Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–2) Main Idea and Vocabulary Example 1:Solve an Equation by Subtracting Example 2:Solve an.

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Splash Screen

Lesson Menu Five-Minute Check (over Lesson 12–2) Main Idea and Vocabulary Example 1:Solve an Equation by Subtracting Example 2:Solve an Equation Using Zero Pairs Key Concept: Subtraction Property of Equality Example 3:Use an Equation to Solve a Problem

Main Idea/Vocabulary inverse operations Solve addition equations. Subtraction Property of Equality

Example 1 Solve an Equation By Subtracting Solve x + 4 = 5. Method 1Use models. Model the equation. Remove 4 counters from each side.

Example 1 Solve an Equation By Subtracting Method 2 Use symbols. Answer: The solution is 1. 5 – 4 = 1 x + 4 = 5Write the equation. x = 1 – 4 = – 4Subtract 4 from each side to “undo” the addition of 4 on the left. Check = 5

1.A 2.B 3.C 4.D Example 1 A.x = – 20 B.x = – 6 C.x = 6 D.x = 20 Solve x + 7 = 13.

Example 2 Solve an Equation Using Zero Pairs Solve x + 11 = 7. Check your solution. Method 1Use models.

Example 2 Solve an Equation Using Zero Pairs

Example 2 Solve an Equation Using Zero Pairs Method 2 Use symbols. Check Write the equation. Replace x with –4. This sentence is true. x + 11 = 7 7 = 7 – = 7 ? Answer: The solution is –4. x + 11 = 7Write the equation. x = – 4 – 11 = – 11Subtract 11 from each side.

1.A 2.B 3.C 4.D Example 2 A.m = –12 B.m = –6 C.m = 6 D.m = 12 Solve m + 9 = 3.

KC

Example 3 PENNSYLVANIA The width of Pennsylvania (from north to south) is 280 miles. This is 120 miles more than the length of the state (from east to west). Write and solve an addition equation to find the length of Pennsylvania. Use an Equation to Solve a Problem Wordslength plus 120 miles is 280 miles VariableLet x represent the length of Pennsylvania. Equationx = 280

Example 3 Answer: So, the length of Pennsylvania is 160 miles. Use an Equation to Solve a Problem x + 120=280Write the equation. x= – 120 = 160 – 120=–120Subtract 120 from each side.

1.A 2.B 3.C 4.D Example 3 A.15 – t = 40; 20 minutes B.15 + t = 40; 25 minutes C.40 + t = 15; 25 minutes D.40 – t = 15; 55 minutes INTERNET Steve was on the Internet for 40 minutes last night. This was 15 more minutes than Beth spent on the Internet the same night. Write and solve an addition equation to find the amount of time Beth spent on the Internet last night.

End of the Lesson

Resources Five-Minute Check (over Lesson 12–2) Image Bank Math Tools Solving Equations Using Addition and Subtraction

1.A 2.B 3.C 4.D Five Minute Check 1 (over Lesson 12-2) A.7x + 14 B.9 + x C.9 – x D.14 + x Simplify 7 + (x + 2).

1.A 2.B 3.C 4.D Five Minute Check 2 (over Lesson 12-2) A.4x ● 16 B.4x ● 4 C.16x D.8x Simplify (x ● 4) ● 4.

1.A 2.B 3.C 4.D Five Minute Check 3 (over Lesson 12-2) A.54x B.15x C.6x ● 9 D.54 + x Simplify 9(6x).

1.A 2.B 3.C 4.D Five Minute Check 4 (over Lesson 12-2) A.9x B.8x + 2 C.7x + 2 D.6x + 2 Simplify 7x x.

1.A 2.B 3.C 4.D Five Minute Check 5 (over Lesson 12-2) A.8x B.16x C.0 D.16x 2 Simplify 4x + 4x.

1.A 2.B 3.C 4.D Five Minute Check 6 (over Lesson 12-2) A.8x B.8x 2 C.6x + 3 D.15x 2 Simplify x x.

1.A 2.B 3.C 4.D Five Minute Check 7 (over Lesson 12-2) A.5x and 7 are like terms. B.The simplified form of the expression is 5x + 9. C.5x and 2x are like terms. D.The simplified form of the expression is 14x. Which of the following is true concerning the expression 5x x?

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