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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.

EX 1) Check your answer. Check EX2) Check your answer. Check

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.

EX3) Check your answer. Check Check your answer. EX4)

EX5) Check your answer. Check Check your answer. 150 is a solution. EX6) Check

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

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