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How to Create an Equation Key Concept: How to translate word problems into algebraic equations. STEPS: 1) ________ the problem and assign a ____________ for the unknown. 2) __________ down what the variable ______________. 3) Re-read the problem and __________ ____ _________ for the quantities given. 4) Solve the equation and ___________ the ____________. 5) __________ the final answer to the _____________ posed in the original problem.
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Warm Up 1) 2)
Creating Equations
Essential Question: How do you create an algebraic equation
from a word problem?
How to Create an Equation
Key Concept: How to translate word problems into algebraic equations.STEPS:1) ________ the problem and assign a ____________ for the unknown.2) __________ down what the variable ______________.3) Re-read the problem and __________ ____ _________ for the quantities given.4) Solve the equation and ___________ the ____________.5) __________ the final answer to the _____________ posed in the original problem.
Example 1 A number “x” increased by 5 is 19.
Example 2 A number y decreased by 11 is 4.
Example 3The product of b and 5 is 45.
Example 4The quotient of n and 6 is 6.
Example 5How many packages of potato chips can you purchase if you have $48 and each package costs $3? Answer in a sentence.
Example 6Last Friday, Johnny had $28. He received some money over the weekend for cleaning the attic. He now has $42. How much money did he receive? Answer in a sentence.
Example 7At a restaurant, Sally and her three friends decided to divide the bill evenly. If each person paid $13, then how much was the total bill? Answer in a sentence.
Example 8 (Write and Solve)
Five more than twice a number “x” is nineteen.
Example 9 (Write and Solve)
The difference of four times a number y and ten is fourteen.
Example 10 (Write and Solve)
Three increased by the quotient of a number n and five is the same as seven
Example 11 (Write and Solve)
The cost of renting a bike is $10 plus $4 for every hour used. If Sally spent a total of $30, how many hours did she use the bike? Answer in a sentence.
Example 12 (Write and Solve)
Jackie won 40 super bouncy balls at her school’s game night. Later, she gave two to each of her friends. She only has 8 remaining. How many friends does she have? Answer in a sentence.
Example 13 (Write and Solve)
Johnny spent half of his weekly allowance playing mini-golf. To earn more money, his parents paid him $4 to wash the car. What is his weekly allowance if he ended with $12? Answer in a sentence
