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WorksheetsInequalities Practice
Total questions: 25
Worksheet time: 5hrs 49mins
-4x + 14 < 54
x > -10
x > 10
x < -10
x < 10
-4x - 7 > 21
x > -7
x < -8
x < -7
x < 8
10 < 3x + 19
x < 3
x < -3
x > 3
x > -3
3x - 5 > -26
-8b - 8 > 56
x/2 - 9 > -18
-9a - 1 < 26
11 > -3y + 2
-3x - 4 < 5
2x + 6 > -8
x > -7
x > 0
x < -7
Sam and Alex play in the same soccer team.
Last Saturday Alex scored 3 more goals than Sam, but together they scored less than 9 goals.
What are the possible number of goals Alex scored?
s < 3
s < -3
s > 3
s > -3
Joe enters a race where he has to cycle and run.
He cycles a distance of 25 km, and then runs for 20 km. His average running speed is half of his average cycling speed.
Joe completes the race in less than 2½ hours, what can we say about his average speeds?
s < -13
s > 13
s > -13
s < 13
Of 8 pups, there are more girls than boys.
How many girl pups could there be?
g < -4
g < 4
g > -4
g > 4
Jeff needs to spend $3000 no matter what. However, we don't know the amount of the car so we'll represent it with x. Notice that the total (sum) of the two cannot exceed $18,000 or he will run out of money.
x > -15000
x ≤ 15000
x > 15000
x < -15000
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?
40-10 > 1.50x
1.50x + 10 ≤ 40
-1.50x+10 < -40
1.50x < 40
A willow tree is 5.1 feet tall and grows at a rate of 2.5 feet a year. After how many years will the tree have reached no more than 60 feet tall?
5.1 + 2.5y > 60
5.1 + 2.5y ≤ 60
-5.1 + 2.5y ≤ 60
5.1 - 2.5y ≤ 60
Mona is ordering cups for her school. Company A charges $3.50 for each cup and a one-time starter fee of $14. Company B charges $0.50 for each trophy and a one-time starter fee of $22.
Which inequality can be used to find x, the minimum number of cups that can be ordereed so that the total charge at Company A is less than the total charge at Company B?
3.5x + -14 < -0.5x + 22
3.5x + 14 < 0.5x + 22
3.5x + 14 < 0.5x
3.5x + 14 > 0.5x + 22
Four times a number increased by 7 is at least 19.
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.
1.75t + 3.50 ≤ 20
1.75 + 3.50 ≤ 20
1.75t - 3.50 ≤ 20
-1.75t + 3.50 > 23
Erin can read at least 80 words per minute. Write an inequality to show this situation.
The maximum score on the pilot's test is 95 points.
p < -95
p ≤ 95
p>-95
-p>95
A student must be at least 15 years old to obtain a driver’s permit.
x > -15
x>-15
x ≥ 15
x<15
Four times a number increased by 7 is at least 19.
4x + 7 ≥ 19
4x - 7 ≥ 19
4x + 7 < 19
4x + 7 > 19
The sum of a number and 5 is less than 10.
x + 5 <10
x + 5 <10
x + 5 >10
x + 5 >10
When you graph an inequality, you use a closed dot when you use which symbols?
<, >
≤, ≥
