WorksheetsDifferentiates Linear Inequalities in Two Variables from Linear Equations in Two Variables
Total questions: 20
Worksheet time: 20mins
The following expressions are examples of linear inequalities in two variables EXCEPT
–𝑥> 2𝑦+7
9𝑥+3𝑦≥ 24
13𝑥 −4𝑥=21
13𝑥 − 24𝑦<32
Justin charges 11.00 to mow a small lawn and 26.00 to mow a large lawn. He would like to make at least 130.00
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
Aleris is sending a fancy organic fruit basket to her grandma for her birthday. Apples cost 3.00 and oranges cost 2.00. Aleris can spend no more than 24.00 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
Yumi is determining the seating arrangement for her big dinner party. Circular tables will seat 8 guests and rectangular tables can seat 10 guests. Yumi is informed that at least 162 guests are attending.
Write an inequality that describes the situation.
Let x = # of circular tables
Let y = # of rectangular tables
8x + 10y < 162
8x + 10y ≤ 162
8x + 10y > 162
8x + 10y ≥ 162
Michael is selling chocolate bars and orange juice in a carnival. Chocolate bars sell for 2.50 each, and orange juice sell for 3.50 each. If Michael wants to get more than 150, write an inequality showing the number of chocolate bars, b, and the number of orange juice, j, he must sell.
2.50b + 3.50m > 150
2.50b + 3.50m <150
2.50m + 3.50b > 150
2.50m + 3.50b <1
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 81.00. An order of breadsticks costs 7.00 and a pizza costs 13.00.
7x + 13y < 81
7x + 13y ≤ 81
7x + 13y ≥ 81
7x + 13y > 81
Choose all the possible values of x where x < 8.
5
6
7
8
P > Q , Q < P
YES
NO
Which scenario fits this graph best?
You have P20 to spend. Hotdog cost P5 and hamburger cost P2. How many hotdogs and hamburgers can you buy?
You have P30 to spend. Hotdog cost P5 and hamburger cost P3. How many hotdogs and hamburgers can you buy?
You have P20 to spend. Hotdog cost P4 and hamburger cost P10. How many hotdogs and hamburgers can you buy?
You have P30 to spend. Hotdog cost P5 and hamburger cost P6. How many hotdogs and hamburgers can you buy?
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?
(choose as many answer as you like)
dashed
solid
vertical
horizontal
The inequality, y < 2 will make what type of line?
(choose as many answer as you like)
dashed
solid
vertical
horizontal
Which inequality matches the picture shown?
y < -1/2 x + 5
y > -1/2 x + 5
y < -1/2 x + 5
y > -1/2 x + 5
Which inequality matches the picture shown?
y > x
y > x
y < x
y < x
Which point below is NOT part of the solution set?
(0, 0)
(-1, 5)
(-10, -10)
(5, 20)
Which point below is NOT part of the solution set?
(0, 0)
(-1, -3)
(5, 1)
(20, -5)
Which of the following equations match the given graph?
y ≤ -3/4 x + 3
y < -3/4 x + 3
y ≥ -3/4 x + 3
y > -3/4 x + 3
Consider the function y < 2x + 3, which of the following 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.
The line would be dashed with shading below.
Which of the following inequalities is shown graphed here?
y>x+4
y<x+4
y≤x+4
y≥x +4
