Writing and Solving Equations

Clean fast charges $2 per window plus a $15 fee. See Out charges $3 per window plus a $5 fee. When will their costs be the same?

• 2 + 15x = 3 + 5x

• 2x + 15 = 3x + 5

• 2x - 15 = 3x - 15

• 2 - 15x = 3 - 5x

Write an equation from the following description: A cash register subtracts $2.50 from a $25 Coffee Cafe gift card for every medium coffee the customer buys.

• y = -2.50x + 25

• y = 2.50x + 25

• y = 2.50x - 25

• y = (-1/2.50)x + 25

Which of the following situations could be descried by the equation y=120-25x?

• There are 120 people in the football stadium, and 25 more are entering each hour.
• A plumber charges $25 for a house call and $120 per hour.
• A teacher has 120 students. Her third period has 25 students
• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

A 7-inch candle burns at a rate of 2-inches per hour. Which equation represents the relationship between y, the height of the dandle in inches, and x, the number of hours the candle burns?

• y = 2x + 7

• y = 7 - 2x

• y = 2 - 7x

• y = 7x + 2

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven.  What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

• 222.5 = m(35 + 0.75)
• 222.5 = 35 + 0.75m
• 222.5 = 0.75 + 35m
• 222.5 = 0.75(m + 35)

Tags

CCSS.7.EE.B.4A

A helicopter hovers 40 ft above the ground. Then the helicopter climbs at a rate of 21 ft/s. Write a rule that represents the helicopter’s height h above the ground as a function of time t. 

• h = 40t + 21
• h = 21t + 40
• h = -40t + 21
• h = -21t + 40

Tags

CCSS.HSF-BF.A.1A

Solve:
7x - 3x - 8 = 24

• 8
• -8
• 3.2
• 4

Tags

CCSS.8.EE.C.7B

Solve:
6(5x - 3) + 2 = 14

• 2
• .5
• -1
• 1

Tags

CCSS.7.EE.B.4A

Solve:
7x + 19 = -2x + 55

• 4
• 14.8
• 8.2
• -4

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve: 5x + 34 = -2(-7x + 1)

• -4
• 9
• 4
• 36/19

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3