Unit 2 Part 2 Test 51points 
Unit Test 2 Test 2014-2015
Graded Assignment
Answer the questions below. When you are finished, submit this assignment in the course dropbox.
YOU MUST SHOW ALL WORK TO RECEIVE FULL CREDIT. THIS IS NON-NEGOTIABLE
(9 points)
1. For the points (1, 4) and (0, 1) do the following:
A. Write an equation of the line in point-slope form.
(1,4): y-4=3(x-1)
(0,1): y-1=3(x-0)
B. Write the equation in standard form.
(1,4): y-3x=1
(0,1): y-3x=1
C. Write the equation in slope-intercept form.
(1,4): 4=3(1)+1 or 4=3+1
(0,1): 1=3(0)+1 or1=0+1
2. Write an equation for the line perpendicular to 5x − 4y = 10 and passes through the point
(−1, −6) IN SLOPE –INTERCEPT FORM. (6 points)
y=-4/5x-6.8
3. Solve the system by graphing. (6 points)
Solution: (2,2)
4. Solve the system by substitution. (6 points)
5. Solve the system by linear combination. (6 points)
Solution: (1,2) Solution: (3,.5)
6. A chemist mixes some 70% solution with some 40% solution to obtain 120 gallons of 50% solution. Find the number of gallons of each solution.
A. Define variables for the unknowns. (1 point) x=Gal of 70% solution, y=Gal of 40% solution
B. Write a system of equations to model the problem. (4 points) .7x+.4y=.5(120) x+ y=120
C. Solve the system. (3 points)
(40,80)
D. Give your answer in a complete sentence. (1 point)
There were 40 gallons of the 70% solution and 80 gallons of the 40% solution, wich made the total gallons 120 and the end concentration 50%.
7. At Taco Heaven, Henry bought 3 tacos and 2 burritos for $3.85. Hester bought 3 burritos and 2 tacos for $4.05. How much does each taco and each burrito cost?
A. Define variables for the unknowns. (1 point) x=tacos, y=burritos
B. Write a system of equations to model the problem. (4 points)
3x+2y=3.85
2x+3y=4.05
C. Solve the system. (3 points)
(.69,.89)
D. Give your answer in a complete sentence. (1 point)
At Taco Heaven, Tacos cost $0.69 and burritos cost $0.89.
Graded Assignment
Answer the questions below. When you are finished, submit this assignment in the course dropbox.
YOU MUST SHOW ALL WORK TO RECEIVE FULL CREDIT. THIS IS NON-NEGOTIABLE
(9 points)
1. For the points (1, 4) and (0, 1) do the following:
A. Write an equation of the line in point-slope form.
(1,4): y-4=3(x-1)
(0,1): y-1=3(x-0)
B. Write the equation in standard form.
(1,4): y-3x=1
(0,1): y-3x=1
C. Write the equation in slope-intercept form.
(1,4): 4=3(1)+1 or 4=3+1
(0,1): 1=3(0)+1 or1=0+1
2. Write an equation for the line perpendicular to 5x − 4y = 10 and passes through the point
(−1, −6) IN SLOPE –INTERCEPT FORM. (6 points)
y=-4/5x-6.8
3. Solve the system by graphing. (6 points)
Solution: (2,2)
4. Solve the system by substitution. (6 points)
5. Solve the system by linear combination. (6 points)
Solution: (1,2) Solution: (3,.5)
6. A chemist mixes some 70% solution with some 40% solution to obtain 120 gallons of 50% solution. Find the number of gallons of each solution.
A. Define variables for the unknowns. (1 point) x=Gal of 70% solution, y=Gal of 40% solution
B. Write a system of equations to model the problem. (4 points) .7x+.4y=.5(120) x+ y=120
C. Solve the system. (3 points)
(40,80)
D. Give your answer in a complete sentence. (1 point)
There were 40 gallons of the 70% solution and 80 gallons of the 40% solution, wich made the total gallons 120 and the end concentration 50%.
7. At Taco Heaven, Henry bought 3 tacos and 2 burritos for $3.85. Hester bought 3 burritos and 2 tacos for $4.05. How much does each taco and each burrito cost?
A. Define variables for the unknowns. (1 point) x=tacos, y=burritos
B. Write a system of equations to model the problem. (4 points)
3x+2y=3.85
2x+3y=4.05
C. Solve the system. (3 points)
(.69,.89)
D. Give your answer in a complete sentence. (1 point)
At Taco Heaven, Tacos cost $0.69 and burritos cost $0.89.