Solving Single-Step Problems Using Linear Equations in One Variable

Solve.
x - 10 = -6x + 4

• 6/5
• -6/5
• 2
• -2

A gym membership charges an initial fee of $100 plus a $25 fee every month. Another gym only charges $45 every month. After how many months will the total cost for both gyms be the same?

• 2
• 3
• 4
• 5

Mr. Smith works as a salesman at a car dealership. He is paid a base salary of $1,300 each month, and he receives a commission of $150 for each vehicle he sells. If last month Smith earned $2,500, how many cars did he sell last month?
[Hint: Write a linear equation to model this information.]

• 8
• 10
• 6
• 12

A math worksheet took Jeremy 1 hour and 15 minutes to complete. Each numerical problem took three minutes to complete and each word problem took five minutes to complete.
If there were 10 numerical problems on the worksheet, how many word problems were there?

• 9
• 6
• 7
• 8

If 7x + 3 = 24, what is the value of 5 - 4x ?

• -23
• -7
• 1
• 17

-3n+7=-3n-5

• -2
• no solution
• 0
• 2

5(n-2)=10(3n+9)

• -4
• 4
• 2.5
• 25

Solve:
6x= 4(1/2  x -8)

• x=4
• x= -8
• x= -4
• x=8

For the equation below to have one solution, which value cannot go in the blank:
___ + 12 = 8x + 4

• 8x
• 4x
• 0
• 9x

55 - 6(3x-1) = -11

• x = 3 1/3
• x = 3.6
• x = 2 1/10
• x = 4