NCM1: Unit 5 Systems of Equations & Inequalities FORM A

Jason wants to earn at least $250 each week working during the summer.

-Jason earns $6.00 an hour babysitting.

-Jason earns $7.75 an hour working at a store.

He can work no more than 40 hours each week.

Let b equal hours of babysitting, and s equal hours working at the store.

Which system of inequalities models the constraints?

• 6.00b + 7.75s ≥ 250 b + s ≤ 40

• 6.00b + 7.75s ≤ 250 b + s ≤ 40

• 6.00b + 7.75s ≤ 40 b + s ≥ 250

• 6.00b + 7.75s ≥ 40 b + s ≥ 250

Lacey is assembling bags consisting of 500 red (r), green (g), and blue (b) beads. There are 3 times as many green beads as red beads and 75 more blue beads than red beads. Select the equations that are needed to create a system of equations that can be used to find the amount of red, green, and blue beads.

• A. 3g = r

• B. g = 3r

• C. b = r + 75

• D. r + g + b = 500

• E. 3r + 75 + g + b = 500

Which graph shows the solution set for the following inequality?

8x - 4y > 12

Look at your #4 from your Part A WS.

• A. [Graph A]

• B. [Graph B]

• C. [Graph C]

• D. [Graph D]

What is the solution to the system of equations shown below?

y=6x+8

y=-4x-2

• (2, 1)

• (2,-1)

• (1,2)

• (-1,2)

A system of inequalities is shown below. 2x + y ≥ 3 x - y ≤ -1 Which graph shows the solution set to the system?

• A. Graph A

• B. Graph B

• C. Graph C

• Graph D

Two types of bacteria are in a sample. There were originally 7 bacteria of the first type of bacteria and 815 of the second type of bacteria. The first type of bacteria doubles in size every day. The second type of bacteria increases by 25 every day. After how many days will the amounts of the two types of bacteria be about the same?

• 4 days

• 5 days

• 6 days

• 7 days

What is the point of intersection for the lines y - x = 0 and 3x + 5y = 15?

• (0, 0)

• (1.875, 1.875)

• (1.95, 1.95)

• (2, 2)

A restaurant charges $1.30 for 1 biscuit and 2 eggs. It charges $2.15 for 2 biscuits and 3 eggs. What is the cost of 1 biscuit and 1 egg?

• $0.70

• $0.75

• $0.80

• $0.85

Rayna paid a $200 fee to join a health club and then a $50 fee per month to use the club. The total amount of money (t) paid can be represented by the equation t = 200 + 50m, where m represents the number of months of club use.

Nora paid a $100 fee to join another health club and then a $75 fee per month to use the club, which can be represented by the equation t = 100 + 75m.

Use the graph from #11 on the Part A worksheet to determine in what month both girls will have paid an equal amount of money to their health clubs.

• Month 1

• Month 3

• Month 4

• Month 5

A system of linear inequalities is below.

3x - y ≤ 2

x + 7y ≤ 4

Which point is NOT a solution to this system?

• (−4, 0)

• (0, −1)

• (−1, −6)

• (−3, −4)