WorksheetsTranslating and Writing Inequalities
Total questions: 15
Worksheet time: 57mins
Name
Class
Date
1.
Translate into a correct inequality: Six increased by twice a number is no more than 20.
a)
6x + 2 ≥20
b)
6x + 2 > 20
c)
6 - 2x ≤20
d)
6 + 2x ≤20
2.
Match the sentence to the correct inequality
The sum of a number times 3 and 15 is less than or equal to 32
a)
3(x + 15)≤32
b)
3 ( x + 15) > 32
c)
3x + 15 <32
d)
3x +15 ≤32
3.
Match the sentence to the correct inequality
Two times the sum of a number and 28 is at least 21
a)
2(x + 28) ≥21
b)
2x + 28 ≥21
c)
2x + 28 > 21
d)
2 ( x + 28) < 21
4.
Match the sentence to the correct inequality.
Twice the difference of a number and 10 is less than 30
a)
2 x + 10 = 30
b)
2 ( x-10) < 30
c)
2x - 10 < 30
d)
2 ( x - 10) ≤ 30
5.
Which inequality matches the above word problem?
a)
b)
c)
6.
a)
b)
c)
7.
Twice a certain number, increased by 5, is less than three times the same number.
a)
2x + 5 > 3x
b)
2x + 5 < 3x
c)
2x + 5 ≤ 3x
d)
2x + 5 ≥ 3x
8.
The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?
a)
50 + 3.5x < 71
b)
71 - 3.5x < 50
c)
71 - 3.5x ≤ 50
d)
71 + 3.5x < 50
9.
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
10.
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
11.
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
12.
Debbie has at most $60 to spend on the clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $8. Write an inequality that could be used to find x, the number of t-shirts Debbie can buy.
a)
60≥22x-8
b)
22-8x≥60
c)
22x+8≤60
d)
22+8x≤60
13.
Grace earns $7 for each car she washes. She always saves $25 of her weekly earnings. This week she wants to have at least $65 in spending money. Which inequality represents how many cars she must wash?
a)
25 - 7x ≤ 65
b)
7x - 25 ≥ 65
c)
7x - 65 ≥ 25
d)
x/25 - 65 > 7
14.
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?
15.
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
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