Two-Step Equations to Solve Real-World Problems PDF

Summary

This document contains practice questions on two-step equations to solve real-world problems. The questions involve finding the original price of an item, calculating the number of penalty spaces, and determining the length of a side of an octagon. These problems are suitable for secondary school students.

Full Transcript

Apply Two-Step Equations to Solve Real-World Problems Lesson 7-4: Standard: Algebra Q1: Lila buys a pair of shoes and a scarf at 5% off. The original price of the shoes is $50. Her total discount is $12.50. Write and solve an equation to find the original price of the scarf. Equation: 0.05x(50+x)=1...

Apply Two-Step Equations to Solve Real-World Problems Lesson 7-4: Standard: Algebra Q1: Lila buys a pair of shoes and a scarf at 5% off. The original price of the shoes is $50. Her total discount is $12.50. Write and solve an equation to find the original price of the scarf. Equation: 0.05x(50+x)=12.50. Q2: Jake buys a pair of sunglasses and a wallet at 15% off. The original price of the sunglasses is $30. His total discount is $6.75. Write and solve an equation to find the original price of the wallet. Q3: Sam is playing a board game. He starts with 80 points but loses 5 points every time he lands on a penalty space. His final score is 45 points. Write and solve an equation to find out how many penalty spaces Sam landed on. Equation: 80−5x = 45 Q4: Emma is playing a video game. She scores 120 points but loses 8 points every time she hits an obstacle. Her final score is 56 points. Write and solve an equation to find out how many obstacles she hit. Q5: A regular octagon has sides of length x+5x and a perimeter of 104 inches. Write and solve an equation to find x. How long is one side of the octagon?

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