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Unit 1: Solving Equations

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1 Unit 1: Solving Equations
I Love Equations! Math Rocks! Inverse Operate! Keep It Balanced! Mr. Weller’s THE BEST. 10 20 30 40 50

2 Identify the vocabulary word being described:
The part of an expression that does not have a variable and is being added to the variable term. Category

3 Determine the solution to the following equation:
Category

4 Determine the solution to the following equation:

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7 Identify the vocabulary term being described:
The number in an equation that is working with the variable; it’s being multiplied by the variable.

8 Determine the solution to the
following equation:

9 Determine the solution to the following equation:

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11 Define a variable to represent the unknown
Define a variable to represent the unknown. Then, set up an equation to represent and solve the problem. In Detroit the temperature is 69˚F and is rising at a rate of 2˚F per hour. In Atlanta the temperature is 84˚F and is falling at a rate of 3˚F per hour. If the temperatures continue to change at the same rates, how long will it be before the temperatures are the same?

12 Identify the vocabulary term being described:
The value for the variable that makes an equation true.

13 Determine the solution to the following equation:

14 Determine the solution to the following equation:

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16 Define a variable to represent the unknown
Define a variable to represent the unknown. Then, set up an equation to represent and solve the problem.

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20 Define a variable to represent the unknown
Define a variable to represent the unknown. Then, set up an equation to represent and solve the problem. Oxford High’s enrollment decreases at an average rate of 75 students per year, while West Brook High’s enrollment increases at an average rate of 60 students per year. Oxford High has 3150 students and West Brook High has 2475 students. If enrollments continue to change at the same rates, when will the two schools have an equal number of students?

21 Create your own equation that involves distributing AND combining like
terms, and has variables on both sides, but doesn’t have a solution.

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24 Define a variable to represent the unknown
Define a variable to represent the unknown. Then, set up an equation to represent and solve the problem. Sam charges $12 for each acre of land he mows. He made a total of $404 this week after spending $32 on gas and receiving $40 in tips. How many acres did Sam mow?

25 Define a variable to represent the unknown
Define a variable to represent the unknown. Then, set up an equation to represent and solve the problem. Laura wants to buy a computer that costs $ She already has $352 saved. Her grandmother will pay her $8 an hour to help with the yard work. How many hours will Laura have to work before she can afford to buy the computer?

26 Define a variable to represent the unknown
Define a variable to represent the unknown. Then, set up an equation to represent and solve the problem. Sheldon has three more than double the number of video games that Leonard has. If together they have 108 video games, then how many video games does Sheldon have?


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