Systems of Linear Equations (Test 2 Review)

Graphing

100

If a system of linear equations has no solutions, its graph consists of lines that are ___________ (fill in the blank).

Parallel

200

Solve by graphing:
y = 3
y = 2x+1

(3, 1)

300

Solve by graphing:
x + 2y = 3
x + y = 2

(1, 1)

400

Solve by graphing:
2x + y = -3
y = -(x + 4)

(1, -5)

Substitution

100

y=x
-x + 20y = 0

(0, 0)

200

-x - y = 8
x = -3y

(-12, 4)

300

6x + 4y = 2
2x + y = 0

(-1, 2)

400

x + 2y = 4
3x + 6y = 3

No solution

Elimination

100

x + y = 3
x - y = 7

(5, -2)

200

5x - y = 8
2x + y = -1

(1, -3)

300

7p + 4q= -12
4p + q = -3

(p,q) = (0, -3)

400

10x - 3y = 9
3x - 2y = -5

(3,7)

Fun Facts

100

How many people are killed by vending machines every year in America?

13

200

What is the answer to life, the universe and everything?

42

300

What is the biggest named number?

Googolplex

400

What is the volume of a pizza that has radius z and height a?

Pi z z a

Word Problems

100

D&E gets $5 for every Augusta concert ticket sold. Write an expression for earnings, e, in terms tickets sold, t.

e = 5t

200

At last year's commencement, four times more BA degrees were offered than BS degrees. If 200 students graduated, how many BS degrees were awarded?

40

300

The sum of two numbers is 7. The difference of two numbers is 1. What are the two numbers?

(3,4)

400

At a student fund-raiser, the number of $2 raffle tickets printed was three times the number of $5 tickets. If all the tickets are sold, receipts from the $5 tickets will be $50 less than those from the $2 tickets. How many $5 tickets were printed?

50 t=3f 5f=2t-50