Review Module 7

Systems of Equations Graphing

100

State whether the system of equations is consistent or inconsistent

y=-x+1

y=x-1

consistent

200

Determine the number of solutions the following system of equations have. Then state whether the system of equations is consistent or inconsistent, independenet or dependent.

2x+3y=10

4x+6y=12

inconsistent.

300

Find the solution by graphing

y=4x+2

y=-2x-4

(-1,-2)

400

2x+3y=12

2x-y=4

(3,2)

500

2x-17=x-10

(7,-3)

Substitution

100

MUST SHOW WORK

3x-2y=-17

y=2x+2

(13,28)

200

5x-3y=-25

x+4y=18

(-2,5)

300

4x+2y=-8

y=-2x-4

infinite

400

5x+3y=5

x+2y=-13

(7,-10)

500

x=y-1

-x+y=-1

no solution

Elimination

100

SHOW WORK

5x+13y=20

-5x-3y=30

(-9,5)

200

3x+6y=30

5x+6y=6

(-12,11)

300

10x+5y=30

5x-3y=-7

(1,4)

400

3x+4y=-22

-2x+3y=-8

(-2,-4)

500

11x-6y=25

3x+9y=60

(5,5)

Inequalities

100

y<6

y>x+3

show the boards

200

y>=x+10

y<=x-3

boards

300

3b+2<5b-6<=2b+9

4<b<=5

400

-2a+3>6a-1>3a-10

-3<a < 1/2

500

|(2p-8)/4|>=9

-14, 22

Word Problems

100

George's comic book collection consists of single issues that cost $4 each and paperback collections that costs $12 each. He has 100 books in all. His collection cost him $616. Write and solve a system of equations to determine how many single issues and paperbacks George has in his collection.

73 single issues 

27 paperback

200

A town ordinance defines an adult tree as having a diameter greater than 10 inches and a sapling as having a diameter less than 10 inches. The ordinance requires that on a new building project, two new trees are planted for each adult tree felled and six new trees are planted for each sapling felled. Last year, there were 167 trees felled, and the community planted 742 replacement trees. How many of each type of tree were felled?

65 adult trees

102 sapling

300

Two times a number x minus six times another number y is negative six. Negative two times a number x plus five times another number y is eighteen.

x=-39 y=-12

400

Flying to Kampala with a tailwind a plane averaged 158 km/h. On the return trip the plane only averaged 112 km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.

plane 135km/h

wind 23 km/h

500

Sadie can work up to 20 hours per week. Working at a bakery, she earns $7 per hour most of the time and $8.50 per hour during the early morning shift. Sadie needs to earn at least $150 this week to pay for a trip with her friends. Determine the number of regular and early morning hours that Sadie could work.

SHOW THE BOARDS!