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