3-1 HW:Pg. 137-140 #4-28eoe, 30-48e, 55, 61, 64-66.

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Presentation transcript:

3-1 HW:Pg. 137-140 #4-28eoe, 30-48e, 55, 61, 64-66

64.) C 65.) C 66.) D

REMEMBER: opposite operation Always do the _________________________ and SHOW WORK on _____________ of the equation. Inverse operations: both sides addition & subtraction multiplication & division

Solve a two-step equation EXAMPLE 1 Solve a two-step equation Solve + 5 = 11. x 2 – 5 Subtract 5 from each side. = x 2 6 Simplify. 2 = x 2 2 6 Multiply each side by 2. x = 12 Simplify. ANSWER The solution is 12. Check by substituting 12 for x in the original equation. + 5 = x 2 11 Write original equation. CHECK 11 + 5 = 12 2 ? Substitute 12 for x. 11 = 11 Simplify. Solution checks.

GUIDED PRACTICE for Example 1 Solve the equation. Check your solution. 1. 5x + 9 = 24 3 ANSWER 2. 4y – 4 = 16 5 ANSWER 3. –1 = – 7 z 3 18 ANSWER

Solve a two-step equation by combining like terms EXAMPLE 2 & 3 Find an input of a function EX 2: Solve 7x – 4x = 21 3x = 21 Combine like terms. 3 Divide each side by 3. x = 7 Simplify. EX 3: The output of a function is 3 less than 5 times the input. Find the input when the output is 17. SOLUTION Write an equation for the function. Let x be the input and y be the output STEP 1 y = 5x – 3 Solve the equation for x when y = 17. STEP 2 17 = 5x – 3 Substitute 17 for y. + 3 + 3 Add 3 to each side. = 5 20 5x Simplify. Divide each side by 5. 4 = x Simplify. ANSWER An input of 4 produces an output of 17.

Find an input of a function EXAMPLE 3 Find an input of a function CHECK y = 5x – 3 Write original function. 17 = 5(4) – 3 ? Substitute 17 for y and 4 for x. 17 = 20 – 3 ? Multiply 5 and 4. 17 = 17 Simplify. Solution checks.

GUIDED PRACTICE for Examples 2 and 3 Solve the equation. Check your solution. 4. 4w + 2w = 24 4 ANSWER 5. 8t – 3t = 35 7 ANSWER 6. –16 = 5d – 9d 4 ANSWER 7. The output of a function is 5 more than –2 times the input. Find the input when the output is 11. ANSWER –3 8. The output of a function is 4 less than 4 times the input. Find the input when the output is 3 ANSWER 3 4 1

Check Yourself Pg. 144-146 #4-34e, 38, 40, 46-47