Create and Solve Linear Equations

Which of the following represents the statement below?
Five times a number x is 3 more than x.

• 5x = 3 + x

• 5x > x + 3

• 5x + 3 = x

• 5x + 3 > x

If 6 more than 5 times a number is 41, what is the number?

• -47/5

• -7

• 7

• 47/5

An electrician charges $42 per hour.  He estimates that he will need $628 in materials for a project and the total cost of the project will be $1,384.  How many hours does the electrician expect the job to take?

• 18 hours

• 33 hours

• 42 hours

• 48 hours

What is the first step to solve this equation:
-11 - 3x = 44

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

What is the first step in solving this equation:
5x + 7 = 12

• Divide by 5

• Subtract 5

• Multiply by 7

• Subtract 7

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by 5

• Subtract 6 from both sides then divide both sides by 5

The objective when solving an equation is to....

• isolate the variable.

• check the solution.

• guess and check.

• Combine Like Terms.

Community Gym charges a $60 membership fee and a $50 monthly fee. Workout Gym charges a $180 membership fee and a $40 monthly fee. Which equation would represent when both gyms would cost the same?

• 60m+50=180m+40

• 60+50m=180+40m

• 60m-50=180m-40

• 60-50m=180-40m

Community Gym charges a $60 membership fee and a $50 monthly fee. Workout Gym charges a $180 membership fee and a $40 monthly fee. Solve on a piece of paper. After how many months would the membership cost the same and how much would it cost?

• After 10 months it will cost $560 at both gyms

• After 2.67 months it will cost $193.50 at both gyms

• After 12 months it will cost $660 at both gyms

• After 24 months it will cost $1,260 at both gyms

Container A and Container B have leaks.

Container A has 500 ml of water and is leaking 6 ml per minute. Container B has 1000 ml and is leaking 16 ml per minute. Let m represent the number of minutes the containers are leaking. Which equation represents Container A:

• 500+6m

• 500-6m

• 1000+16m

• 1000-16m