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.