Solving Equations and Inequalities Chapter 7 Solving TwoStep

Solving Equations and Inequalities Chapter 7

Solving Two-Step Equations continued… Do the inverse operation for addition or subtraction first. Do the inverse operation of multiplication or division last.

Steps for Solving a Multi-Step Equation Step 1: Use the Distributive Property, if necessary. Step 2: Combine like terms. Step 3: Undo addition or subtraction. Step 4: Undo multiplication or division. Let’s Practice

Solving Multi-Step Equations with Fractions 4 x=12 5 -7 k+14=-21 10 Examples 2 n-6=22 3 1 x+3=2 4

Quick Check Solve each equation: a. -7 + y = 1 12 6 b. 1 b – 1 = 5 3 6 c. 1. 5 x – 3. 6 = 2. 4 d. 1. 06 p – 3 = 0. 71

1. 6 Solving Inequalities

Solving Inequalities ● Solving inequalities follows the same procedures as solving equations. ● There a few special things to consider with inequalities: ● We need to look carefully at the inequality sign. ● We also need to graph the solution set.

Solving Inequalities Review of Inequality Signs > greater than < less than greater than or equal less than or equal

How to graph the solutions > Graph any number greater than. . . open circle, line to the right < Graph any number less than. . . open circle, line to the left Graph any number greater than or equal to. . . closed circle, line to the right Graph any number less than or equal to. . . closed circle, line to the left

Solve the inequality: x+4<7 -4 -4 x < 3 ●Subtract 4 from each side. ●Keep the same inequality sign. ●Graph the solution. • Open circle, line to the left. 0 3

Example: Solve: -3 y + 5 >23 ●Subtract 5 from each side. -5 -5 -3 y > 18 -3 -3 ●Divide each side by negative 3. y < -6 ●Reverse the inequality sign. ●Graph the solution. • Open circle, line to the left. -6 0

Try these: ● Solve 2 x+3>x+5 ● Solve - c - 11>23 ● Solve 3(r-2)<2 r+4