Equations With Variables on Both Sides

1.Two times the number of red tiles in a bag is the same as 50% of the number of red tiles in the bag increased by 75. How many red tiles are in the bag?

• A 80

• B 60

• C 40

• D 50

• F.The equation is 4x = x + 9. The solution is 3.

• G.The equation is 5x = 9. The solution is 1.8.

• H.The equation is 4x = x + 9. The solution is 4.

• J.The equation is 4x = x + 9. The solution is 4.

A square and a regular hexagon have sides of the same length. The perimeter of the square increased by 32 units will be equal to the perimeter of the hexagon. What is x, the length of a side of the hexagon or square?

• A.20

• B.28

• C.24

• D.16

• F 7

• G -6.5

• H −7

• J 14

5.The Fast Car Repair Shop charges a $60 fee plus $30 an hour for labor. Jeff’s Repair Shop charges

$45 an hour. How many hours of labor, x, would make Fast Car Repair Shop’s charges less the same as Jeff’s Repair Shop’s charges?

• A.3

• B.4

• C.1

• D.2

• F The equation modeled is 4x - 2 = -x + 8 and the solution is x = -2

• G The equation modeled is 4x - 2 = -x + 8 and the solution is x = 2

• H The equation modeled is 4x + 2 = -x + 8 and

  the solution is x = 1.2

• J The equation modeled is 4x - 2 = -x + 8 and the solution is x = 1.5

Forty percent of the cost of a dress is the same as one-half the cost of the dress decreased by $12. What is the cost of the dress?

• A $60

• B $120

• C $100

• D $90

What is the solution to the equation 2x - 2 = -x + 10

• F. x = 12

• G. x = 3

• H. x = 5

• J. x = 4

9.A coin collection contains the same number of nickels as dimes. The value of the nickels increased by 60 cents is the same as the value of the dimes. How many nickels or dimes, x, are in the collection?

• A.8

• B.7

• C.12

• D.10

• F. x = 12

• G. x = 10

• H. x = -12

• J. x = 15