Part I: Multiple Choice s1

Name: ______Date: ______Mr. Art Period: ______

Review # ______Systems of Equations Algebraically

Part I: Multiple Choice Directions: Solve the given systems of equations. Place your answers on the answer line. Doing a check is recommended.

______1) 3x + 4y = 18 x – 4y = – 10

(1) (–2, –3) (3) (0, –4) (2) (2, 3) (4) (3, 2)

______2) x = 4y 5x – 3y = 17

(1) (1,3) (3) (–1, –3) (2) (4, 1) (4) (0, 7)

______3) y = x2 + 4x – 1 y + 3 = x

(1) (1,4) (3) (5, –4) (2) (1, –2) (4) (–2, –5)

Part II: Short Answer Directions: Solve and check the following systems of equations questions using the algebraic method of your choice.

4) y = x + 4 x + y = 2

1 5) 2x – y = 9 3x + 6y = 21

6) x2 – 2y = 11 y = x – 4

7) 3x + 7y = –11 2x + 3y = – 3

2 8) 5x – y = 7 3x – y = 5

Part III: Long Answer Directions: Solve and check each of the following word problems using two variables. Remember let statements!

9) Ali is younger than her brother Seth. The difference in their ages is 6 years and the sum of their ages is 50. Find the age of each.

10) Alexandra purchases two doughnuts and three cookies at a doughnut shop and is charged $3.30. Briana purchases five doughnuts and two cookies at the same shop for $4.95. All the doughnuts have the same price and all the cookies have the same price. Find the cost of one doughnut and find the cost of one cookie.

3 Part IV: Graphing Systems

11) Solve the following system of equations algebraically and graphically. x + y = 8 x - y = -2

Algebraically Graphically

What do you notice about the solutions for both systems?