Activity 10-A Introduction to Algebra Linear Equation Exploration – How ManySolu

Question

Activity 10-A

Introduction to Algebra

Linear Equation Exploration – How ManySolutions Are There?

Consider the equation:   

1.       Is a solution tothe equation? Check by substituting 4 in for x and seeingwhether the two sides of the equation come out equal. Showyour work.

2.       Is asolution? Show your work.

3.       Is asolution? Show your work.

4.       Choose another value forx and check if it is a solution. Show your work.

5.       Solve the equation byclearing parentheses and isolating the x. Show your work.

6.       How many solutions do youthink this equation has? Write a sentence or two explainingyour answer.

Activity 10-B

Introduction to Algebra

You have been hired to renovate a family room. Instead ofmeasuring the length and width of the room, the owners toldyou:

“The length of the family room is 5 less than twice thewidth.

The perimeter is 80 feet.”

1)   Find the length and width of the room.

2)      The carpet that is needed costs$12 per square yard.

3)      The walls are 8 feethigh. One gallon of paint can cover 200 squarefeet. You need to paint all four walls. (We are not goingto worry about the door and windows!) One gallon of paintcosts $14.99. We will have leftover paint.

4)      One-foot-square ceiling tilesare sold in packages of 50. One package of ceiling tiles cost$39.99. We will have leftover ceiling tiles.

5)      Miscellaneous supplies willcost $28.

How much will it cost, in supplies, to re-do thisfamily room?

Identify all variables in eachequation.

Explanation / Answer

What is the equation for Activity 10-A?

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