Free Printable HW 4.5: Graphing Linear Inequalities/Solving Systems

1.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

2.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

3.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

4.

Which of the following equations match the given graph?

a)

$y\ ≥\ \frac{2}{5}x+1$

b)

$y≥-\frac{2}{5}x+1$

c)

$y≤\ \frac{2}{5}x+1$

d)

$y≥-\frac{2}{5}x-1$

5.

Which of the following equations match the given graph?

a)

$x≥-1$

b)

$x\le-1$

c)

$x>-1$

d)

$x<-1$

6.

Which of the following equations match the given graph?

a)

$y≤-\frac{5}{4}x+3$

b)

$y\ge-\frac{5}{4}x+3$

c)

$y<-\frac{5}{4}x+3$

d)

$y>-\frac{5}{4}x+3$

7.

When I see $\le$ or $\ge$ , I use a ________ line.

a)

Solid

b)

Dashed

8.

When I see $<$ or $>$ , I use a ____________ line.

a)

Solid

b)

Dashed

9.

When I see $>$ or $\ge$ , I shade...

a)

Above

b)

Below

10.

When I see $<$ or $\le$ , I shade...

a)

Above

b)

Below

11.

Consider the function y<2x+3. Which is true?

a)

The line would be solid with shading above.

b)

The line would be dashed with shading above.

c)

The line would be solid with shading below.

d)

None of these.

12.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

a)

Yes because it is located in the shaded region.

b)

No because it is located on the line and the line is dotted.

c)

Yes because it is located on the line.

d)

No because it is in the shaded region.

13.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

14.

Which system of linear equations has no solution?

a)

b)

c)

15.

Which of the following shows the solution to the system?
y= -1/4x + 4
y = 2x + 2

a)

A

b)

B

c)

C

d)

D

16.

Solve the system of equations by graphing.

a)

(4, 7)

b)

(3, 5)

c)

(6, 7)

d)

(5, 3)

17.

Solve the system of equations by graphing.

a)

(-3, 2)

b)

(-3, 6)

c)

(-3, -2)

d)

(-3, -6)

18.

x + 2y = -4
x - 2y = 8

a)

(2,5)

b)

(2,-3)

c)

(2,-2)

d)

(-3,2)

19.

Solve:

$y=-\frac{5}{3}x+2$

$x-3y=12$

a)

(3,3)

b)

(-3,-3)

c)

(3,-3)

d)

(3,-2)

20.

Which of the following graphs would fit the system of equations?

$y=2x-4$

$y=-\frac{1}{2}x+1$

a)

b)

c)

HW 4.5: Graphing Linear Inequalities/Solving Systems

Total questions: 20

Worksheet time: 2hrs 40mins

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