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WorksheetsWriting Inequalities
Total questions: 15
Worksheet time: 45mins
Name
Class
Date
1.
The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?
a)
125x + 55 ≤ 600
b)
125x + 55 ≥ 600
c)
125x + 55 > 600
d)
125x + 55 < 600
2.
Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?
a)
10x + 1.50 ≥ 40
b)
1.50x + 10 ≤ 40
c)
1.50x + 10 <40
d)
10x + 1.50 < 40
3.
Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?
a)
200 + 25x ≥ 500
b)
500 + 25x ≥ 200
c)
500 - 25x ≥ 200
d)
500 - 25x ≤ 200
4.
At the end of the day, vegetables at the farmer’s market sells for $3.00 a pound, and a basket costs $5.50. If Carol wants to buy a basket and spend no more than $10.00 total, how many pounds of vegetables can she buy?
a)
3 + 5.5p < 10
b)
10 = 5.5 - 3p
c)
5.5 + 3p < 10
d)
3p + 5.5 ≤ 10
5.
An elevator can only hold 1500 pounds. If equipment weighs 945 pounds, how much more pounds of supplies can be put on the elevator? Which inequality would represent this situation?
a)
x - 945 > 1500
b)
x + 945 > 1500
c)
x - 945 ≤ 1500
d)
x + 945 ≤ 1500
6.
Ross and Chandler go to Taco Land and order sodas for a total of $3.50. They also want to order some tacos (of course), which cost $1.75 each. If they have $20, how many tacos can they buy? Which inequality best represents the situation.
a)
3.50 + 1.75t > 20
b)
1.75 + 3.50t ≤ 20
c)
3.50 + 1.75t ≥ 20
d)
1.75t + 3.50 ≤ 20
7.
Which situation can be represented by the inequality
15 + 6x ≤ 100?
15 + 6x ≤ 100?
a)
Lazer
Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend,
how many people can Andrea invite to play laser tag?
b)
Lazer
Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend,
how many people can Andrea invite to play laser tag?
c)
Lazer
Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend,
how many people can Andrea invite to play laser tag?
d)
Lazer
Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend,
how many people can Andrea invite to play laser tag?
8.
Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?
a)
5x + 10 ≥ 100
b)
5x - 100 ≥ 10
c)
10x + 5 ≤ 100
d)
5x + 10 > 100
9.
Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?
a)
20x + 120 ≥ 3
b)
x/3 + 20 ≤ 120
c)
3x + 20 ≤ 120
d)
3x + 20 ≥ 120
10.
The members of Carver Middle School's Junior Beta Club need to raise at least $2000 to attend their national convention. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. Which inequality shows the number of tickets they must sale to reach their goal?
a)
300x + 10 ≥ 2000
b)
10x + 300 ≤ 2000
c)
10x + 300 > 2000
d)
300 + 10x ≥ 2000
11.
Which word problem represents the inequality:
x + 32 ≥ 80
(Show work by writing down inequality clue words.)
x + 32 ≥ 80
(Show work by writing down inequality clue words.)
a)
Janine's goal is to earn at least $80 for soccer camp. She has earned $32 so far. How much more does she need to earn?
b)
Janine made more than 80 points during the basketball season. She made 32 points the first five games. How much did she score the rest of the games?
c)
Janine scored above an 80 on her math homework. But, she turned her work in late and was deducted 32 points. What did she make after the deduction?
12.
Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has $50 and she spends $3.25 every day. Write an inequality that shows when Sue's account will be more than Troy's.
a)
25 - 2.5d > 50 - 3.25d
b)
25 - 2.5d < 50 - 3.25d
c)
25 + 2.5d > 50 + 3.25d
d)
25 + 2.5d < 50 + 3.25d
13.
Veronica is ordering trophies for her school. Company P charges $3.50 for each trophy and a one-time engraving fee of $25. Company R charges $7.50 for each trophy and a one-time engraving fee of $17. Which inequality can be used to find x, the minimum number of trophies that can be ordered so that the total charge at company P is less than the total charge at Company R?
a)
3.5 + 25x < 7.5 + 17x
b)
3.5 + 25x > 7.5 + 17x
c)
3.5x + 25 < 7.5x + 17
d)
3.5x + 25 > 7.5x + 17
14.
At the beginning of the year, Ethan has $800 in his savings account and Faith has $1,280 in her savings account. Each month, Ethan deposits and additional $25 in his account, while Faith withdraws $15 from her account. Write an equation to show after how many months will Ethan’s account have a greater balance than Faith’s account?
a)
800 - 25x < 1280 - 15x
b)
800 + 25x < 1280 - 15x
c)
800 + 25x > 1280 - 15x
d)
800 + 25x > 1280 + 15x
15.
A local bakery has a daily operating cost of $1800 plus a cost of $10 per cake they make. If a cake sells for $15, which equation could be used to determine the minimum number of cakes, c, they must sell each day to earn a profit?
a)
15c < 1800 + 10c
b)
15c > 1800 + 10c
c)
15c = 1800 + 10c
d)
10c < 1800 + 15c
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