WorksheetsWord problems systems
Total questions: 16
Worksheet time: 2hrs 18mins
Name
Class
Date
1.
On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?
a)
10c + 5d = 14.25
5c + 10d = 16.50
5c + 10d = 16.50
b)
10c + 5d = 16.50
5c + 10d = 14.25
5c + 10d = 14.25
c)
c + d = 10
5c + 10d = 16.50
5c + 10d = 16.50
d)
c + d = 5
5c + 10d = 16.50
5c + 10d = 16.50
2.
Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation?
a)
x + y = 6
14.80x + 17y = 91
14.80x + 17y = 91
b)
x + y = 91
14.80x + 17y = 6
14.80x + 17y = 6
c)
x + y = 6
14.80y + 17x = 91
14.80y + 17x = 91
d)
x + y = 91
14.80x+ 17y = 6
14.80x+ 17y = 6
3.
Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system:
x + y = 21
6x + 4y = 104
x + y = 21
6x + 4y = 104
a)
(10, 11)
b)
(12, 9)
c)
(11, 10)
d)
(9, 12)
4.
Solve using elimination.
4x + 8y = 20
-4x + 2y = -30
4x + 8y = 20
-4x + 2y = -30
a)
(-7,1)
b)
(2,-5)
c)
(-2,5)
d)
(7,-1)
5.
Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?
a)
d + n = 6.60
.10d + .05n = 80
.10d + .05n = 80
b)
d + n = 80
d + n = 6.60
d + n = 6.60
c)
d + n = 80
.10d + .05n = 6.60
.10d + .05n = 6.60
d)
d + n = 80
.05d + .10n = 6.60
.05d + .10n = 6.60
6.
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?
a)
(35, 52)
b)
(18, 69)
c)
( 52, 35)
d)
(61, 26)
7.
In a pasture, there are horses and chickens. If there are a total of 28 animals and 80 legs, how many chickens and horses are there?
a)
10 horses, 18 chickens
b)
16 horses, 12 chickens
c)
12 horses, 16 chickens
d)
18 horses, 10 chickens
8.
Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?
a)
$5
b)
$10
c)
$15
d)
$20
9.
Five less than twice a number is equivalent to 47.
a)
5 - 2x = 47
b)
2x - 5 = 47
c)
5x - 2 = 47
d)
2 - 5x = 47
10.
10 less that half a number is equivalent to 8.
a)
10 - 1⁄2x = 8
b)
1⁄2x + 10 = 8
c)
1⁄2x - 10 = 8
d)
10x - 0.5 = 8
11.
Three times the sum of a number and 7 is equivalent to 57.
a)
3x + 7 = 57
b)
3(x + 7) = 57
c)
7x + 3 = 57
d)
7(x + 3) = 57
12.
Translate the sentence into an equation, and then solve the equation:
Three less than a number is 18.
Three less than a number is 18.
a)
3 - x = 18; x = -15
b)
3 - x = 18; x = 21
c)
x - 3 = 18; x = 21
d)
x - 3 = 18; x = -15
13.
Josh is thinking of two numbers. Their sum is -10 and their difference is -2. Which system of equations represents the situation?
a)
x - y = -10
x + y = -2
x + y = -2
b)
x = -2
y = 5
y = 5
c)
x + y = -2
x - y = -10
x - y = -10
d)
x + y = -10
x - y = -2
x - y = -2
14.
The sum of Mr. Micklow and Ms. Craft's age is 55. The difference is 3.
Solve:
x + y = 55
x - y = 3
Solve:
x + y = 55
x - y = 3
a)
(26, 23)
b)
(26, 29)
c)
(29, 26)
d)
(29, 32)
15.
The difference of a and b is 3. The sum of the variables is 13. Find the numbers.
a)
a = 7
b = 10
b = 10
b)
a = 8
b = 5
b = 5
c)
a = 10
b = 13
b = 13
16.
Which of the following is not a method for solving systems of equations
a)
Elimination
b)
Substitution
c)
Estimation
d)
Graphing
100 %
