WorksheetsLinear Systems
Total questions: 18
Worksheet time: 3hrs 20mins
Name
Class
Date
1.
How many solutions does this linear system have?
a)
One Solution
b)
No Solutions
c)
Infinite Solutions
d)
Two Solutions
2.
How many solutions does the linear system have?
a)
One Solution
b)
No Solutions
c)
Infinite Solutions
d)
Two Solutions
3.
How many solutions does the linear system have?
a)
One Solution
b)
No Solutions
c)
Infinite Solutions
d)
Two Solutions
4.
Give the solution to the system
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
a hoppy hippo
5.
Find the solution to the system
x − y = 3
7x − y = −3
x − y = 3
7x − y = −3
a)
(4,1)
b)
(-1,-4)
c)
(-1,-1)
d)
vanilla
6.
Find the solution to the system
4x – 3y = 5
y = 2x – 3
4x – 3y = 5
y = 2x – 3
a)
(2,1)
b)
(1,2)
c)
(2,2)
d)
the answer is not listed
7.
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. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.
a)
a + c = 21
6a + 4c = 104
6a + 4c = 104
b)
a + c = 104
6a + 4c = 21
6a + 4c = 21
c)
a + c = 21
6c + 4a = 104
6c + 4a = 104
d)
a + c = 104
6c + 4a = 21
6c + 4a = 21
8.
What is the solution to this system of equations?
a)
(4, -1)
b)
(-1, 4)
c)
(-4, 1)
d)
(-4, -1)
9.
Solve the system of equations.
x + 2y = -3
x - y = -12
x + 2y = -3
x - y = -12
a)
(-9, 3)
b)
(-7 ,5)
c)
(3, 15)
d)
(9, 6)
10.
Solve for x and y
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
11.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
12.
Given the equation
4x + 2y = 10 (standard form), what is the slope-intercept form of this equations?
4x + 2y = 10 (standard form), what is the slope-intercept form of this equations?
a)
y = 2x + 5
b)
y = -2x + 5
c)
y = 4x + 10
d)
y = -2x - 10
13.
Solve:
8x + 4y = 12
y = -2x + 3
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
14.
A jar of dimes and quarters contains $15.25. There are 103 coins in all. How many of each are there?
a)
33 dimes and 70 quarters
b)
22 dimes and 70 quarters
c)
33 quarters & 70 dimes
d)
Is this a trick question? 103 pennies.
15.
Solve:
y = 2x -11
-3y = -6x -15
y = 2x -11
-3y = -6x -15
a)
(-1.5,-4)
b)
(1.5,4)
c)
No solution (parallel lines)
d)
Infinitely many solutions
16.
Michelangelo decided to order Pizza Hut last night. He purchased 3 pizzas and 2 orders of breadsticks for a total of $29.50. Donatello ordered 2 pizzas and 3 orders of breadsticks last Sunday for a total of $23. Set up a system. Let "p" represent the price per pizza and "b" represent the price of an order of breaksticks.
a)
3p + 2b = 29.50
2p + 3b = 23
2p + 3b = 23
b)
3p + 2b = 23
2p + 3b = 29.50
2p + 3b = 29.50
c)
3b + 2p = 29.50
2b + 3p = 23
2b + 3p = 23
d)
5bp = 29.50
5bp = 23
5bp = 23
17.
You and a friend went to Los Tios for lunch. You order 2 tacos and 2 enchiladas. Your friend ordered 3 tacos and 1 enchilada. Your friend's bill was $4.00. You paid $4.80. Let "t" represent the price per taco and "e" represent the price per enchilada.
a)
2t + 2e = 4.80
3t + e = 4.00
3t + e = 4.00
b)
2t + 2e = 4.00
3t + e = 4.80
3t + e = 4.80
c)
2e + 2t = 4.80
3e + t = 4.00
3e + t = 4.00
d)
2e + 2t = 4.00
3e + t = 4.80
3e + t = 4.80
18.
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?
a)
y = 9.65 + x
y = 8.40 + x
y = 8.40 + x
b)
y = 9.65x + 43
y = 8.40x + 58
y = 8.40x + 58
c)
y =9.65x
y = 8.40x
y = 8.40x
d)
y = 9.65x - 43
y = 8.40x - 58
y = 8.40x - 58
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