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WorksheetsSystems of Equations and Inequalities
Total questions: 13
Worksheet time: 37mins
Name
Class
Date
1.
What is the solution to the system?
a)
(6, 8)
b)
(8, 6)
c)
(-6, 8)
d)
No solution
2.
What is the solution?
a)
No solution
b)
(0, 2)
c)
(0, -4)
d)
(3, -3)
3.
Solve the following system by graphing. What is the solution?
a)
Infinite number of solutions
b)
(3, 3)
c)
(3, -3)
d)
(-3, 3)
4.
Solve the following system by graphing. What is the solution?
a)
(3, -1)
b)
(-1, -3)
c)
(-1, -1)
d)
(-1, 3)
5.
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
6.
Will the solution (-3, -7) make the following system of equations a true statement?
y = 4x + 5
y = x – 4
y = 4x + 5
y = x – 4
a)
YES
b)
NO
7.
Is the point (1, -1) a solution to the system:
3x - y = 4 and 7x + 2y = -5 ?
3x - y = 4 and 7x + 2y = -5 ?
a)
Yes
b)
No
8.
Match the system to the graph (solution set is on the left)
a)
y ≤ 3x and y ≤ -2x + 4
b)
y > 3x and y > -2x + 4
c)
y < 3x and y > -2x + 3
d)
y > 3x and y < -2x + 4
9.
Which of the following is not a solution to this system of inequalities?
a)
(0,-1)
b)
(0,3)
c)
(4,0)
d)
(6,-2)
10.
Which system of inequalities is shown?
a)
y ≥ -x - 1
y < x + 4
y < x + 4
b)
y < -x - 1
y ≥ x + 4
y ≥ x + 4
c)
y > -x - 1
y ≥ x + 4
y ≥ x + 4
d)
y > -x - 1
y ≥ x + 3
y ≥ x + 3
11.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
12.
Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?
a)
x+y=134
x+y=120
x+y=120
b)
3x+3y=134
4x+3y=120
4x+3y=120
c)
4x+3y=134
3x+3y=120
3x+3y=120
d)
7xy=134
6xy=120
6xy=120
13.
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)
1.5x+0.5y=78.5
x+y=87
x+y=87
b)
1.5x+0.5y=78.5
1.5x+0.5y=87
1.5x+0.5y=87
c)
x+y=78.5
1.5x+0.5y=87
1.5x+0.5y=87
d)
x+y=78.5
x+y=87
x+y=87
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