Name _______________________________________________
Date ________________________
Algebra I Chapter 6 Test (40 points)
V1
Essential Question: How do you solve linear systems by graphing? (Question 1)
1*. Solve the linear system using graphing. (3 pts)
x + 2y = 4
2x + y = –1
Tell whether the ordered pair is a solution of the linear system. (Yes or No) You must show all work to
receive credit! (1 pt each)
2*. (2, –1)
x + 3y = -1
2x – 2y = 6
3*. (8, 5)
5x – 4y = 20
3y = 2x + 1
Determine whether the linear system has one solution, no solution, or infinitely many solutions. (2 pts
each)
4. y = 2x – 1
y = 2x + 1
5. 3x + y = 12
y = 3x + 12
Essential Question: How do you solve linear systems using algebra? (Questions 6-11).
6*. Solve the linear system using substitution. (3 pts)
7*. Solve the linear system using elimination. (3 pts)
x+y=7
3x – 2y = 36
5x + 7y = 10
3x – 14y = 6
Solve the linear system by using substitution or elimination. (3 points each)
8. 3x –2y = 0
9. 3x + 2y = 4
x + 2y = 8
–6x –4y = –8
10.
–x + 4y = –3
–3x + 2y = 1
11.
–x +3y = 9
2x + y = 10
Essential Question: How do you solve systems of linear inequalities? (Questions 12 & 13).
Graph the system of linear inequalities. (4 points each)
12.
y<–1
x>2
14.
Write a system of linear inequalities that models the situation. (You do NOT have to solve!) Let f be the number
of hours per week working on the farm and let b be the number of hours per week babysitting. (2 points)
13*.
x>1
y ≤ 2x - 1
During the summer, you want to earn at least $150 per week. You earn $10 per hour working for a
farmer, and you earn $5 per hour babysitting for your neighbor. You can work at most 25 hours per week.
15. Journal Question: A group of friends takes a day-long tubing trip down a river. The company that offers
the tubing trip charges $15 to rent a tube for a person to use and $7.50 to rent a “cooler” tube, which is
used to carry food and water in a cooler. The friends spend $360 to rent a total of 26 tubes. How many of
each type of tube do they rent?
Bonus
1. Write an equation in slope-intercept form of the line that
passes through the given point and has the given slope m.
2
(3, –1); m =
3
2. Find the zero of the function.
f(x) =
1
x–1
2