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Prerequisite of Linear Programming

Total questions: 15

Worksheet time: 6mins

Name
Class
Date
1.

How many solutions does this system of equations have?

a)

One Solution

b)

Twoo Solution

c)

No Solution

d)

Infinitely Many Solutions

2.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely Many

3.

Find the solution to the system of equations:

3x + 2y = 16

y = -7x + 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

4.

Which of the following are ways to solve systems of equations?

a)

Graphing

b)

Substitution

c)

Elimination

d)

All of the above

5.

There are 50 donkeys and chickens on a far. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

a)

d + c = 174

4d + 2c = 50

b)

d + c = 50

4d + 2c = 174

c)

d + c = 50

2d + 4c = 174

d)

d + c = 174

2d + 4c = 50

6.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

a)

3x + 2y = 315

2x + 4y = 450

b)

3x + 2y = 450

2x + 4y = 315

c)

2x + 2y = 315

3x + 4y = 450

d)

2x + 3y = 315

4x + 3y = 450

7.

Find the solution to the system of equations:

y = -6x + 5

-2x + y = 5

a)

(-3, -6)

b)

(-6, 3)

c)

(0, 5)

d)

(-3, 5)

8.

When you graph an inequality, you used a solid line when you use which symbols?

a)

≤, ≥

b)

<, >

9.

When graphing an inequality, you use a dotted line when you use which symbol?

a)

<, >

b)

≤, ≥

10.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

11.

Is (-2,4) a solution to the system?

a)

Not a solution

b)

Solution

12.

Is (0,0) a solution to the system?

a)

Solution

b)

Not a solution

13.

Determine the following inequalities...

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

14.

Determine the following inequalities

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

15.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D