 # Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y +

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Solve one step equations

You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y + z = + z x + z = y+ z Addition Property of Equality Subtraction Property of Equality 4 + 7 = 11 –3 – 3 4 + 4 = 8 You can subtract the same amount to both sides of an equation and the statement will remain true. x = y – z = – z x – z = y – z

Use inverse operations when isolating a variable. Addition and subtraction are inverse operations, which means that they “undo” each other.

EX 1) b – 7 = 2.4. Check your answer. b – 7 = 2.4 + 7 +7 b = 9.4 Check b – 7 = 24 9.4 – 7 = 2.4 ? 2.4 = 2.4 ? EX2) -0.3 + y = 21 Check your answer. -0.3 + y = 21 + 0.3 y = 21.3 Check – 0.3 + y = 21 -0.3 + 21.3 = 21 ? 21 = 21 ?

You can multiply the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 4 ( ) (4) 20 = 20 x = y z x (z) = y(z) Multiplication Property of Equality Division Property of Equality 5 + 7 = 12 3 3 4 = 4 You can divide the same amount to both sides of an equation and the statement will remain true. x = y z = z x ÷ z = y ÷ z

Like addition and subtraction, multiplication and division are inverse operations. They “undo” each other. ÷

EX3) 51 = 17x. Check your answer. 17 -3 = x Check -51 = 17x -51 = 17(-3) ? -51 = -51 ? 7.6 = 19y 19 0.4 = y Check 7.6 = 19y 7.6 = 19(0.4) ? 7.6 = 7.6 ? 7.6 = 19y. Check your answer. -51 = 17x EX4)

EX5) = 13 Check your answer. h2h2 h2h2 = 13 (2) h = 26 Check h2h2 = 13 13 = 13 26 2 ? = 13 = 30 Check your answer. X 1.5 = 30 (1.5) x = 45 Check x 1.5 = 30 30 = 30 ? 150 is a solution. 45 1.5 ? = 30 X 1.5 (2) EX6) (1.5)

Essential Question How is the process for solving one-step addition and subtraction equations like solving one-step multiplication and division equations?

Solve one step equations Date _________________

You can ______ the ______ amount to _______ sides of an equation and the statement will remain _____. 2 + 3 = 5 x = y Addition Property of Equality Subtraction Property of Equality 4 + 7 = 11 You can __________the ______ amount to _______sides of an equation and the statement will remain _________. x = y

Use inverse operations when isolating a variable. Addition and subtraction are inverse operations, which means that they “undo” each other.

You can __________ the ______ amount to ______ sides of an equation and the statement will remain ______. 2 + 3 = 5 x = y Multiplication Property of Equality Division Property of Equality 5 + 7 = 12 You can ________ the ______ amount to ______ sides of an equation and the statement will remain ______. x = y

Like addition and subtraction, multiplication and division are inverse operations. They “undo” each other.