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Warm-Up Exercises 1. 2m – 6 + 4m = 12 ANSWER 6 Solve the equation. 2.6a – 5(a – 1) = 11 ANSWER 3.

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Presentation on theme: "Warm-Up Exercises 1. 2m – 6 + 4m = 12 ANSWER 6 Solve the equation. 2.6a – 5(a – 1) = 11 ANSWER 3."— Presentation transcript:

1 Warm-Up Exercises 1. 2m – 6 + 4m = 12 ANSWER 6 Solve the equation. 2.6a – 5(a – 1) = 11 ANSWER 3

2 Warm-Up Exercises 3. A charter bus company charges $11.25 per ticket plus a handling charge of $.50 per ticket, and a $15 fee for booking the bus. If a group pays $297 to charter a bus, how many tickets did they buy? ANSWER 24 tickets Solve the equation.

3 Warm-Up Exercises EXAMPLE 1 Solve an equation with variables on both sides 7 – 8x = 4x – 17 7 – 8x + 8x = 4x – 17 + 8x 7 = 12x – 17 24 = 12x Write original equation. Add 8x to each side. Simplify each side. Add 17 to each side. Divide each side by 12. ANSWER The solution is 2. Check by substituting 2 for x in the original equation. Solve 7 – 8x = 4x – 17. 2 = x

4 Warm-Up Exercises EXAMPLE 1 Solve an equation with variables on both sides Write original equation. Substitute 2 for x. Simplify left side. Simplify right side. Solution checks. –9 = 4(2) – 17 ? 7 – 8(2) = 4(2) – 17 ? 7 – 8x = 4x – 17 CHECK –9 = –9

5 Warm-Up Exercises EXAMPLE 2 Solve an equation with grouping symbols 1 4 (16x + 60) 9x – 5 = 9x – 5 = 4x + 15 5x – 5 = 15 5x = 20 x = 4 Write original equation. Distributive property Subtract 4x from each side. Add 5 to each side. Divide each side by 5. 9x – 5 =9x – 5 = 1 4 (16x + 60). Solve

6 Warm-Up Exercises GUIDED PRACTICE for Examples 1 and 2 2. 20 + c = 4c – 7 ANSWER 9 Solve the equation. Check your solution.

7 Warm-Up Exercises GUIDED PRACTICE for Examples 1 and 2 3. 9 – 3k = 17k – 2k Solve the equation. Check your solution. ANSWER –8

8 Warm-Up Exercises GUIDED PRACTICE for Examples 1 and 2 4. 5z – 2 = 5+3(3z – 4) Solve the equation. Check your solution. ANSWER

9 Warm-Up Exercises GUIDED PRACTICE for Examples 1 and 2 5. 3 – 4a = 5(a – 3) Solve the equation. Check your solution. ANSWER 2

10 Warm-Up Exercises GUIDED PRACTICE for Example 4 8. 9z + 12 = 9(z + 3) Solve the equation, if possible. ANSWER no solution

11 Warm-Up Exercises GUIDED PRACTICE for Example 4 9. 7w + 1 = 8w + 1 ANSWER 0 Solve the equation, if possible.

12 Warm-Up Exercises GUIDED PRACTICE for Example 4 10. 3(2a + 2) = 2(3a + 3) ANSWER identity Solve the equation, if possible.

13 Warm-Up Exercises Daily Homework Quiz Solve the equation, if possible. 3(3x + 6) = 9(x + 2)1. 7(h – 4) = 2h + 172. ANSWERThe equation is an identity. ANSWER 9 8 – 2w = 6w – 83. ANSWER 2

14 Warm-Up Exercises Daily Homework Quiz 4g + 3 = 2(2g + 3)4. ANSWERThe equation has no solution. ANSWER 5 h Bryson is looking for a repair service for general household maintenance. One service charges $75 to join the service and $30 per hour. Another service charge $45 per hour. After how many hours of service is the total cost for the two services the same ? 5.


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