1. Math 025 Section 6.2 Equations

2. Obj: To solve an equation of the form ax + b = c Problem: Solve 5x + 7 = -8 Solution: 5x + 7 = -8 5x = -8 – 7 5x = -15 x = -15 5 x = -3

3. Obj: To solve an equation of the form ax + b = c Problem: Solve -3x – 7 = -5 Solution: -3x – 7 = -5 -3x = -5 + 7 -3x = 2 x = 2 -3 x = - 2323

4. Obj: To solve an equation of the form ax + b = c Problem: Solve 8 – 5x = -12 Solution: -5x + 8 = -12 -5x = -12 – 8 -5x = -20 x = -20 -5 x = 4

5. Obj: To solve an equation of the form ax + b = c Problem: Solve 6.2 – 3.3x = -12.94 Solution: -3.3x + 6.2 = -12.94 -3.3x = -12.94 – 6.2 -3.3x = -19.14 x = -19.14 -3.3 x = 5.8

6. Be sure to simplify each side before continuing the solving process. Problem: Solve 2x + 4 – 5x = 10 Solution:2x + 4 – 5x = 10 -3x + 4 = 10 Simplify by combining like terms on the left side -3x = 6 x = -2 -3x = 10 – 4 collect terms x = 6 -3 divide

7. Be sure to simplify each side before continuing the solving process. Problem: Solve 12x – 5 + 3x – 8x = -33 Solution:12x – 5 + 3x – 8x = -33 7x – 5 = -33 7x = -28 x = - 4 7x = -33 + 5 x = -28 7

8. Obj: To solve an equation of the form ax + b = c Problem: Solve 3 x – 2 = -11 4 Solution: – 2 = -11 3x 4 x = -12 Multiply each term by 4 to get rid of any fractions 4 3x – 8 = -44 3x = -44 + 8 3x = -36 x = -36 3

9. Obj: To solve an equation of the form ax + b = c Problem: Solve x + = Solution: x = 2323 1212 3434 x + = 2323 1212 3434 3838 12 8x + 6 = 9 8x = 9 – 6 8x = 3

10. Problem: Solve x – = Solution: x = 4545 1212 3434 x – = 4545 1212 3434 25 16 20 16x – 10 = 15 16x = 25 16x = 15 + 10