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Main Idea/Vocabulary Solve equations with variables on each side.

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Example 1 Equations with Variables on Each Side Solve 7x + 4 = 9x. Check your solution. Answer: The solution is 2. Subtract 7x from each side. Write the equation. Simplify by combining like terms. Mentally divide each side by 2. To check your solution, replace x with 2 in the original equation. Check Write the equation. Replace x with 2. The sentence is true. ?

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1.A 2.B 3.C 4.D Example 1 A.–5 B.–3 C.–1 D.1 Solve 3x + 6 = x. Check your solution.

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Example 2 Equations with Variables on Each Side Solve 3x – 2 = 8x Check your solution. Write the equation. Subtract 8x from each side. Simplify. Add 2 to each side. Simplify. Mentally divide each side by –5. To check your solution, replace x with –3 in the original equation.

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Example 2 Equations with Variables on Each Side Answer: The solution is –3. Check 3x – 2=8x + 13Write the equation. 3(–3) – 2=8(–3) + 13Replace x with –3. – 11=–11The sentence is true.

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1.A 2.B 3.C 4.D Example 2 A.–4 B.–7 C.–10 D.–12 Solve 4x – 3 = 5x + 7.

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Example 3 MEASUREMENT The measure of an angle is 8 degrees more than its complement. If x represents the measure of the angle and 90 – x represents the measure of its complement, what is the measure of the angle? WordsThe measure of an angle equals the measure of its complement plus 8. VariableLet x and 90 – x represent the measure of the angles. Equationx = 90 – x + 8

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Example 3 x = 90 – x + 8Write the equation. x = 98 – xSimplify. x + x = 98 – x + xAdd x to each side. 2x = 98 Answer: The measure of the angle is 49 degrees. Divide each side by 2. x = 49

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1.A 2.B 3.C 4.D Example 3 A.39 degrees B.42 degrees C.47 degrees D.51 degrees MEASUREMENT The measure of an angle is 12 degrees less than its complement. If x represents the measure of the angle and 90 – x represents the measure of its complement, what is the measure of the angle?

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1.A 2.B 3.C 4.D Five Minute Check 1 A.3 – n = 10; 7 B.3 – n = 10; –7 C.3n – 5 = 10; –5 D.3n – 5 = 10; 5 Translate the sentence into an equation. Then find the number. The difference of three times a number and 5 is 10. (over Lesson 8-3)

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1.A 2.B 3.C 4.D Five Minute Check 2 Translate the sentence into an equation. Then find the number. Three more than four times a number equals 27. (over Lesson 8-3) A.4n + 3 = 27; 6 B.3 – 4n = 27; –6 C. D.

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1.A 2.B 3.C 4.D Five Minute Check 3 Translate the sentence into an equation. Then find the number. Nine more than seven times a number is 58. (over Lesson 8-3) A. B.7n + 9 = 58; 7 C. D.

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1.A 2.B 3.C 4.D Five Minute Check 4 Translate the sentence into an equation. Then find the number. Four less than the quotient of a number and three equals 14. (over Lesson 8-3) A. B. C. D.

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1.A 2.B 3.C 4.D Five Minute Check 5 A.$2.33 B.$3.20 C.$3.61 D.$6.50 Jared went to a photographer and purchased one 8 x 10 portrait. He also purchased 20 wallet-sized pictures. Jared spent $97 in all, and the 8 x 10 cost $33. How much is each of the wallet-sized photos? (over Lesson 8-3)

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1.A 2.B 3.C 4.D Five Minute Check 6 A.35 B.55 C.70 D.105 What is the value of x in the trapezoid? (over Lesson 8-3)

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