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WorksheetsUnit 6 Review
Total questions: 30
Worksheet time: 1hrs 29mins
Name
Class
Date
1.
-4x-2y=-12
4x+8y=-24
4x+8y=-24
a)
(5,6)
b)
(6,-6)
c)
(6,-2)
d)
(4,-3)
2.
4x+8y=20
-4x+2y=-30
-4x+2y=-30
a)
(-7,1)
b)
(2,-5)
c)
(-2,5)
d)
(7,-1)
3.
x-y=11
2x+y=19
2x+y=19
a)
(10,-1)
b)
(-1,10)
c)
(3,-4)
d)
(6,7)
4.
What is the solution?
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
5.
This system has _____ solutions
a)
no
b)
1
c)
2
d)
Infinitely many
6.
What is the solution?
(Hint: Both lines are graphed over each other)
(Hint: Both lines are graphed over each other)
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
7.
2x - y = 0
4x - y = 0
a)
(1,2)
b)
(0,0)
c)
No Solutions
d)
Infinite Solutions
8.
Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
9.
Parallel Lines never intersect because...
a)
they have the same slopes.
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts.
10.
What is the solution to this system?
x - y = 6
y= 2x - 5
x - y = 6
y= 2x - 5
a)
(1,3)
b)
(-1,3)
c)
(-1,-7)
d)
(1,-7)
11.
Solve:
y = 7x + 9
2y + 2x = -18
y = 7x + 9
2y + 2x = -18
a)
(5, 0)
b)
(9, 18)
c)
(-2, -5)
d)
(1, 16)
12.
Solve by elimination
5x+6y= -10
3x-2y= -6
5x+6y= -10
3x-2y= -6
a)
(-2,0)
b)
(0,-2)
c)
(2,0)
d)
(0,2)
13.
A bus travels two different routes: The Green Route and the Blue Route. The routes are different lengths.
On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles.
On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles.
What is the length of the Green Route in miles?
a)
4.4 mi
b)
4.5 mi
c)
6.4 mi
d)
6.8 mi
14.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?
a)
3x + 2y = 315
2x + 4y = 450
2x + 4y = 450
b)
3x + 2y = 450
2x + 4y = 315
2x + 4y = 315
c)
2x + 2y = 315
3x + 4y = 450
3x + 4y = 450
15.
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
16.
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
17.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
18.
Solve:
y = 7x + 9
2y + 2x = -18
y = 7x + 9
2y + 2x = -18
a)
(5, 0)
b)
(9, 18)
c)
(-2, -5)
d)
(1, 16)
19.
Solve:
5x+6y= -10
3x-2y= -6
5x+6y= -10
3x-2y= -6
a)
(-2,0)
b)
(0,-2)
c)
(2,0)
d)
(0,2)
20.
What is the solution to this system?
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
21.
Solve by elimination:
4x+9y=28
-4x-y=-28
4x+9y=28
-4x-y=-28
a)
(-7,0)
b)
(6,0)
c)
(-6,0)
d)
(7,0)
22.
Solve by elimination:
3x+7y=23
-3x-7y=-17
3x+7y=23
-3x-7y=-17
a)
No solution
b)
ARN
c)
(-3,3)
d)
(3,3)
23.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
24.
Solve by elimination
-12x-10y= 0
6x+5y= -1
-12x-10y= 0
6x+5y= -1
a)
infinite solutions
b)
(0,0)
c)
no solution
d)
(2,1)
25.
Solve by elimination
-2x+6y= 16
-4x-3y= 2
-2x+6y= 16
-4x-3y= 2
a)
(2,2)
b)
(-2, -2)
c)
(-2,2)
d)
(2,1)
26.
Solve the system by elimination:
-3x -3y =12
-3x +3y = -24
-3x -3y =12
-3x +3y = -24
a)
(3, 4)
b)
(3, -2)
c)
no solution
d)
(2, -6)
27.
Solve the system by elimination:
7x+y=6
10x+y=12
7x+y=6
10x+y=12
a)
(1,-1)
b)
(2,8)
c)
(2, -8)
d)
(1, 15)
28.
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?
a)
1s + 3c = 38
2s + 3c = 52
2s + 3c = 52
b)
3s + 1c = 38
3s + 2c = 52
3s + 2c = 52
c)
s + c = 38
s + c = 52
s + c = 52
d)
3s + 3c = 38
1s + 2c = 52
1s + 2c = 52
29.
On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. 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
30.
1. The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.
a)
5q + 2z = 1.32
1z = 0.75
1z = 0.75
b)
5q + 2z = 1.32
3q + 1z = 0.75
3q + 1z = 0.75
c)
q + z = 1.32
q + z = 0.75
q + z = 0.75
d)
5q + 2z = 0.75
3q + 1z = 1.32
3q + 1z = 1.32
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