NEW
Font size
WorksheetsIllustrating & Graphing Linear Inequalities in Two Variables
Total questions: 15
Worksheet time: 29mins
Which of the following is a linear inequality in two variables?
𝑥 + 𝑦 = 2
𝑥 + 5 > 8
3𝑚 + 5𝑛 < 10
3𝑞 – 2𝑞 ≠ 6
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
Which of the following inequality has (5, 1) as a solution?
3𝑥 + 𝑦 ≤ 3
3𝑥 – 𝑦 ≤ 3
3𝑥 – 𝑦 < 15
3𝑥 + 𝑦 < 15
For what possible values of 𝑥 and 𝑦 will make the inequality 5𝑥 + 3𝑦 > 12 true?
( 0, 3 )
( 3, -1 )
( 1, 1 )
( 3, 0 )
Which of the following inequalities is represented by the given graph?
2𝑥 + 2𝑦 > 2
3𝑥 + 2𝑦 < 2
3𝑥 − 2𝑦 > 2
3𝑥 – 2𝑦 < 2
Which is the correct inequality for the shaded region?
𝑦 = − 𝑥 − 2
𝑦 > −𝑥 − 2
. 𝑦 < − 𝑥 + 2
𝑦 > 𝑥 – 2
Which of the following points satisfy the inequality 𝑦 < 2𝑥 – 3?
(5, 2)
(2, 2)
(2, 5)
(0, 1)
Which of the following inequalities is represented by the graph?
2𝑥 + 3𝑦 ≥ 15
2𝑥 + 3𝑦 ≤ 15
3𝑥 – 2𝑦 ≥ 15
3𝑥 – 2𝑦 ≤ 15
Transform 3𝑥 − 2𝑦 < 7 into slope- intercept form.
𝑦 < 3/2 𝑥 + 7/2
𝑦 > 3/2 𝑥 + 7/2
𝑦 > 3/2 𝑥 − 7/2
𝑦 > 2/3 𝑥 − 7/3
In the inequality 4𝑎 + 3𝑏 < 12, what could be the possible value of 𝑎 if 𝑏 = 2?
𝑎 > 2/3
𝑎 > −3/2
𝑎 < 2/3
𝑎 < 3/2
What can be said about solutions of the inequality 𝑥 + 2𝑦 > 5?
The solutions are located below the line.
The solutions are located above the line.
The solutions are on the line.
All of the above.
The graph of 𝑦 ≤ 2𝑥 + 5 is shown below, which of the following ordered pair does not satisfies the inequality?
(2, −5)
(5, 2)
(−2, 7)
(5, −7)
To graph 2𝑥 + 𝑦 ≥ 4, we begin by graphing the boundary line of the inequality, what is the slope (m) and y-intercept (b) of the inequality?
𝑚 = −2, 𝑏 = −1
𝑚 = −2, 𝑏 = 4
𝑚 = 2, 𝑏 = −4
𝑚 = 2, 𝑏 = −1
Bam bought 4 mangoes and 7 guavas. The total amount she paid was at least 𝑃ℎ𝑝 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
. The total amount Shobie paid for two kilos of beef and three kilos of fish is less than 𝑃ℎ𝑝 700. Suppose a kilo of beef costs 𝑃ℎ𝑝 250. What what will be the maximum cost of a kilo of fish? Round –off the answer to a whole number.
𝑃ℎ𝑝 50
𝑃ℎ𝑝 65
𝑃ℎ𝑝 66
𝑃ℎ𝑝 67
