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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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
Q $500
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)
Classify and state the number of solutions.
{
y = 4 – 3x
3x + y = 4
Consistent and Dependent
Infinitely Many Solutions
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.
1.) Parallel
2.) The slopes are the same.
3.) The y-intercepts are different.
Classify and state the number of solutions.
{
y + 3x – 2 = 0
9x + 3y = 6
Consistent and Dependent
Infinitely Many Solutions
Classify and give the number of solutions.
{
y + 3x = -1
x = y + 3x - 1
Consistent and Independent
One Solution
Classify and give the number of solutions.
{
3x – 2y = 9
-6x + 4y = 1
Inconsistent
No Solution
Solve twice. Use substitution AND addition.
{
4x + y = 10
-2x = y + 4
(7, -18)
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.
Solve using addition.
{
9x – 2y = 15
4x + 3y = -5
(1, -3)
{
2x – 3y – z = 12
y + 3z = 10
z = 4
(5, -2, 4)
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
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