WorksheetsUnderstanding Linear Systems
Total questions: 14
Worksheet time: 30mins
Name
Class
Date
1.
Which method would be the best to use to solve this system?
a)
Graphing would be the best because graphs are exact and it is the first method we learned.
b)
Substitution would be best because it is always easier.
c)
Elimination (also called Addition Method) would be easiest because the equations are in standard form.
d)
Solve them both for y and set them equal to each other.
2.
What would the graph of a system of two equations in two variables look like if there is NO SOLUTION?
a)
The lines would be coinciding (the same line).
b)
The lines would be intersecting.
c)
The lines would be perpendicular.
d)
The lines would be parallel.
3.
If you are solving a system of equations by substitution and the result is - 3 = -3 , this means:
a)
There are infinitely many solutions.
b)
There is no solution.
c)
The solution is ( -3, -3).
d)
The solution is ( 3, 3)
4.
For the system of equations:
A: 3x - 2y + 4z = 9
B: -2x + y - 2z = -8
C: 6x - 4y + 5z = 22
A good option for solving this would be:
A: 3x - 2y + 4z = 9
B: -2x + y - 2z = -8
C: 6x - 4y + 5z = 22
A good option for solving this would be:
a)
take 2 times A + B to get equation D,
then take 4 times B + C to get equation E.
then take 4 times B + C to get equation E.
b)
Take A + 2 times B to get D, then
take 2 times A + C to get E.
take 2 times A + C to get E.
c)
take 2 times B + A to get D, then
take -2 times A + C to get E.
take -2 times A + C to get E.
d)
Add A + B + C to get the answer.
5.
Give the solution to the system.
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
(1, -3)
6.
What is a solution of a linear system?
a)
the slope of the line
b)
the y-intercept
c)
the point where the systems intersect
d)
the rise over tun
7.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-5, 4)
c)
(3, 5)
d)
(0, -2)
8.
Match the system of inequalities to the graph.
a)
y ≥ -x - 1 and y < x + 4
b)
y < -x - 1 and y ≥ x + 4
c)
y > -x - 1 and y ≥ x + 4
d)
y > -x - 1 and y < x + 4
9.
Joe bought 2 pairs of jeans and 1 shirt for $120. Sam bought 1 pair of jeans and 3 shirts for $135. What are the two unknowns in this problem?
a)
the number of pair of jeans and shirts
b)
the price of a shirt and a pair of jeans
c)
the total price Sam and Joe paid
d)
the total number of shirts and jeans that Sam and Joe brought
10.
Joe bought 2 pairs of jeans and 1 shirt for $120. Sam bought 1 pair of jeans and 3 shirts for $135. Which equation is correctly set up for the situation above?
a)
2j + s = 135
b)
j + 3s = 135
c)
3s + j = 120
d)
3j + s = 120
11.
Joe bought 2 pairs of jeans and 1 shirt for $120. Sam bought 1 pair of jeans and 3 shirts for $135. How much does 1 shirt cost? If I use the equations 2j + s = 120 and j + 3s = 135, what could I multiply each equation by to eliminate j?
a)
first by 2 and second by -2
b)
first by -3 and second by 1
c)
first by 1 and second by -2
d)
first by 3 and second by -1
12.
Joe bought 2 pairs of jeans and 1 shirt for $120. Sam bought 1 pair of jeans and 3 shirts for $135. How much does 1 shirt cost?
a)
$45.00
b)
$40.00
c)
$33.75
d)
$30.00
13.
Joe bought 2 pairs of jeans and 1 shirt for $120. Sam bought 1 pair of jeans and 3 shirts for $135. How much does 1 pair of jeans cost?
a)
$45.00
b)
$40.00
c)
$35.00
d)
$33.75
14.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
100 %
