Lesson 4 Linear Equations Solving OneStep Equations WarmUp















- Slides: 15

Lesson 4 Linear Equations Solving One-Step Equations

Warm-Up Evaluate each expression for x = − 4. 1. x+7 2. 3 x − 1 3. −x 4. x 2

Solving One-Step Equations Target: Use inverse operations to solve one-step equations.

The Properties of Equality For any numbers a, b and c: � If a = b then a + c = b + c (Addition Property of Equality) � If a = b then a – c = b – c (Subtraction Property of Equality) � If a = b then a ∙ c = b ∙ c (Multiplication Property of Equality) � If a = b then a ÷ c = b ÷ c (Division Property of Equality)

Vocabulary � Zero Pair: One positive integer chip paired with one negative integer chip. � Inverse Operation: Operations that undo each other.



Example 1 ab Solve for x. Check your solution. �x – 6 = 22 +6 +6 x = 28 28 – 6 = 22 � 8 x = 88 8 8 x = 11 8(11) = 88

Example 1 cd Solve for x. Check your solution. �x + 10 = – 7 – 10 x = – 17 (– 17) + 10 = – 7

Example 2 a Write an equation for the statement. Solve the equation and check your solution. The product of eleven and a number is seventy-seven. 11 x = 77 11 11 x=7 11(7) = 77

Example 2 b Write an equation for the statement. Solve the equation and check your solution. The sum of a number and 52 is 98. x + 52 = 98 – 52 x = 46 46 + 52 = 98

Example 2 c Write an equation for the statement. Solve the equation and check your solution. A number decreased by 13 is 214. x – 13 = 214 + 13 x = 227 – 13 = 214

Example 3 The sum of Kirk’s age and his dad’s age is 53. Kirk is 14. Write an equation that represents this situation using d to represent the dad’s age. Solve the equation and check your solution. 14 + d = 53 – 14 d = 39 14 + 39 = 53 Kirk’s dad is 39 years old.

Exit Problems Solve each equation for x. 1. x – 70 = 138 2. 3. 4. 11 x = 66

Communication Prompt How are manipulatives helpful when solving one-step equations?
Solving and Graphing Linear Inequalities Solving OneStep Linear
Solving and Graphing Linear Inequalities Solving OneStep Linear
Solving and Graphing Linear Inequalities Solving OneStep Linear
Solving and Graphing Linear Inequalities Solving OneStep Linear
Solving and Graphing Linear Inequalities Solving OneStep Linear
Solving and Graphing Linear Inequalities Solving OneStep Linear
Solving and Graphing Linear Inequalities Solving OneStep Linear
Solving and Graphing Linear Inequalities Solving OneStep Linear
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