Lesson Menu Main Idea NGSSS Example 1:Write an Algebraic Equation Example 2:Real-World Example Example 3:Real-World Example Five-Minute Check
Main Idea/Vocabulary Write algebraic equations from verbal sentences and problem situations.
NGSSS Preparation for MA.8.A.4.2 Solve and graph one- and two-step inequalities in one variable.
Example 1 Write an Algebraic Equation MONEY The cost of a book purchased online plus $5 shipping and handling comes to a total of $29. Write an equation to find the cost of the book. Answer: b + 5 = 29
Example 1 CYP A.s – 11 = 92 B.s + 11 = 92 C = s D.11s = 92 MUSIC On Friday, Jordan downloaded 11 songs to his MP3 player. He then had a total of 92 songs. Write an equation to find the number of songs s he had on his MP3 player before he downloaded the songs on Friday.
Example 2 TRAVEL Morgan is driving to his sister’s home. He has 174 miles to go after dinner. He has driven 532 miles. Define a variable. Then write an equation that could be used to find the distance of the whole trip. Answer: n – 532 = 174; n = total distance
Example 2 CYP A.m – 13 = 22 B.22 – m = 13 C.m + 13 = 22 D.13m = 22 PARTY PLANNING Marissa spent $13 at the party supply store. She had $22 left. Write an equation that could be used to find how much money m she had before she went to the store.
Example 3 MONEY The eighth grade has $35 less in its treasury than the seventh-grade treasury. Given s, the number of dollars in the seventh-grade treasury, write an equation that can be used to find e, the number of dollars in the eighth-grade treasury. Answer: e = s – 35
Example 3 CYP A.s + f = 84 B.s = f – 84 C.s = f + 84 D.f = s + 84 MONEY At their second fundraiser, the Girl Scout troop raised $84 more than their first fundraiser. Given f, the amount raised at the first fundraiser, write an equation that can be used to find s, the amount raised at the second fundraiser.
A.m = Mary’s age; 5m = 12 B.m = Mary’s age; m − 5 = 12 C.b = Bryan’s age; b + 12 = 5 D.b = Bryan’s age; 5m = 12 Define a variable. Then write an equation to model the situation. Bryan is five years younger than Mary. If Bryan is twelve years old, write an equation that could be used to find Mary’s age. Five Minute Check 1
Define a variable. Then write an equation to model the situation. Sylvia’s grandmother gave her money for her birthday. Half of Sylvia’s money went for new running shoes for track season. If Sylvia spent $50 on shoes, write a division equation that could be used to find the total amount of money her grandmother gave her for her birthday. Five Minute Check 2 __ 1 2 A.b = money given to Sylvia; b ÷ 2 = $50 B.b = money given to Sylvia; 2b = $50 C.b = money given to Sylvia; + b = $50 D.b = money given to Sylvia; $50 ÷ 2 = b
The Huey P. Long Bridge is one of the most frequently traveled bridges in Louisiana, but it is not the longest. The Causeway Bridge is approximately 15 miles longer. The Causeway Bridge is 22 miles long. Which equation represents the length of the Huey P. Long Bridge? Five Minute Check 3 A.x = B.x + 15 = 22 C.x − 22 = 15 D.x = 22(17) ___ 22 15