Writing and Solving Linear Equations Madison Houser

Expression vs. Equation A linear expression is a combination of terms where the highest power of the variable is 1 3x+4 5x+9 An equation is a statement in which the value of 2 expressions are equal 3x+4 = 5x+6

Words that Mean “Equal” Is Are Was Were Will be Gives Yields Spent Total of Sold for There are other words that aren’t on here

Step 1: Define the Problem Read the problem carefully - Read a few times before you start Defining Bennett and his friends decide to go bowling. The cost for the group is $15 for shoe rentals plus $4 per game. If they spent $47, how many games did they pay for? Identify what you are trying to find How many games did the group pay for? Determine what information is available to help you find it. $15 for shoes for the entire group $4 per game They spent $47

Step 2: Assign Variables Choose a variable to assign to an unknown quantity in the problem. Use g to represent the cost per game If other unknown quantities exist, express them in terms of the selected variables. No other unknowns

Step 3: Translate into an Equation Use the relationships among the known and unknown quantities to form an equation. Bennett and his friends decide to go bowling. The cost for the group is $15 for shoe rentals plus $4 per game. If they spent $47, how many games did they pay for? The relationships will be referred to in terms of operations: Addition Subtraction Multiplication Division 4g + 15 = 47

You try! The Ace Telephone Co. charges a flat monthly fee of $22.00 for a telephone line and $0.20 per minute for long distance calls. If you want to spend $27 for one month how many long distance minutes can you use per month? Equation: 0.20m + 22 = 27

Step 4: Solve the Equation Determine the value of the variable 4g + 15 = 47 Use the result to find any other unknown quantities in the problem.

Step 5: Check the Reasonableness of Your Answer Check to see if your answer makes sense within the context of the problem. If not, check your work for errors and try again.

Step 6: Answer the Question Write a clear statement that answers the question(s) posed. Bennett and his friends paid for 9 games of bowling.

You Try! Continued.. The Ace Telephone Co. charges a flat monthly fee of $22.00 for a telephone line and $0.20 per minute for long distance calls. If you want to spend $27 for one month how many long distance minutes can you use per month? Equation: 0.20m + 22 = 27 Solution: You can use 25 long distance minutes per month.

Other Equations to Solve 3x + 15 = x + 25 2x + 3 = 6 – (2x – 3)