Free Printable Linear Inequalities in two variables

1.

Select the solution of the inequality

a)

b)

c)

d)

2.

Which inequality matches the picture shown?

a)

$y<-\frac{1}{2}x+5$

b)

$y\le-\frac{1}{2}x+5$

c)

$y>-\frac{1}{2}x+5$

d)

$y\ge-\frac{1}{2}x+5$

3.

Which inequality matches the picture shown?

a)

$y>x$

b)

$y<x$

c)

$y>x$

d)

$y<x$

4.

Which point below is NOT part of the solution set?

a)

$(0,\ 0)$

b)

$(-10,-10)$

c)

$(-1,\ 5)$

d)

$(5,\ 20)$

5.

Which of the following equations match the given graph?

a)

$y\ ≤-\frac{3}{4}x+3$

b)

$y\ ≥-\frac{3}{4}x+3$

c)

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

d)

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

6.

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.

7.

Aleris is sending a fancy organic fruit basket to her grandma for her birthday. Apples cost RM3 and oranges cost RM2. Aleris can spend no more than RM24 on the gift.

Write an inequality that describes the situation.

Let x = # of apples

Let y = # of oranges

Aleris ingin menyediakan sebakul buah-buahan yang organik untuk meraihkan hari jadi neneknya. Harga sebiji RM3 dan sebiji oren RM2. Aleris membelanja tidak melebihi RM24 ke atas buah-buahan itu.

Tulis satu ketaksamaan yang menggambarkan situasi diberi.

Katakan x = # epal dibeli

Katakan y = # oren dibeli

a)

$3x+2y<24$

b)

$3x+2y>24$

c)

$3x+2y≤24$

d)

$3x+2y≥24$

8.

Choose the correct inequality for this graph.

a)

$y>2x-3$

b)

$y\ge2x-3$

c)

$y<2x-3$

d)

$y\le2x-3$

9.

Choose the correct inequality for this graph.

a)

$y>\frac{1}{3}x-1$

b)

$y\ge\frac{1}{3}x-1$

c)

$y<3x+1$

d)

$y\le3x+1$

10.

Choose the correct inequality for this graph.

a)

$y<\frac{3}{2}x+1$

b)

$y\le\frac{3}{2}x+1$

c)

$y<\frac{2}{3}x+1$

d)

$y\le\frac{2}{3}x+1$

11.

Choose the correct inequality for this graph.

a)

$y<-1$

b)

$y\le-1$

c)

$x<-1$

d)

$x\le-1$

12.

Choose the correct inequality for this graph.

a)

$y>-2$

b)

$y\ge-2$

c)

$x>-2$

d)

$x\ge-2$

13.

Match, the solutions is the purple area

a)

y > -4/5x - 1 and y ≤ 2/3x + 3

b)

y ≥ -4/5x - 1 and y ≤ 2/3x + 3

c)

y < -4/5x - 1 and y < 2/3x + 3

d)

y < -4/5x - 1 and y ≥ 2/3x + 3

14.

Which system of inequalities matches this graph?

a)

y≥-2x+3
y≤x-3

b)

y>2x+3
y≥x-3

c)

y>-2x+3
y≥x-3

d)

y<-2x+3
y≤x-3

15.

Which system of inequalities is described by this graph?

a)

y < x−2
y < 3

b)

y > -x+2
y > 3

c)

y < -x+2
y < 3

d)

y < -x+2
y > 3

16.

Which system of inequalities is represented by the graph?

a)

x≤-2
y≤x-3

b)

y≤-2
y≤x-3

c)

x≥-2
y≤x-3

d)

y≥-2
y≤x-3

17.

Garima likes her job as a baby-sitter (b), but it pays only Rs300 per hour. She has been offered a job as a tutor (t) that pays Rs600 per hour.

Because of school, her parents only allow her to work a maximum of 15 hours per week, but she needs to make at least Rs6600 per week. Which system of inequalities below correctly models Joann's situation?

a)

b + t < 15

3b + 6t > 66

b)

b + t > 15

3b + 6t < 66

c)

3b + 6t > 15

b + t < 66

d)

300b + 600t < 15

b + t < 66

18.

Monu and Bala want to improve their yards by planting hostas and ivy. The cost of one hosta is Rs80 and the cost of one pot of ivy is Rs120. They do not want to spend more than Rs600 and they want to buy at least 6 plants. Write a system that represents the possible number of hosta x, and ivy plants y, that could be sold to meet these conditions.

a)

8x + 12y ≥ 60

x + y ≥ 6

b)

8x + 12y ≤ 60

x + y ≥ 6

c)

8x + 12y ≤60

x + y ≤ 6

d)

8x + 12y ≥ 60

x + y ≤6

19.

Avnish wants to make tables and chairs. He has a total 150 wooden boards and 350 nails. A table needs 15 boards and a chair needs 6 boards. A table also needs 28 nails while a chair requires 25 nails. Write a system that represents the possible number of tables x, and chairs y, that could be sold to meet these conditions.

a)

15x + 6y ≤ 150

28x + 25y ≤ 350

b)

15x + 6y ≤ 350

28x +25y ≤ 150

c)

15x + 6y ≥ 150

28x + 25y ≥ 350

d)

15x + 6y ≥ 350

28x + 25y ≥ 150

20.

Charchit had brochures printed for a new business venture. He originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of Rs13400. After those ran out, Charchit spent Rs12000 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

a)

x+y=13400

x+y=12000

b)

3x+3y=13400

4x+3y=12000

c)

4x+3y=13400

3x+3y=12000

d)

7xy=13400

6xy=12000

21.

What values of x will not allow (x, 2) to be a solution in the solution set for 3x + 6y > 12?

a)

x < 0

b)

x > 0

c)

x < 8

d)

x < 4

Linear Inequalities in two variables

Total questions: 21

Worksheet time: 2hrs 51mins

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