Mac's Systems Summative REDO

What is the solution to this system of equations?

• (4, -1)
• (-1, 4)
• (-4, 1)
• (-4, -1)

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

One brand of suntan lotion comes in a small size with x ounces of lotion and a regular size with y ounces of lotion.  Given the equations below how can we eliminate the terms with x?
x+2y = 15
2x + y = 19.5

• subtract the two equations from each other
• multiply the second equation by -1 and add the two equations
• multiply first equation by 2, multiply the second equation by 1 then add them
• multiply the first equation by -2 then add the equations together 

One brand of suntan lotion comes in a small size with x ounces of lotion and a regular size with y ounces of lotion. Two small bottles plus one regular bottle contain 15 ounces of lotion, while one small bottle and two regular bottles contain 19.5 ounces of lotion. How much lotion is contained in the small bottle?

• 5 ounces
• 3.5 ounces
• 8 ounces
• 6.5

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• 1.5x+0.5y=78.5
  x+y=87
• 1.5x+0.5y=78.5
  1.5x+0.5y=87
• x+y=78.5
  1.5x+0.5y=87
• x+y=78.5
  x+y=87

Which method would work best for this system?

y-x=12

y=2x

• Elimination

• Substitution

What is the solution to the following system?

4x+y=2

x-y=3

• Infinite Solutions

• No Solution

• (3, 2)

• (1, -2)

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.

• c = 2.75b + 4
• c = 2.75b
• c =  4b- 2.75
• c = 2.75b - 4

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes
• no

Rewrite this equation in slope intercept form (y = mx. + b):

9x + 3y = -6

• 3y = 9x -6

• y = -3x -2

• y = -9x - 6

• y = -3x +2