Jeopardy Review Chapter 5

Jeopardy Review Chapter 5
Graph
Answer
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x
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Jeopardy Review Chapter 5
Graph
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Answer
x
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Jeopardy Review Chapter 5
Graph the inequality for the situation…
to be considered a teenager,
you need to be thirteen years old and no older than nineteen.
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Answer
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Jeopardy Review Chapter 5
Solve and graph
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Answer
x
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Jeopardy Review Chapter 5
Solve and graph
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Answer
x
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Jeopardy Review Chapter 5
How many solutions are there to a system of equations if
the lines are parallel but have different y-intercepts?
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Answer
No Solutions
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Jeopardy Review Chapter 5
Consider the statement “18=18”.
Is this graph consistent or inconsistent? Why?
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Answer
Consistent: because they are the same line…infinite solutions
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Jeopardy Review Chapter 5
Solve
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Answer
x+y=5
x + (4x - 2) = 5
x + 4x - 2 = 5
5x - 2 = 5
5x = 7
x = 1.4
y = 4x - 2
y = 4(1.4) - 2
y = 3.6
(1.4, 3.6)
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Jeopardy Review Chapter 5
Solve
Round your answers to the nearest thousandth.
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Answer
Graph the two equations on your calculator
and find the two intersection points.
(0.838, 3.581) and (7.162, 0.419)
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Jeopardy Review Chapter 5
Solve
Round your answers to the
nearest thousandth when necessary.
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Answer
Graph the two equations on your calculator and
find the three intersection points.
(-2, -1) and (-.414, -4.828) and (2.414, .828)
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Jeopardy Review Chapter 5
How many solutions does a consistent system have?
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Answer
One or more
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Jeopardy Review Chapter 5
Solve
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4x - 3y = 41
4x - 3(2x + 1) = 41
4x - 6x - 3 = 41
-2x - 3 = 41
-2x = 44
x = -22
y = 2x + 1
y = 2(-22) + 1
y = -43
(-22, -43)
Jeopardy Review Chapter 5
Solve
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Answer
xy = 36
x(4x) = 36
4x 2 = 36
x2 = 9
x = 3 or -3
If x = 3
y = 4x
y = 4(3)
y = 12
If x = -3
y = 4x
y = 4(-3)
y = -12
(3,12) and (-3,-12)
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Jeopardy Review Chapter 5
Solve
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2x + 6y = 8
-2x - 6y = -14
0 = -6
No Solution
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Jeopardy Review Chapter 5
Solve
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Answer
4x - y - 2z = 28
4x - (3x - 2) - 2(x - 5) = 28
4x - 3x + 2 - 2x + 10 = 28
-x + 12 = 28
-x = 16
x = -16
x = -16
y = -50
y = 3x - 2
y = 3(-16) - 2
y = -50
z=x-5
z = -16 - 5
z = -21
z = -21
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Jeopardy Review Chapter 5
How many solutions are there to a system when the
variables cancel out and the remaining values are false?
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Answer
No Solutions
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Jeopardy Review Chapter 5
Solve
Answer
5x + 4y = 19
6x - 4y = -8
11x = 11
x=1
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5x + 4y = 19
5(1) + 4y = 19
5 + 4y = 19
4y = 14
y = 3.5
(1, 3.5)
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Jeopardy Review Chapter 5
Solve
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Answer
8x - 2y = -16
-8x + 2y = 16
0=0
Infinite Solutions
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Jeopardy Review Chapter 5
Solve
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Answer
10x - 5y = 55
3x + 5y = 10
13x = 65
x=5
2x - y = 11
2(5) - y = 11
10 - y = 11
-y = 1
y = -1
(5, -1)
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Jeopardy Review Chapter 5
Half a watermelon and half a pound of cherries cost $3.09.
A whole watermelon and two pounds of cherries cost $8.16.
Find the cost for a pound of cherries and the cost for a watermelon.
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Answer
0.5w + 0.5c = 3.09
1w + 2c = 8.16
-1w - 1c = -6.18
1w + 2c = 8.16
c = 1.98
w + 2c = 8.16
w + 2(1.98) = 8.16
w + 3.96 = 8.16
w = 4.20
A pound of cherries costs $1.98
and a watermelon costs $4.20.
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Jeopardy Review Chapter 5
Graph
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Jeopardy Review Chapter 5
Graph
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Jeopardy Review Chapter 5
Graph
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Jeopardy Review Chapter 5
Graph
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Jeopardy Review Chapter 5
Graph
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Jeopardy Review Chapter 5
FINAL JEOPARDY
Write a system of two equations with two
variables by eliminating the "z" variable in
the following 3 X 3 system of equations.
ANSWER
FINAL JEOPARDY