WorksheetsPRACTICE QUIZ: LINEAR SYSTEMS
Total questions: 20
Worksheet time: 2hrs 45mins
What is the value of the x-coordinate to the solution to this system of linear equations?
2x + 3y = 15 and -x + 3y = 3
(a)
What is the solution to this system of equations?
Write your answer in this form: ( , )
(a)
When both lines in a system are identical, the system has __________________.
infinite solutions
one solution
no solution
parallel solutions
3x - y = 7
2x + y = 3
If a system of linear equations has one solution, what does this mean about its slopes and y - intercept?
Equal Slopes and Equal y-interceps
Equal Slopes but Not Equal y-intercepts
Not Equal Slopes and Either Equal or Not Equal y-intercepts
None of the above
Yes
No
What is the value of the y-coordinate in this system of linear equations?
6x + 10y = -32 and 6x + 9y = -27
(a)
Solve the system of equations.
4x + 2y = 10
-3x - 3y = -18
WRITE YOUR ANSWER IN THIS FORM (x, y)
(a)
y = 4x+1
3x + 2y = 13
5c + 10d = 16.50
5c + 10d = 14.25
5c + 10d = 16.50
5c + 10d = 16.50
Solve for x and y. y = 2/3x - 2 y = -x + 3
Write the answer in (x,y) form
(a)
Solve the following system of equations using the substitution method:
y=3x−8
y=4−x
y=7.30+.90x
x + y = 7.30
y = 7.30 + .65x
y + .65x = 7.30
Solve the following system of equations using the substitution method:
Write the solution in (x,y) form
(a)
On the windowsill is a plant that is 15 centimeters tall. It is growing 2 centimeters per week. A second plant, which is 5 centimeters tall, is on the coffee table. It is growing 4 centimeters per week. Eventually the two plants will be the same height. How many weeks will that take?
(a)
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.
_______Nachos and ________Sodas
(a)
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. How many nickels and dimes did Dennis earn?
______ nickels and ______dimes
(a)
Pam and her friend Meg are knitting scarves for the homeless. Pam had already completed 10 scarves and has committed to making 3 more scarves per day. Meg, who hasn't completed any scarves yet, has more free time and can make 4 scarves per day. At some point, Meg will catch up and they will both have completed the same number of scarves. How many scarves will each woman have finished?
10 days
10 scarves
40 scarves
40 days
