Unit 4 Test Review (Linear Equations and Linear Systems)

Solving Systems by Substitution

100

y = -3x + 18

y = 6x

( 2 , 12 )

200

y = 3x + 4

y = -x + 12

(2,10)

300

True or false.

This equation has the solution (6,3)

y = -x + 9

True.

400

65 = 5x + 15y

y = x - 5

(7 , 2)

500

45 = 10x + y

y = x + 1

(4 , 5 )

How Many Solutions

100

y = 2x + 4

y = 2(x + 2)

Infinitely Many Solutions

200

10x + 6 -x + 4 = 11x - 6

One solution

x = 8

300

1/2(4x - 10) = 2(x - 3)

No solution

400

y = 6x + 12

3y = 18x + 36

Infinitely Many Solutions

500

5x - 2 = 10 - x

One Solution

x = 2

Systems in Context

100

If I have $10 to spend on gummy worms and chocolate bars, how many chocolate bars can I get if bought 12 gummy worms at $0.50 a piece, and chocolate bars are $1?

4 chocolate bars

200

Soda: $4

Popcorn: $6

Total spent: $40

If I buy 4 sodas how many popcorns can I buy?

4 popcorns

300

Chicken fingers basket: $12

Fries: $7

Total spent: $78

If I got 3 chicken fingers baskets, how many fries did I get?

6 fries

400

Let x be soda and y be slices of pizza. We spent $120 and bought twice as many slices of pizza than sodas.

120 = 2x + 5y

y = 2x 

How many slices of pizza did we buy? And how many sodas did we buy?

We bought 10 sodas and 20 pizza slices. 

Balance Hangers

100

Balance Hanger #1

7 grams

200

Balance hanger #2

10 grams

300

Balance hanger #3

6 Pounds

400

Balance Hanger #4

2.5 pounds

Two Conditions are Equal

100

Sally makes $10 an hour for babysitting.

Kelly makes $12 an hour for babysitting. 

How much do they each make after 4 hours?

Sally: $40

Kelly: $48

200

Connie has $60 and saves $5 each day.

Suzie has $100 and saves $1 each day.

How many days until they have saved the same amount of money?

10 Days