WorksheetsEquations & Inequalities
Total questions: 40
Worksheet time: 2hrs 18mins
Name
Class
Date
1.
7w + 5 = 3w - 15
a)
5
b)
-2
c)
2
d)
-5
2.
Solve: 5x + 34 = -2(-7x + 1)
a)
-4
b)
9
c)
4
d)
36/19
3.
WRITE AN EQUATION
Jill sold half of her comic books and then got sixteen more. She now has 36. With how many did she begin?
Jill sold half of her comic books and then got sixteen more. She now has 36. With how many did she begin?
a)
x/2 + 16= 36
b)
36 + 16 = x
c)
x/2 - 16 = 36
d)
x/2 = 36 + 16
4.
Joe's BBQ sells BBQ by the pound. Michelle buys $8.75 worth of sides and then 6 pounds of barbeque. If her total bill was $40.55, how much was each pound of barbeque?
a)
$5.30
b)
$3.95
c)
$8.22
d)
$5.32
5.
Jason says that 10 less than one third of his age is 11 years old. How old is Jason?
a)
3 years old
b)
7 years old
c)
57 years old
d)
63 years old
6.
4 times a number increased by 5 is the same as 3 times the difference of a number and 2. Which of the following equations would find the number?
a)
4n + 5 = 3n - 2
b)
4n + 5 = 3(n - 2)
c)
4n+5 = 3(n + 2)
d)
4n + 5 = 3 - 2n
7.
Solve for x.
2x + 1 = 3x + 1 - x
2x + 1 = 3x + 1 - x
a)
x = 0
b)
x = 1
c)
No Solution
d)
Infinite Solutions
8.
The Johnson family wants to join a gym. There is a fee of $125 to join plus $45 per month membership fee. They budgeted $800 for the gym membership. Which equation shows how many months will they be able to have a membership?
a)
125 + 800x = 45
b)
45x + 125 = 800
c)
125x + 45 = 800
d)
45x - 125 = 800
9.
Zach has six shirts. This is 4 less than twice the number of shirts that Zavier has. How many shirts does Zavier have?
a)
5
b)
8
c)
1
d)
3
10.
Eight more than three times a number is -22. What is the number?
a)
10
b)
-10
c)
7
d)
-7.3
11.
Jackie's mother is 28 years old. This is eight more than 4 times Jackie's age. How old is Jackie?
a)
5
b)
9
c)
6
d)
4
12.
A baseball bat costs $41. This is $9 more than four times the wholesale cost of the bat. Find the bat's wholesale cost.
a)
$8
b)
$12.50
c)
$19.25
d)
$50
13.
The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?
a)
6x + 8 ≥ 42
b)
8x + 6 ≤ 42
c)
6x + 8 > 42
d)
8x + 6 < 42
14.
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on the taxi ride.
a)
1.75 + 0.65m < 10
b)
1.75 + 0.65m > 10
c)
1.75m + 0.65 < 10
d)
1.75m + 0.65 > 10
15.
Solve:
11x + 16 < 43 + 2x
11x + 16 < 43 + 2x
a)
x < 5
b)
x < 3
c)
x > 5
d)
x > 3
16.
It costs Amy $0.20 to send a text message. She has already spent $5 in text messages this month. If she has a total of $12 that can spend this month on text messages, write and solve an inequality that will give the greatest number of text messages that she can send.
a)
0.20x + 5 = 12;
85 text messages
85 text messages
b)
0.20(5x) = 12;
12 text messages
12 text messages
c)
0.20x + 5 ≤ 12;
x ≤ 35
x ≤ 35
d)
0.20x + 5 ≥ 12;
x ≥ 35
x ≥ 35
17.
Solve the inequality:
-4a < 2(a + 12).
-4a < 2(a + 12).
a)
a > -4
b)
a < 4
c)
a > 12
d)
a < -4
18.
-2(5 + 6n) < 6(8 − 2n)
a)
no solution
b)
infinite solution
c)
x < 0
d)
x > 0
19.
Who is this?
a)
Lilo
b)
Lilian
c)
Lily
d)
Liro
20.
Who is this?
a)
Pochahontas
b)
Mulan
c)
Indian Girl
d)
Pocha
21.
Who is this?
a)
Buzz
b)
Woody
c)
Lumber
d)
Slink
22.
What Disney character is this?
a)
Jaclose
b)
Jason
c)
Jafar
d)
Tim
23.
Who is this
a)
Elsa and Anna
b)
Rapunzel
c)
Mickey
d)
Tiana
24.
2. Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday. She made a total of $96 last week. Which equation models this situation?
a)
96h + 15 = 8
b)
h/96 = 8
c)
8h + 15 = 96
d)
h/8 = 96
25.
Identify the inequality that matches this statement:
The difference of y and 5 is greater than 13.
The difference of y and 5 is greater than 13.
a)
y > 13
b)
y - 5 ≥ 13
c)
y + 5 > 13
d)
y - 5 > 13
26.
Solve for z:
8z - 22 = 3 ( 3z + 11) - z
8z - 22 = 3 ( 3z + 11) - z
a)
No Solution
b)
z = 0
c)
Identity
d)
z = 5
27.
Solve:
-5(6b - 7) - 5 > 3b - 3
-5(6b - 7) - 5 > 3b - 3
a)
b < 1
b)
b < 15
c)
b < 5
d)
b < 30
28.
Which situation can be represented by the equation 56 = 2x - 10 ?
a)
Sam's age is 10 more than twice the age of Teddy's age. Sam is 56 years old. How old is Teddy?
b)
Sam's age is 10 decreased by twice Teddy's age. Teddy is 56 years old. How old is Sam?
c)
Teddy's age is twice Sam's age decreased by 10 years. Teddy is 56 years old. How old is Sam?
d)
Teddy's age is 10 less than twice Sam's age. Sam is 56 years old. How old is Teddy?
29.
Rylan bought sixty-seven tickets at the state fair. He spent twenty-two tickets at the 'dunk a clown' booth and decided to use the rest on rides. If each ride cost five tickets, how many rides could he go on?
a)
6 rides
b)
7 rides
c)
8 rides
d)
9 rides
30.
Mr. Piper's plumbing needed repairs. The plumber charged $98 for parts plus $45 per hour for labor. If the bill totaled $458, how could I find out the hours of labored required?
a)
98 - 45x = 458
b)
98 + 45x = 458
c)
45 + 98 = 458
d)
45x - 98 = 458
31.
Five plus a number is less than 10 minus two times the number.
a)
5 + n > 10 - 2n
b)
5 + n < 10 - 2n
c)
5 + n < 2n - 10
d)
5 + n > 2n - 10
32.
Seven times a number plus three is less than the product of the number and 9.
a)
7x + 3 < 9x
b)
7x + 3 > 9x
c)
7x + 3 < x/9
d)
7x + 3 > x/9
33.
The quotient of a number and 4 is greater than six plus the number.
a)
b/4 > 6 + b
b)
b/4 < 6 + b
c)
b4 < 6 + b
d)
b4 > 6 + b
34.
Solve
a)
p ≤ -12
b)
p ≥ -12
c)
p ≤ 20
d)
p ≥ 20
35.
Solve:
3 (3x + 4) < 9 (x - 3)
3 (3x + 4) < 9 (x - 3)
a)
Infinite Solutions
b)
No Solution
c)
x > -39
d)
x < -39
36.
Solve.
½x - 6 = ¼x + 4
½x - 6 = ¼x + 4
a)
s = -40
b)
s= 40
c)
s=20
d)
s= -20
37.
Select the situation that could be modeled by: 12 + 5x = 18+3x
a)
Derek charges a base fee of $12 to walk a dog plus $5 per hour. Darla charges a base fee of $18 plus $3 an hour to walk a dog. After how many hours would they make the same amount of money?
b)
Andy buys 12 sodas for $5 each. Alex buys 18 sodas for $3 each. If they each spent the same amount, how much did they spend?
c)
Brian charges $12 for a hat and $5 per shirt. Blake buys 3 hats and 18 shirts. How many hats and shirts must they sell to make the same amount of money?
d)
Charlie sells dozens of eggs for $5. Calvin sells a dozen and a half eggs for $3 each. How many do they have to sell to make the same amount of money?
38.
Select the situation that could be modeled by: 120 + 25x = 45x.
a)
John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?
b)
George charges a flat fee of $120 to mow a lawn plus $25 an hour. Greg charges $45 a hour to mow a lawn. After how many hours do they make the same amount?
c)
Lisa pays $120 for each purse she buys plus an additional $25 to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?
d)
A cell phone company charges $25 for service and $120 per gigabyte. Another company charges $45 per gigabyte. For how many gigabytes would the price be the same?
39.
Solve.
⅓x + 10 = ¾x + 5
⅓x + 10 = ¾x + 5
a)
x = 1
b)
x = -1
c)
x = 12
d)
x = -12
40.
-(n - 8) = -2
a)
6
b)
10
c)
-10
d)
-6
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