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WorksheetsSystems Equations & Inequalities
Total questions: 15
Worksheet time: 39mins
Name
Class
Date
1.
What is the solution to this system?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
2.
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.
3.
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
4.
Solve by substitution method
y = x + 24
y = -7x
y = x + 24
y = -7x
a)
-3,21
b)
3,21
c)
2,21
d)
-2,0
5.
Solve the system by substitution.
5x + 4y= −14
y = −7x − 15
5x + 4y= −14
y = −7x − 15
a)
(-2, -1)
b)
(1, -2)
c)
(-2, 1)
d)
(-1, -2)
6.
Solve by elimination method
-4x-2y=-12
4x+8y=-24
-4x-2y=-12
4x+8y=-24
a)
(6,-6)
b)
(5,6)
c)
(-7,2)
d)
(-1,3)
7.
Solve by using elimination method
5x+y=9
10x-7y=-18
5x+y=9
10x-7y=-18
a)
(2,3)
b)
(1,4)
c)
(7,2)
d)
(1,10)
8.
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
9.
Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.
a)
x + y = 33
y = 2x - 3
y = 2x - 3
b)
x + y = 33
x = 2y - 3
x = 2y - 3
c)
x + y = 33
x = 3 - 2y
x = 3 - 2y
d)
x + y = 3
x = 33 - 2y
x = 33 - 2y
10.
Caitlin won a bag full of money! She has 49 bills in all. She counts $1,430. There are $20 dollar bills and $50 dollar bills. How many of each bill does Caitlin have?
WRITE a system where T= # of $20 and F = # of $50.
WRITE a system where T= # of $20 and F = # of $50.
a)
T + F = 1430
20T + 50F = 49
20T + 50F = 49
b)
T+ F = 49
10T + 5F = 1430
10T + 5F = 1430
c)
T + F = 49
20T + 50F = 1430
20T + 50F = 1430
d)
T + F = 49
T + F = 1430
T + F = 1430
11.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
12.
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)
13.
JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make? write a system of inequalities to represent the situation.
a)
b + t < 15
3b + 6t > 66
b)
b + t > 15
3b + 6t < 66
c)
3b + 6t > 15
b + t < 66
d)
3b + 6t < 15
b + t < 66
14.
You can work a total of no more than 41 hours each week at your two jobs. Housecleaning pays $5 per hour and your sales job pays $8 per hour. You need to earn at least $254 each week to pay your bills. Write a system to represent the situation.
a)
x+y≤254
5x+8y≥41
5x+8y≥41
b)
x+41≤y
5x+8y≥254
5x+8y≥254
c)
x+y≤41
5x+8y≥254
5x+8y≥254
d)
x+y>41
5x+8y<254
5x+8y<254
15.
Fuel x costs $2 per gallon and fuel y costs $3 per gallon. You have at most $18 to spend on fuel. Your tank can hold 14 gallons at most. Write a system to represent this situation.
a)
x+y≤14
2x+3y≤18
2x+3y≤18
b)
2x+3y≤14
x+y≤18
x+y≤18
c)
2x+y<18
x+3y<14
x+3y<14
d)
x+14≤y
2x+3y≤18
2x+3y≤18
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