Enter Title

1

100

−𝑏/2𝑎

for 𝑎 = 6, 𝑏 = 4 

-1/3

200

(4𝑥−8)/(5+𝑥)

for 𝑥 = 3

1/2

300

𝑥2− 𝑦2 for 𝑥 = −3, 𝑦 = −2 

14

400

√𝑐^2 − 𝑎^2 for 𝑎 = 3, 𝑐 = 5 

4

500

(−𝑏+√𝑏^2−4𝑎𝑐)/(2a)

for a = -3, b = -4, and c = 0.

8

2

100

Identify and combine the Like Terms. Write your answer in descending order.

5x^2– 8x – 5x^3– 9x^2 + x – x^3

-6x^3-4x^2-7x

200

Simplify completely. Show all steps.

(8𝑥+2)/4

2x+1/2

300

((4𝑎−8)+2)/2

2a-3

400

( 3(10𝑥−4)+6)+ 3x + 1

33x-5

500

Picture Question

56x

3

100

3(2x + 4) = 8(x + 2) + 6

x=5

200

3(6 + 2x) = 8 + (x – 5)

x=-3

300

(2𝑥 − 7) − (4𝑥 + 8) = 4(𝑥 + 6) 

x=-7

400

7 – (a – 3) = 3(2a – 6) 

4

500

5(x + 6) – x = 4(x + 7) + 2

All real numbers (infinitely many solutions)

4

100

x > 8

(8,inifinity)

200

8 ≤ x < 12

[8,12)

300

4x ≤ 2x + 12

(-infinity, 6]

400

14m + 8 > 6m – 8 

(-2,infinity)

500

5(–2a – 8) ≤ –9a + 4 

[-44,infinity)

5

200

Let p represent the marked price of an item at Toys R Us. Bella’s aunt gave her a $100 gift

card to Toys R Us for her birthday.

a. If sales tax is currently 9%, set up an algebraic inequality to express how much she can

spend using her gift card.

1.09p <= 100

300

Your car is worth $1000 at most. It is old. You find out that it needs repairs to pass

inspection. The auto shop tells you that the parts cost a total of $520, and the labor cost is

$68 per hour. If the repairs are more than the car is worth, you are going to donate the car to

charity.

a. Write an inequality that can be used to determine the maximum number of hours the

mechanic can spend working on your car to help you decide to repair it or donate it.

Clearly indicate what the variable represents.

520 + 68h <=  1000

400

You have $1400 for your trip to the beach. You estimate that it will cost $250 a day for food,

entertainment and hotel, plus $198 for round trip air fair.

a. Write an inequality that can be used to determine the maximum number of full days you

can stay at the beach. Clearly indicate what the variable represents.

250d + 198 <= 1400