Algebraic Equations in One Variable

Solve:
2x + 1 = 5

• 3

• 2

• -2

• -3

What is the first step to complete when solving this equation?
3y - 10 = 4

• Add 10

• Subtract 10

• Add 3

• Divide by -3

Solve for x:
8x - 10 = -34

• 4

• 3

• -3

• -24

Solve x -2 = -1

• -1

• 1

• 3

• -3

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days. 

• L = 34 - 0.5(d)

• L = 34(d) - 0.5

• d = 34 - 0.5(L)

Solve for x:
2x + 5 = 12

• 7

• 3

• 3.5

• 8.5

The total cost of renting a car is $22 per day, plus an initial fee of $55. Which equation best describes this relationship?

• c = 55d - 22

• c = 55 + 22d

• c = 22d - 55

• c = 22d + 100

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

• y = 8.5 + 25.5

• y = 25.5 + 8.5x

• y = 8.5 + 25.5x

You do lawn work for $13 an hour, but charge a $7.5 transportation cost. What rule represents your business model? 

• y=13x - 7.5

• y=13x + 7.5

• y=20.5x 

• y=7.5x + 13

A badminton club decides to fix their fees as this; a SIGN up fee of $10 and to play each game $2. What could be a possible linear equation that could represent the money you have to pay for them as a member?

• Y = 2x + 10

• Y = 10x + 2

• Y = x + 2

• Y = X + 10