Name_______________________________________________ Date:________________Class:___________
Module 4 Linear Equations End of Module Practice Test:
Multiple Choice (1pt. each)
1. If a system of equations has no solution, what does the graph look like?
a) intersecting lines
b) parallel lines
c) coinciding lines
2. If a system of equations has a solution, what does the graph look like?
a) coinciding lines
b) parallel lines
c) intersecting lines
3. If a system of equations has infinite solutions, what does the graph look like?
a) coinciding lines
b) parallel lines
c) intersecting lines
4.If elimination is the method used to solve this system of equations, what is the result of the first step?
x+y=6
x-y=2
a) 2y = 8
b) x - y = 8
c) x + y = 8
d) 2x = 8
5.When using substitution to solve this system of equations, what is the result of the first step?
​x
= 6y + 3
x + 2y = 5
a) x+2(6x+3)=5
b) x+2(6y+3)=5
c) 6y+3+2y=5
d) 6x+3+2y=5
Short Response: (5pts)
6. Write the equation for the line passing through the points (8 ,-18) and (-4, 6) in y-intercept form.
a.The equation of the line is _____________________________________________________
b​. Graph your equation from part a.​ (make sure to label 3 ordered pairs)
7.What is the solution of the following system of equations? (3pts)
Solve by graphing (​Make sure to clearly label both lines on your graph and label the intersecting point /solution )
Solution :______________________________________
8. Solve the following system of equations by using SUBSTITUTION and then verify/check . Show all
work. (4pts)
Solution _______________________
Verification/Check:
9.Solve the following system of equations by using the Elimination Meth and then verify/check . Show all
work. (4 pts)
Solution _______________________
Verification/Check:
10.Solve the following system of equations by elimination or substitution.
Then check by plotting the graph to show that they intersect at the coordinate point you calculated.(6pts.)
2x - y = 6
x+y=6
Solution ________________________________________
Graph (Make sure to label each line and the intersecting point)
Question 11-12 (6 pts each)
1.​ ​ Let Statements​ for each system
2.​ Write out the system of equations
3. ​State your solution
4. Explain ​what your solution means as it relates to the question.
11.
A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the
number of cars and the number of buses they took if the cars will hold 5 students and each bus holds 45
students.
Solution_________________________________________
Explanation of solution:
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11.
Students sold 275 tickets for a fundraiser at school. Some tickets are for children and cost $3, while the
rest are adult tickets that cost $5. If the total value of all tickets sold was $1,025, how many of each type of
ticket was sold?
Solution:____________________
Explanation of solution:
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