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Worksheets7th Equations and inequalities
Total questions: 28
Worksheet time: 2hrs 2mins
Name
Class
Date
1.
Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.
a)
3 hours
b)
4 hours
c)
1 hour
d)
2 hours
2.
Solve: -2x ≤ 14
a)
x ≤ 7
b)
x ≤ -7
c)
x ≥ 7
d)
x ≥ -7
3.
25 < X - 10
a)
X > 35
b)
X < 35
c)
X > -35
d)
X < -35
4.
Solve the inequality.
-3w - 2 < -17
-3w - 2 < -17
a)
w < 7.67
b)
w > 5
c)
w < 5
d)
w < 6.33
5.
Translate:
Four times a number plus six is 30.
Four times a number plus six is 30.
a)
4 + 6 = 30
b)
4x + 6 = 30
c)
x + 4 times 6 = 30
d)
30 = 4x
6.
Translate the sentence into an equation:
Four more than six times a number is 18.
Four more than six times a number is 18.
a)
10x = 18
b)
4x + 6 = 18
c)
4 + 6x = 18
d)
not enough info
7.
A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?
a)
18 miles
b)
20 miles
c)
22 miles
8.
A plumber fixed a leaky sink and charged $55 for parts and $45 per hour for labor. The total bill was $190. Which of the following equations can be used to find how many hours (x) the plumber spend fixing the sink?
a)
55x + 45x = 190
b)
55 + 45x = 190
c)
55 + 45 = 190x
d)
45 + 55x = 190
9.
While at the music store, Drew bought 5 CDs, all at the same price. The tax on his purchase was $6, and the total was $61. What was the price of each CD?
a)
5x + 6 = 61
b)
x/5 + 6 = 61
c)
5/x + 6 = 61
d)
x + 5 + 6 = 61
10.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
c)
≤, <
d)
≥, >
11.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
12.
Match:
You must be at least 48 inches tall to ride the bumper cars.
You must be at least 48 inches tall to ride the bumper cars.
a)
h < 48
b)
h > 48
c)
h ≤ 48
d)
h ≥ 48
13.
x is no more than 13
a)
x < 13
b)
x > 13
c)
x ≥ 13
d)
x ≤ 13
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.
Solve for x:
5x - 14 = 8x + 4
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
16.
7x = 3x + 24
a)
6
b)
10
c)
14
d)
4
17.
Melissa wants to spend no more than $300 on school clothes. She spends $75 on a coat and then wants to buy some sweaters that are on special for $10 each. Write an inequality to show how many sweaters Melissa can buy. DO NOT SOLVE
a)
75x-10 ≥ 300
b)
75+10 ≤ 300x
c)
10x ≥ 300
d)
75+10x ≤ 300
18.
You buy a gym membership for $60 and then pay $40 each month. If you have at most $220 to spend on the membership, how many months can you use the gym?
a)
3.75 months
b)
4 months
c)
3 months
d)
3.5 months
19.
3y = 8 + 10
a)
y = 6
b)
y = 18
c)
y = 8
d)
y = 54
20.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
21.
Do I need to flip my sign when I solve the inequality?
-3x ≥ 12
-3x ≥ 12
a)
Yes
b)
No
22.
Solve:
10 < 3x + 19
10 < 3x + 19
a)
x < 3
b)
x > 3
c)
x < -3
d)
x > -3
23.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
24.
-9a - 1 < 26
a)
a<-3
b)
a<3
c)
a>-3
d)
a>3
25.
52x + 7 − 53x = 12
(a)
26.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
27.
-(n - 8) = -2
a)
6
b)
10
c)
-10
d)
-6
28.
Solve
-19 = -8 (-4+a) - (2a+1)
a)
-1
b)
14
c)
-5
d)
5
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