M8 5.1-5.2 Review

What is the solution to this system of equations?

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

What is a solution of a linear system?

• the slope of the line
• the y-intercept
• the point where the systems intersect
• the rise over tun

Solve for x and y:
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Solve the following system by graphing.  What is the solution?

• no solution

• (3, 3)

• (3, -3)

• (-3, 3)

Alesia Allen went to the grocery store. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

• 4A + 6B = 3

  13.5A - 13B = 6

• A + B = 4

  A - B = 6

• 4A + 6B = 13

  3A + 7B = 13.5

• 4A - 6B = 13

  3A - 7B = 13.5

Solve the system of equations by substitution.

y = 4x+1

3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

Solve the system by graphing:
y = 6x - 4
y = -x + 3

• (1, 2)
• (2, 1)
• (4, 5)
• (2, 4)

What is the solution to the following system?

y=4x-9

y=x-3

• (0, -9)

• (2, -1)

• (4, 3)

• (3, 1)

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

• yes
• no

Your family goes to a southern style restaurant for dinner. There are 6 total people in your family. Some order chicken for $14 and the rest order steak for $17. The total bill is $99. Write a system that could represent this situation.

• c + s = 6
  14c + 17s = 99
• c + s = 99
  14c + 17s = 6
• c + s = 6
  17c + 14s = 99
• c + s = 99
  17c + 14s = 6