Modeling and Solving Equations and Inequalities

Graphing Inequalities:
Select the correct graph for each inequality.

• A

• B

• C

• _D

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

Solving Inequalities:
-4x + 14 ≤ 54

• x ≥ - 10

• x ≤ -10

• x ≥ 10

• x ≤ 10

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

Solve the equation shown. Show the work you do in finding your final answer on the paper provided.

Mathematical Equivalence

ON

Answer explanation

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

What value of x satisfies the equation? Before you submit, check your answer by plugging your answer in for x in the original equation. Write the value of x, do not write x=

Mathematical Equivalence

ON

What value of x satisfies the equation?

Before you submit, check your answer by plugging your answer in for x in the original equation.

Write the value of x, do not write x=

Mathematical Equivalence

ON