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WorksheetsComprehensive Systems Review
Total questions: 15
Worksheet time: 58mins
Name
Class
Date
1.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
2.
Zhihan 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)
3.
Solve for x and y
2x − 3y = −1
y = x − 1
2x − 3y = −1
y = x − 1
a)
(-2,-3)
b)
(0,-1)
c)
(3,4)
d)
(4,3)
4.
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
5.
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)
6.
In a pasture are horses and chickens. If there are a total of 28 animals and 80 legs, how many chickens and horses?
a)
10 horses, 18 chickens
b)
16 horses, 12 chickens
c)
12 horses, 16 chickens
d)
18 horses, 10 chickens
7.
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
8.
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
9.
If 3x - 2y = 14 and 2x + 2y = 6,
what are x and y?
what are x and y?
a)
x = 1, y = 2
b)
x = 2, y = 1
c)
x = -4, y = 1
d)
x = 4, y = -1
10.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
coinsiding lines
11.
The system pictured is:
a)
y > -2 + x
y ≤ 2x + 2
y ≤ 2x + 2
b)
y > 2 + x
y ≤ 2x + 2
y ≤ 2x + 2
c)
y ≥ -2 + x
y ≤ 2x + 2
y ≤ 2x + 2
d)
none of these are the system
12.
Match
a)
x ≥ -1
b)
x ≤ -1
c)
x > -1
d)
x < -1
13.
Match
a)
y > -1/5x - 1/2 and y ≥ -2x - 4
b)
y > -1/5x - 1/2 and y ≤ -2x - 4
c)
y ≥ -1/5x - 1/2 and y ≤ -2x - 4
d)
y < -1/5x - 1/2 and y ≥ -2x - 4
14.
The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 63 greater than the original number. Find the original number. Choose correct system and solution.
a)
t + u = 9 and 10u + t = 10u + t + 63 solution: 18
b)
t + u = 9 and 10u + t = 10t + u + 63
solution: 18
solution: 18
c)
t + u = 9 and 10u + t = 10t + u - 63 solution: 81
d)
t + u = 9 and 10u + t = 10t + u solution: 81
15.
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.
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