Q1W5: Solving Linear Equations With One Variable

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Q1W5: Solving Linear Equations With One Variable Pre-Algebra Q1W5: Solving Linear Equations With One Variable

Objectives I can solve linear equations in one variable. I can solve linear equations using the distributive property and collecting like terms. I can give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Note: This is week 1 of a 2 week unit.

What is a Linear Equation? Linear Equation: an equation that gives a straight line when plotted on a graph.

Examples of linear equations in one variable 4 – 2k = -5(k+7) (Next Week) Note: Linear equations have “simple variables.” (NO EXPONENTS.)

Inverse Operations

Solve using Inverse Operations

Practice: Solve for w 1. w + 3 = 4 2. r + 8 = 12 3. y + 2 = 7

Solve Using Inverse Operations

Practice: Solve for x 1. x – 4 = 20 2. b – 7 = 1 3. n – 2 = 7

Practice: Solve for x 5x = 15 7x = 28 5x = 45

Two Step Linear Equations (guided) 5x + 4 = 24 - 3 + 9x = 21 First, subtract 4; then divide by 5. First, add 3; then divide by 9.

Two Step Linear Equations (practice) 4x + 7 = 15 4x – 8 = 8

Distributive Property Sometimes, we have to use the “distributive property” to solve linear equations. Example 1: 2(x+7) = 16 Example 2: 2(3x +1) = 20

Bonus Problem- Solve 5(2x – 3) = 35 (hint: distribute, then solve)