WorksheetsEquations & Inequalities
Total questions: 14
Worksheet time: 7mins
Name
Class
Date
1.
Ellen borrowed $3 from each of her cousins and $8 from her mother, for a total of $20. Which equation shows how to find c, the number of cousins who loaned Ellen money?
a)
11c = 20
b)
3c - 8 = 20
c)
3c + 8 = 20
d)
c + 11 = 20
2.
A choir wants to collect more than 500 items to sell at a flea market. So far, the choir has collected 397 items and has only 7 more days to collect items. Which inequality could the choir director use to find x, the number of items that must be collected daily to reach the goal?
a)
7x + 397 > 500
b)
397 - 7x < 500
c)
397 + 7x ≤ 500
d)
7x - 397 ≥ 500
3.
Mona wants to run more than 60 miles this week. She ran a total of 24 miles during the first 4 days of the week. Which number line represents the number of miles Mona must run each day if she wants to meet her goal?
a)
x ≥ 10
b)
x = 12
c)
x > 10
d)
x > 12
4.
Brandi and her friends are attending a concert and have a total of $500 to spend. They buy 3 tickets, spending the same amount on each ticket. If they have $215 left, which number line represents the amount Brandi and her friends spent on each of the 3 concert tickets?
a)
x < 95
b)
x = 95
c)
x > 95
d)
x = 92, 93, 94, 95
5.
Which problem situation could the inequality below represent?
435 + 5x ≤ 1200
435 + 5x ≤ 1200
a)
Max wants to take a 5 day vacation. His airfare will cost $1,200. What is x, the number of nights he can stay in a hotel with his remaining $435?
b)
Max wants to take a 5 day vacation. He has $1,200 to spend on his airfare and hotel room. If the airfare is $435, what is x, the nightly rate Max can pay for a hotel room?
c)
Max wants to take a 5 day vacation. His hotel room will cost $435 per night, and his airfare will cost $1,200. What is x, the amount Max will pay for airfare and a hotel room for 5 nights?
d)
Max wants to take a 5 day vacation. He needs a total of $1,200 for his airfare and hotel room, but he only has $435 so far. What is x, the amount of money Max still needs for his vacation?
6.
Which problem situation could the equation below represent?
45 - 3x = 6
45 - 3x = 6
a)
George bought 45 candy bars and received 3 more candy bars from each of his friends. What is x, the number of friends who gave candy bars to George?
b)
George bought 45 candy bars and received 6 more candy bars from each of his friends. What is x, the number of friends who gave candy bars to George?
c)
George bought 45 candy bars and gave 3 to each of his friends. If he had 6 candy bars left over, what is x, the number of friends who received candy bars from George?
d)
George bought 45 candy bars and gave 6 to each of his friends. If he had 3 candy bars left over, what is x, the number of friends who received candy bars from George?
7.
Solve the equation 4x + 108 = 144
a)
x = 63
b)
x = 9
c)
x = 12
d)
x = -72
8.
Solve the equation 3x + 40 = 175
a)
x = -47.5
b)
x = 67.5
c)
x = -45
d)
x = 45
9.
Solve this equation
2x + 5 = 73
2x + 5 = 73
a)
x = 39
b)
x = 68
c)
x = 34
d)
x = 31.5
10.
In the equation 9x - 1 + 80, the value of x is...
a)
8.7
b)
9
c)
10
d)
729
11.
Which number line represents the solution for the inequality 45 + 4x ≥ 125
a)
x > 20
b)
x ≥ 20
c)
x < 20
d)
x = 20, 21, 22, 23, 24, 25, 26
12.
Which expression represents the solutions for the inequality (x ÷ 10) - 16 < 24
a)
x < 4
b)
x ≤ 40
c)
x < 40
d)
x < 400
13.
In which of the following equations does b = 3?
a)
3 - 24b = 75
b)
65 + 9b = 38
c)
-2b + 30 = 24
d)
102b - 21 = -55
14.
Look at the equation below.
435 - 2x = 401
What is the value of x?
435 - 2x = 401
What is the value of x?
a)
-34
b)
-17
c)
17
d)
34
100 %
