve the equation. Check your answer. X = 3

Write an equation to model each situation. Then solve your equation. Suppose you walk at the rate of 210 ft/min. You need to walk 10,000 ft. How many more minutes will it take you to finish if you have already walked 550 ft? 210m + 550 = 10,000 m = 45

Justify each step

Essential Question How do I apply inverse operation to solve problems with fractions and decimals?