# Q \$100 - PowerPoint PPT Presentation

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Jeopardy. Student Choice. Special Systems. Substitution. Addition. Challenge. Q \$100. Q \$100. Q \$100. Q \$100. Q \$100. Q \$200. Q \$200. Q \$200. Q \$200. Q \$200. Q \$300. Q \$300. Q \$300. Q \$300. Q \$300. Q \$400. Q \$400. Q \$400. Q \$400. Q \$400. Q \$500. Q \$500. Q \$500.

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Q \$100

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Jeopardy

Student Choice

Special

Systems

Substitution

Challenge

Q \$100

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Q \$500

Final Jeopardy

{

y = x + 2

y = 2x - 5

(7, 9)

{

x = y - 1

x + 2y = 8

(2, 3)

{

y = x – 10

x – 2y = 3

(17, 7)

{

x – y = -3

2x + y = 12

(3, 6)

{

y – x = 8

5x + 2y = 9

(-1, 7)

{

3x + y = 6

5x – y = 10

(2, 0)

{

3x + 2y = 10

3x – 2y = 14

(4, -1)

{

x + y = 12

2x + y = 6

(-6, 18)

{

3x – y = 2

-8x + 2y = 4

(-4, -14)

{

2x = y + 20

3x + 2y = -19

(3, -14)

{

y = 3 – x

2x – y = 6

(3, 0)

{

-2x – y = -5

3x + y = -1

(-6, 17)

y = x + 3

-2x + y = -4

(7, 10)

{

2x + y = 8

3x + 5y = 5

(5, -2)

### \$100 Question s Special Systems

Classify and state the number of solutions.

{

y = 4 – 3x

3x + y = 4

### \$100 Answer s Special Systems

Consistent and Dependent

Infinitely Many Solutions

### \$200 Question s Special Systems

1.) What kinds of lines are inconsistent?

2.) Compare the slopes of the lines in an inconsistent system.

3.) Compare the y-intercepts of the lines in an inconsistent system.

### \$200 Answer s Special Systems

1.) Parallel

2.) The slopes are the same.

3.) The y-intercepts are different.

### \$300 Question s Special Systems

Classify and state the number of solutions.

{

y + 3x – 2 = 0

9x + 3y = 6

### \$300 Answer s Special Systems

Consistent and Dependent

Infinitely Many Solutions

### \$400 Question s Special Systems

Classify and give the number of solutions.

{

y + 3x = -1

x = y + 3x - 1

### \$400 Answer s Special Systems

Consistent and Independent

One Solution

### \$500 Question s Special Systems

Classify and give the number of solutions.

{

3x – 2y = 9

-6x + 4y = 1

Inconsistent

No Solution

### \$100 Question s Challenge

Solve twice. Use substitution AND addition.

{

4x + y = 10

-2x = y + 4

(7, -18)

### \$200 Question s Challenge

Solve by graphing.

{

y = 5/2x + 2

y = 2x + 4

\$50 BONUS

Describe a real-life situation that could be represented by this data.

(4, 12)

One bowling alley charges \$2.50 per game plus \$2.00 for shoe rental. Another charges \$2.00 per game plus \$4.00 for shoe rental. For how many games will the cost of bowling be the same at both places.

{

9x – 2y = 15

4x + 3y = -5

(1, -3)

{

2x – 3y – z = 12

y + 3z = 10

z = 4

(5, -2, 4)

### \$500 Question s Challenge

A group of students go out for lunch. If two have hamburgers and five have hot dogs, the bill will be \$8.00. If five have hamburgers and two have hot dogs, the bill will be \$9.50. What is the price of a hamburger?

\$1.50

### Final Jeopardy

The larger of two numbers is 1 more than twice the smaller. The sum of the numbers is 20 less than three times the larger. Find the two numbers.

6 and 13

One cable television provider has a \$60 setup fee and \$80 per month, and the second has a \$160 equipment fee and \$70 per month.

a.) In how many months will the cost be the same? What will that cost be.

b.) If you plan to move in 6 months, which is the cheaper option? Explain.

a.) 10 months, \$860

b.) First company (\$80/mo and \$60 setup fee)

\$80(6) + \$60 = \$540

\$70(6) + \$160 = \$580