EXAMPLE 1 Solve a two-step equation Solve + 5 = 11. x 2 Write original equation. + 5 = x 2 11 + 5 – 5 = x 2 11 – 5 Subtract 5 from each side. = x 2 6 Simplify.

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Presentation transcript:

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

EXAMPLE 1 Solve a two-step equation CHECK + 5 = x 2 11 Write original equation = 12 2 ? Substitute 12 for x. Simplify. Solution checks. 11 = 11 

GUIDED PRACTICE for Example 1 Solve the equation. Check your solution. 1. 5x + 9 = 24 SOLUTION 5x + 9 = 24 Write original equation. 5x + 9 – 9 = 24 – 9 Subtract 9 from each side. 5x = 15 Simplify. 5x5x 3 = 15 3 Divide each side by 5 x = 3 Simplify.

GUIDED PRACTICE for Example 1 CHECK Simplify. Solution check. Substitute 3 for x. ANSWER The solution is 3. Check by substituting 3 for x in the original equation. 5x + 9 = 24 Write original equation = ? 24 = 24

GUIDED PRACTICE for Example 1 Solve the equation. Check your solution. 2. 4y – 4 = 16 SOLUTION 4y – 4 = 16 Write original equation. 4y – = Add 4 to each side 4y = 20 Simplify. 4y4y = Divide each side by 4. y =5 Simplify.

GUIDED PRACTICE for Example 1 ANSWER The solution is 5. Check by substituting 5 for y in the original equation. CHECK Simplify. Solution checks. Substitute 5 for y. 4y – 4 = 16 Write original equation. 16 4(5) – 4 = ? 16 = 16

GUIDED PRACTICE for Example 1 Solve the equation. Check your solution. SOLUTION Write original equation. Add 7 to each side. Simplify. Multiply each side by 3. Simplify. 3. – 1 = –7 z 3 – 1 = z 3 – 7– = z 3 – = z 3 3 z = z

GUIDED PRACTICE for Example 1 ANSWER The solution is 18. Check by substituting 18 for z in the original equation. CHECK Simplify. Solution checks. Substitute 18 for z. Write original equation. – 1 = z 3 – – 7– 1 = ? – 1

Lesson 3.2, For use with pages Solve the equation. 3. Simplify the expression 3 ( x + 2 ) – 4x + 1. ANSWER –x There are three times as many goats as sheep in a petting zoo. Find the number of sheep if the total number of goats and sheep is 28. ANSWER 7 sheep GUIDED PRACTICE for Example 1