Unit 3 Assessment: Equations and Inequalites

Which of the following situations can be represented by the equation:

d = 21 + 0.4m

• the cost per day, d, to rent a car is $21 plus $0.40 per mile, m

• the cost per day, d, to rent a car is $21 minus $0.40 per mile, m

• the cost per day, d, to rent a car is $0.40 plus $21 per mile, m

• the cost per day, d, to rent a car is $0.40 minus $21 per mile, m

 $\frac{2x\ -\ 5}{7}\ =\ 9$ 

Solve for x

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600
• 125x + 55 ≥ 600
• 125x + 55 > 600
• 125x + 55 < 600

Tags

CCSS.7.EE.B.4B

What inequality does the number line graph represent?

• $x\ +\ 4\ \ge\ -1$
  

• -2x + 3 > -7

• -x + 1 < -4

• $2x\ +\ 3\ \ge\ 13$
  

Solve for n:

30 = -5(6n + 6)

The perimeter of a rectangle is 36 feet. The length is 2 times the width. Find the length in feet.

P = 2(l + w)

Solve for x:

37 = -3 + 5(x + 6)

• x = 2

• x = -2

• x = -6.8

• x = 6.8

You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food.  You can spend at most $25.  Which inequality models this scenario?

• 2x + 10 ≥ 25
• 2x + 10 > 20
• 2x + 10 ≤ 25
• 2x + 10 < 25

Tags

CCSS.7.EE.B.4B

-3r + 10 < -2

• r < -8/3
• r > -8/3
• r > 4
• r < 4

Tags

CCSS.7.EE.B.4B

Solve and graph.
p - 3 > -8

• A
• B
• C
• D

Tags

CCSS.7.EE.B.4B