UEN Security Office
Technical Services Support Center (TSSC)
Eccles Broadcast Center
101 Wasatch Drive
Salt Lake City, UT 84112
(801) 585-6105 (fax)
Main Curriculum Tie:
Background For Teachers:
Linear equations with one variable have only one solution. To find the solution, first simplify by using the properties and the order of operations to rewrite without grouping symbols and to collect like terms. Then isolate the variable by using inverse operations. Addition and subtraction are inverse operations; multiplication and division are inverse operations.
When you solve a two-step equation, whether modeling with tiles or using algebraic
properties, you get the variable alone on one side of the equation by reversing
the order of operations.
Intended Learning Outcomes:
Call on students to share their step-by-step instructions. Discuss the importance of completing one step before moving on to the next.
Many math problems need to be handled in a step-by-step method as well.
Economics example—Carmela wants to buy a digital camera for $249. She has $24 and is saving $15 each week. Solve the equation $15w + $24 = $249 to find how many weeks she will take to save enough to buy the camera. (answer: 15 weeks)
Nutrition example—A soccer player wants to eat 800 calories
at a meal that includes a roast beef sandwich and potato chips. The sandwich
has 570 calories and the potato chips have 23 calories each. Solve the equation
570 + 23p = 800 to find the number of potato chips the soccer player can eat.
(answer: 10 chips)
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