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Five-Minute Check (over Lesson 2-3) Main Ideas and Vocabulary Targeted TEKS Example 1: Solve Using Addition and Division Example 2: Solve Using Multiplication and Addition Example 3: Write and Solve a Multi-Step Equation Example 4: Solve a Consecutive Integer Problem. Lesson 4 Menu.
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Five-Minute Check (over Lesson 2-3) Main Ideas and Vocabulary Targeted TEKS Example 1: Solve Using Addition and Division Example 2: Solve Using Multiplication and Addition Example 3: Write and Solve a Multi-Step Equation Example 4: Solve a Consecutive Integer Problem Lesson 4 Menu
Solve equations involving more than one operation. • Solve consecutive integer problems. • multi-step equations • consecutive integers • number theory Lesson 4 MI/Vocab
Solve Using Addition and Division Solve 5q –13 = 37. Check your solution. 5q – 13 = 37 Original equation 5q – 13 + 13 = 37 + 13 Add 13 to each side. 5q = 50 Simplify. Divide each side by 5. Answer:q = 10 Simplify. To check, substitute 10 for q in the original equation. Lesson 4 Ex1
Solve 4a – 42 = 14. • A • B • C • D A. –14 B. 14 C. –7 D. 7 Lesson 4 CYP1
Solve Using Multiplication and Addition Original equation Add 9 to each side. Simplify. Multiply each side by 12. Answer:s = –24 Simplify. Lesson 4 Ex2
A • B • C • D A. 3 B. 21 C. 12 D. –6 Lesson 4 CYP2
SHOPPINGSusan had a $10 coupon for the purchase of any item. She bought a coat that was its original price. After using the coupon, Susan paid $125 for the coat before taxes. What was the original price of the coat? Write an equation for the problem. Then solve the equation. Equation – 10 = 125 Write and Solve a Multi-Step Equation Words One-half of the price minus ten dollars is 125. Variable Let p = the original price. Lesson 4 Ex3
Write and Solve a Multi-Step Equation Original equation Add 10 to each side. Simplify. Multiply each side by 2. p = 270 Simplify Answer: The solution is $270. Lesson 4 Ex3
A.–13 B.–15 C. D.7 Three-fourths of seven subtracted from a number is negative fifteen. What is the number? • A • B • C • D Lesson 4 CYP3
Solve a Consecutive Integer Problem NUMBER THEORYWrite an equation for the problem below. Then solve the equation and answer the problem. Find three consecutive odd integers whose sum is 57. Let n = the least odd integer. Let n + 2 = the next greater odd integer. Let n + 4 = the greatest of the three odd integers. The sum of three consecutive odd integers is 57. n + (n + 2) + (n + 4) = 57 Lesson 4 Ex4
Solve a Consecutive Integer Problem n + (n + 2) + (n + 4) = 57 Original equation 3n + 6 = 57 Simplify. 3n + 6 – 6 = 57 – 6 Subtract 6 from each side. 3n = 51 Simplify. Divide each side by 3. n = 17 Simplify n + 2 = 17 + 2 or 19 n + 4 = 17 + 4 or 21 Answer: The consecutive odd integers are 17, 19, and 21. Lesson 4 Ex4
Find three consecutive even integers whose sum is 84. • A • B • C • D A. 28, 30, 32 B. 26, 28, 30 C. 20, 20, 24 D. 40, 20, 24 Lesson 4 CYP4