Calculating Linear Equations Statistics

Solve the equation 4x + 5 = 3x + 9

• 2

• 4

• 7

• 14

Solve 3x - 10 = 2 - x

• -4

• -2

• 3

• 6

Solve the equation -5 + 2p = 23

• p = -14

• p = -9

• p = 9

• p = 14

Which equation has x = 5 as the solution?

• x + 15 = 10

• 2x = 5

• 2x = 10

The aquarium is draining a large fish tank. The pump they are using can drain 24 gallons per hour. After 3 hours, there are 78 gallons left in the tank. Write an equation in slope-intercept form to model the water left in the tank, y, after x hours of draining. How many gallons were originally in the tank?

Ben and Julia rented a truck from the same company to move to college. Ben drive 150 miles and paid $64.95 while Julia drove 84 miles and paid $45.15. What is the slope and what does it represent in context to the situation.

• m = 0.30; it represents the cost per mile.

• m = 0.30; it represents the initial fee for the moving truck

• m = 19.95; it represents the initial fee for the moving truck

• m = 3.33; it represents the cost per mile.

Write a linear equation in point-slope form given the point and slope: (5, -9), slope = -2/5

Write an equation in slope-intercept form given the point and slope: (-4, -7); slope = 1

Allie orders candles from an online company that offers flat rate shipping. She placed an order for 4 candles for $35. A few months later, she placed an order for 12 candles for $95. Write an equation in point-slope form to model the total cost, y, for ordering x candles. How much is shipping?