Modeling and Solving Equations and Inequalities

How do you change
y-4=3(x+3) into slope-intercept form?

• y=23x-1/23

• y=3x+13

• y-7x=9 

• y=13-3x

Write the equation
 y=-2x+1 
in standard form.

• -2x+y=1

• 2x+y=1

• 2x-y=-1

• 2x+y=-1

Solving Equations:
2(6b + 1) = 4(b - 5) -2

• b = - 2.75

• b = -7/8

• b = 3

• b = -3

Graphing Inequalities:
Select the correct graph for each inequality.

• A

• B

• C

• _D

• f < 0.5

• f > 0.5

• f < 1.2

• f > 1.2

m ≤ 15

• m ≤ 15

• m ≥ 15

• m ≤ 8

• m ≥ 8

A twelve inch candle and an 18 inch candle are lit at 6pm. The 12 inch candle burns 0.5 inches every hour. The 18 inch candle burns two inches every hour. At what time will the two candles be the same height? Identify the equation that models this situation.

• 12 - 0.5x = 18 - 2x

• 12 + 0.5x = 18 + 2x

• 12x - 0.5 = 18x - 2

• 12 - 6x = 18 - 2x 

An airplane was 25,000 feet above the ground and began 

DESCENDING at a rate of 1500 feet per minute.  

Select an equation that models the plane’s 

altitude (height), y, after x number of minutes go by.

• y = 1,500 + 25,000x

• y = 1,500 - 25,000x

• y = 25,000 + 1,500x

• y = 25,000 - 1,500x

Answer explanation

Altitude = 25,000 ft - 1,500 ft per minute

y = 25,000 - 1,500x

You have a budget of $160 to order shirts for a math club. The equation 8x + 10y = 160 models the total cost, where x is the number of short-sleeved shirts and y is the number of long-sleeved shirts.

Tags

TN21.A1.F.IF.C.7

TN21.A1.A.CED.A.2

TN21.A1.F.IF.B.5

TN21.A1.N.Q.A.1

TN.A1.N.Q.A.1a

A homeowner charges a processing fee and a daily fee to rent a house. The table shows the costs of renting the house for different number of days. Can the situation be modeled by a linear equation?

• Yes

• No