Algebra Final Exam Review

Solve -4x + 1 = 21

• x=120

• x=5

• x=30

• x=-5

Choose the correct inequality that best describes each graph.

• x < 15

• x < 15

• x > 15

• x > 15

Mrs. Mayberry is trying to decide between two nanny services. Nanny service #1 charges a flat transportation fee of $15 plus $20 per hour. Nanny service #2 charges a flat transportation fee of $5 plus $30 per hour. Write two equations (one for each nanny service) to represent the total charges, y, for x hours.

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

Is the points (-4, 4) a solution to the system of equations?

• Yes

• No

Is the point (2, -1) a solution to the systems of equations below?

y=5x+3

y=-2x-4

• Yes

• No

A system of equations is graphed. Which system of equations does the graph represent?

Is (1,10) a solution to

y=7x+5

y=x+9

• yes

• no

Find the solution to the system below. 
2x + y = 12
−3x + y =  2

• (-2, 8)

• (2, 8)

• (2, -8)

• No solution

Find the solution to the system below. 
2x + 3y = -2
3x - 2y = 23

• (5, -4)

• (-4, 5)

• (-5, 4)

• infinite solutions