Free Printable Linear Inequalities in Two Variables Part 1

Worksheets

Linear Inequalities in Two Variables Part 1

Total questions: 20

Worksheet time: 40mins

Name

Class

Date

What type of line is used with the following symbols, < and >?

dashed or dotted

solid

What type of line is used with the following symbols, < and >?

dashed or dotted

solid

The inequality, x < 2, will make what type of line?

dashed, vertical

dashed, horizontal

solid, vertical

solid, horizontal

The inequality, y < 2, will make what type of line?

solid, horizontal

solid, vertical

dashed, horizontal

dashed, vertical

Which inequality matches the picture shown?

y > x

y < x

y > x

y < x

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

The line would be solid with shading above.

The line would be dashed with shading above.

The line would be solid with shading below.

None of these.

Which of the following inequalities is shown graphed here?

$y<6$

$y\le6$

$y>6$

$y\ge6$

Which inequality matches the picture shown?

$y>x$

$y<x$

$y>x$

$y<x$

Justin charges RM11 to mow a small lawn and RM26 to mow a large lawn. He would like to make at least RM130.

Write an inequality that describes the situation.

Let x = # of small lawns mowed and

Let y = # of large lawns mowed

11x + 26y ≥ 130

11x + 26y > 130

11x + 26y ≤ 130

11x + 26y < 130

10.

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

3x + 2y < 24

3x + 2y ≤ 24

3x + 2y > 24

3x + 2y ≥ 24

11.

Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than RM81. An order of breadsticks costs RM7 and a pizza costs RM13.

7x + 13y < 81

7x + 13y ≤ 81

7x + 13y ≥ 81

7x + 13y > 81

12.

Which point below is NOT part of the solution set?

(0, 0)

(5, 1)

(-1, -3)

(20, -5)

13.

Are the points on the boundary line part of the solution set or not?

Yes, they are part of the solution set

No, they are NOT part of the solution set

14.

How can I tell if an inequality will have a solid line?

It has an equal sign.

The symbol is greater than.

The symbol has "or equal to."

You just guess.

15.

Will my line be solid?
5 ≥ x

Yes

16.

Which of the following is a linear inequality in two variables?

𝑥 + 𝑦 = 2

𝑥 + 5 > 8

3𝑚 + 5𝑛 < 10

3𝑞 – 2𝑞 ≠ 6

17.

Which of the following inequalities illustrate “the sum of 𝑥 and 𝑦 is at most 15”?

𝑥 + 𝑦 = 15

𝑥 + 𝑦 > 15

𝑥 + 𝑦 ≤ 15

𝑥 + 𝑦 ≥ 15

18.

Bam bought 4 mangoes and 7 guavas. The total amount she paid was at least RM 230. If 𝑥 represents the cost of each mango and 𝑦 the cost for each guava, which of the following mathematical statements represents the given situation?

4𝑥 + 7𝑦 ≥ 230

4𝑥 + 7𝑦 ≤ 230

4𝑥 + 7𝑦 > 230

4𝑥 + 7𝑦 < 230

19.

For this symbol,
$\le$
do you shade above or below the line?

20.

Choose the correct inequality for this graph.

$y>2x-3$

$y\ge2x-3$

$y<2x-3$

$y\le2x-3$

Reset

Linear Inequalities in Two Variables Part 1

Total questions: 20

Worksheet time: 40mins

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