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# Q \$100 - PowerPoint PPT Presentation

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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Student Choice

Special

Systems

Substitution

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

Q \$500

Q \$500

Final Jeopardy

\$100 Question s Substitution

{

y = x + 2

y = 2x - 5

\$100 Answer s Substitution

(7, 9)

\$200 Question s Substitution

{

x = y - 1

x + 2y = 8

\$200 Answer s Substitution

(2, 3)

\$300 Question s Substitution

{

y = x – 10

x – 2y = 3

\$300 Answer s Substitution

(17, 7)

\$400 Question s Substitution

{

x – y = -3

2x + y = 12

\$400 Answer s Substitution

(3, 6)

\$500 Question s Substitution

{

y – x = 8

5x + 2y = 9

\$500 Answer s Substitution

(-1, 7)

\$100 Question s Addition

{

3x + y = 6

5x – y = 10

(2, 0)

\$200 Question s Addition

{

3x + 2y = 10

3x – 2y = 14

(4, -1)

\$300 Question s Addition

{

x + y = 12

2x + y = 6

(-6, 18)

\$400 Question s Addition

{

3x – y = 2

-8x + 2y = 4

(-4, -14)

\$500 Question s Addition

{

2x = y + 20

3x + 2y = -19

(3, -14)

\$100 Question s Student Choice

{

y = 3 – x

2x – y = 6

\$100 Answer s Student Choice

(3, 0)

\$200 Question s Student Choice

{

-2x – y = -5

3x + y = -1

\$200 Answer s Student Choice

(-6, 17)

\$300 Question s Student Choice

\$300 Answer s Student Choice

\$400 Question s Student Choice

y = x + 3

-2x + y = -4

\$400 Answer s Student Choice

(7, 10)

\$500 Question s Student Choice

{

2x + y = 8

3x + 5y = 5

\$500 Answer s Student Choice

(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

\$500 Answer s Special Systems

Inconsistent

No Solution

\$100 Question s Challenge

Solve twice. Use substitution AND addition.

{

4x + y = 10

-2x = y + 4

\$100 Answer s Challenge

(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.

\$200 Answer s Challenge

(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.

\$300 Question s Challenge

{

9x – 2y = 15

4x + 3y = -5

\$300 Answer s Challenge

(1, -3)

\$400 Question s Challenge

{

2x – 3y – z = 12

y + 3z = 10

z = 4

\$400 Answer s Challenge

(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?

\$500 Answer s Challenge

\$1.50

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 per month, and the second has a \$160 equipment fee and \$70 per month.

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

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

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