Free Printable Writing Inequalities Practice (Unit 2)

Worksheets

Writing Inequalities Practice (Unit 2)

Total questions: 16

Worksheet time: 1hrs 1mins

Name

Class

Date

When creating a linear inequality, what is the first step?

Find the total

Identify the inequality for the total

Identify the variables and the quantity associated (x = & y =)

Write the inequality

When creating a linear inequality, what is the second step?

Find the total

Identify the inequality for the total

Identify the variables and the quantity associated (x = & y =)

Write the inequality

When creating a linear inequality, what is the third step?

Find the total

Identify the inequality for the total

Identify the variables and the quantity associated (x = & y =)

Write the inequality

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. An order of breadsticks costs $7 and a pizza costs $13.

7x + 13y < 81

7x + 13y ≥ 81

7x + 13y ≤ 81

7x + 13y > 81

Write the linear inequality in standard form for this situation: The CRHS science department can spend no more than $2700 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.

57x + 72y ≥ 2700

57x + 72y > 2700

57x + 72y < 2700

57x + 72y ≤ 2700

Write the linear inequality in standard form for this situation: A landscaping business is purchasing plants from a nursery to finish a project. It will cost $14 each to buy each tree and $5 each to buy each bush. The landscaper wishes to keep the spending under $1000.

14x + 5y ≥ 1000

14x + 5y < 1000

14x + 5y ≤ 1000

14x + 5y > 1000

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

x + 2y < 240

x + 2y > 240

x + 2y ≤ 240

x + 2y ≥ 240

Write the linear inequality in standard form for this situation: The manager of an electronics store projects that the store should achieve more than $21,000 in revenue from TVs and DVD players every day in order to remain profitable. Tvs sell for $225 and DVD players sell for $175.

225x +175y ≤ 21,000

225x +175y ≥ 21,000

225x +175y < 21,000

225x +175y > 21,000

To order from the kids menu a person must be no more than 12 years old.

x > 12

x < 12

x ≥ 12

x ≤ 12

10.

Addie saved more than $36. Which inequality represents the amount that she saved?

s > 36

s < 36

s ≤ 36

s ≥ 36

11.

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

x + y ≥ 6
32x + 20y ≤ 150

x + y ≥ 632
x + 20y ≥ 150

x + y ≤ 6
32x + 20y ≤ 150

x + y ≤ 6
32x + 20y ≥ 150

12.

JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?

b + t < 15
3b + 6t > 66

b + t > 15
3b + 6t < 66

3b + 6t > 15
b + t < 66

3b + 6t < 15
b + t < 66

13.

Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8 per hour at Culvers and $25 per hour mowing lawns. He only has time to work 14 hours before homecoming.

x + y ≥ 25
x + y ≤ 8

100x + 25 y ≤ 100
2x + 8y ≤ 14

x + y ≥ 100
8x + 25y ≤ 14

8x + 25y ≥ 100
x + y ≤ 14

14.

Your family goes to a restaurant for dinner.

• The cost of each chicken dinner is $14.80.

• The cost of each steak dinner is $17.

• There are 6 people in your family.

• Your family plans has $91 to spend.

Which system best represents x, the number of steak dinners, and y, the number of chicken dinners that the family can order?

$x+y<6$

$14.80x+17y\le91$

$x+y\le91$

$14.80x+17y\le6$

$x+y\le6$

$14.80y+17x\le91$

$x+y<6$

$14.80y+17x<91$

15.

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

2x + 3y > 100

x + y ≤ 40

100x + 2y > 3

x + y ≤ 40

100x + 40y > 100

3x + 2y ≤ 40

3x + 2y > 100

x + y ≤ 40

16.

Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points. He will have less than 6 shots for 2-point shots and no more than 4 shots for 3-point shots. . If x is the number of 2-point shots, and y is the number of 3-point shots, which inequalities below represent the situation?

$2x+3y\ge20$

$x+y<10$

$2x+3y\ge20$

$x\le10$

$2x+3y\ge20$

$x<6$

$y\le4$

$2x+3y\ge20$

$x\le6$

$y\le4$

100 %

Writing Inequalities Practice (Unit 2)

Total questions: 16

Worksheet time: 1hrs 1mins

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