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Mrs. Carrigan

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Systems w/ 2 var.

Systems w/ 3 var. and Inequalites

Non-linear systems

Misc. Ch.7

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Row 1, Col 1

How many solutions does the system have?

y=2x + 5y = 2x - 7

What is none?

1,2

Solve for x.x=2yz=7y

3x + 5y – z = 13

What is 6.5?

1,3

Solve for y.y² + x² = 34y² - x² = 16

What is 5 and -5?

1,4

If x varies inversely as y, and y=6when x=12, what is the value of x when

y = 9?

What is 8?

2,1

Solve the system:2x + 3y = 28

3x – y = 9

What is (5,6)?

2,2

Solve for y.x + y + z = 15x – y – z = -5-x – y + z = -1

What is 3?

2,3

Is (-3,4) a solution of the system?x² + y² = 25y = -2x - 2

What is yes?

2,4

Find the vertices ofxy = 25

What are (5,5) and (-5, -5)?

3,1

Charles has 125 coins, all dimes and quarters.If he added 10 quarters and 12 dimes, the

value of the coins would be $24.45. Write a system of equations to represent this

situation.

d + q = 125

25q + 10d = 2075

3,2

Solve for z.x + 2y – 3z = 3

3x – 4y + 6z = 4y – 2z = 2

What is -3?

3,3

Find the points of intersection of:y = x²

x² - y² = -2

Ask Mrs. Carrigan!

3,4

Complete the table to show thaty varies inversely as x.

What are (-4,-12), (6,8), (-2,-24), (1,48)?

X 3 -4 -2 1

y 16 8

4,1

The sum of Bill’s age and his father’sage is 64. In 5 years, Bill’s father’s age

will be 10 less than 3 times Bill’s age then.How old is each person now?

What are 16 and 48?

4,2

Graph the solution set.y ≤ x + 3

y > (x – 1)² - 5

Put solution on board.

4,3

Solve. x² + y² = 362x² - y² = 12

Ask Mrs. Carrigan!

4,4

Graph xy = 10

Put answer on board.

5,1

Pop and Zeb have gone fishing in their smallmotorboat. They traveled 19.5 miles

downstream in 3 hours. After 3 hours on the way back upstream, they have only gone8.7 miles. Find the speed of the current.

What is 1.8 mph?

5,2

Find the vertices of the region defined by:

x ≥ 0y ≥ 2x – 2.5y ≤ 0.5x + 2

What are (0, -2.5), (3, 3.5), (0, 2)?

5,3

Solve.2/(x+1) + 5/(y-1) = 125/(x+1) + 2/(y-1) = 9

What is (0, 3/2)

5,4

The sum of the squares of two numbers is88. The difference of the squares of the two

numbers is 10. What might the two numbersbe?

Ask Mrs. Carrigan