WorksheetsSystems Review
Total questions: 24
Worksheet time: 3hrs 4mins
Name
Class
Date
1.
Give the solution to the system
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
No solution
2.
How many solutions will this system have?
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
3.
When you graph the exact same equation twice,
a)
you will have no solution.
b)
you will have one solution.
c)
you will have infinite solutions.
d)
you will graph a giraffe.
4.
Solve for x and y
5x + 3y = 7
y = 4
5x + 3y = 7
y = 4
a)
(4,1)
b)
(4,-1)
c)
(1,4)
d)
(-1,4)
5.
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
6.
The solution (x, y) to a system of equations is the point where they...?
a)
Run off the graph
b)
Don't touch
c)
Intersect
d)
Exist
7.
If a system of linear equations has one solution, what does this mean about the two lines?
a)
Parallel lines
b)
the same line
c)
Intersecting lines
8.
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
9.
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
10.
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
11.
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
12.
Lisa and Tammy are selling items at the craft show. Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount?
a)
(1, 12)
b)
(3, 19)
c)
(5, 25)
d)
(0, 10)
13.
The equations of two lines are 6x + y = 26 and y = 2x + 10. If the solution is (2, y), what is the value of y?
a)
14
b)
4
c)
6
d)
2
14.
Solve the system.
a)
(3, -2, 4)
b)
(2, -3, 1)
c)
(-3, 2, -1)
d)
Infinitely many solutions
15.
How many solutions does this system of equations have?
a)
one solution
b)
two solutions
c)
no solutions
d)
All of the above
16.
How many solutions does this system of equations have?
a)
one solution
b)
two solutions
c)
three solutions
d)
no solutions
17.
Determine the solution to the given linear-quadratic function.
a)
(0, 0)
b)
(3, 0)
c)
(2, -3)
d)
(-3, 2)
18.
Find the solution.
a)
(4,2) and (0,9)
b)
(-4,-1) and (2,5)
c)
(5,3) and (5,2)
d)
(-4,2) and (5,9)
19.
Determine the number of solutions to the given linear-quadratic system.
a)
0 solutions
b)
1 solution
c)
2 solutions
d)
3 solutions
20.
Two equations were graphed on the set of axes below. Which point is a solution to the system of equations ?
a)
(0,3)
b)
(5,0)
c)
(2,-3)
d)
(8,9)
21.
What are the solutions to this quadratic/ linear system?
a)
(-2, 0) and (3,0)
b)
No Solutions
c)
-6 and -10
d)
(1,-6)
22.
Solve the system.
a)
(5, -6, 3)
b)
(2, 3, -1)
c)
(-4, 2, 5)
d)
No Solution
23.
Solve the system.
a)
(3, -2, 4)
b)
(2, -3, 1)
c)
(-3, 2, -1)
d)
Infinitely many solutions
24.
A solution of a system of equations will make _____ equations true, when x and y are plugged in
a)
The first
b)
The second
c)
Both
d)
Neither
100 %
