Algebra 1 2021 Fall Final Study Guide

Nancy went to the grocery story.  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?

• 4x + 6y = 3
  13.5x - 13y = 6
• x + y = 4
  x - y = 6
• 4x + 6y = 13
  3x + 7y = 13.5
• 4x - 6y = 13
  3x - 7y = 13.5

The sum of Mr. Micklow and Ms. Craft's age is 55.  The difference is 3.  
Solve:
x + y = 55
x - y = 3

• (26, 23)
• (26, 29)
• (29, 26)
• (29, 32)

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

How many solutions will this system have?

• One
• Two
• No Solution
• Infinitely Many Solutions

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

• Infinite number of solutions
• (3, 3)
• (3, -3)
• (-3, 3)

Do I need to flip my sign?
2x -3y  ≥ 12

• Yes
• No

Select the graph for 5x+ y ≤  -1 .

• A
• B
• C
• D

Which of the following equations match the given graph?

• y ≥ 2/5x + 1
• y ≥ -2/5x + 1
• y≤  2/5x + 1
• y ≥ -2/5x - 1

-10(2m + 1) = - 50

• m = -7

• m = 20

• m = 5

• m = 2

m - 7 + 5m = 11

• m = 6

• m = -2

• m = 4

• m = 3