Skills Practice - Solving Linear Equations

Solve for x: -4x + 5 = -10 + 10x

• x = 15/14

• x = -15/14

Solve for x: 1 + (3/8)x = (5/8)x

• x = 4

• x = 8

• x = 2

• x = 0

• x = 1.75

• x = -1.75

• x = 7

• x = -7

• x = -0.7444

• x = 0.8362

• x = -.12342

• x = 1

• x = 14.75

• x = 12

• x = 15

• x = 17.72

Solve –3.45x – 21.9 = 1.45x – 7.2 by multiplying both sides of the equation by a power of 10.

• x = 33.5

• x = -22.5

• x = 25.8

• x = -7.3

• x = 1

• x = 2

• x = 3

• x = 4

Petit Chat cat salon charges $35 for each cat grooming session. Pretty Kitty cat salon charges a one-time fee of $20 and $25 for each cat grooming session. How many grooming sessions would make their fees equal?

• 2

• 6

• 3

• 10

Francis earns $3.50 an hour mowing lawns. He also gets $10 a week allowance. Bella earns $5.25 an hour babysitting and spends $11 a week on books. If Francis and Bella work the same number of hours a week and have the same amount of money at the end of each week, how many hours a week do they each work?

(a)  

There are two candy machines in a restaurant. One is filled with 200 gumballs and the other is filled with 900 chocolate candies. The gumballs are dispensed 1 at a time and the chocolate candies are dispensed 8 candies at a time. How many dispenses from each machine will make the number of candies in the machines equal?

• 900

• 200

• 375

• 100