Transcript Glencoe Algebra 1

You represented relationships among quantities
using equations. (Lesson 2–1)
• Identify linear equations, intercepts, and
zeros.
• Graph linear equations.
• linear equation
• standard form
• constant
• x-intercept
• y-intercept
Identify Linear Equations
B.
Write the equation in standard form.
» ACTIVITY
5 = 3y + 9x
1.Box the three terms
2.Label each term as x, y, or constant
3.Get the x term to the left of the =
4.Get the y term to the left of the =
5.Get the constant term to the right of the =
6.Is A positive – multiply both sides by negative
1 if not
7.Are A, B, and C integers – multiply by the
denominator if not
» ACTIVITY
½ = -2x + 5y
1.Box the three terms
2.Label each term as x, y, or constant
3.Get the x term to the left of the =
4.Get the y term to the left of the =
5.Get the constant term to the right of the =
6.Is A positive – multiply both sides by negative
1 if not
7.Are A, B, and C integers – multiply by the
denominator if not
A. Determine whether y = 4x – 5 is a linear equation.
Write the equation in standard form.
A. linear equation; y = 4x – 5
D. linear equation; 4x + y = 5
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B
A
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A
B
C
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D
D
C. linear equation; 4x – y = 5
A.
B.
C.
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D.
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B. not a linear equation
B. Determine whether 8y –xy = 7 is a linear equation.
Write the equation in standard form.
A. not a linear equation
D. linear equation; 8y – 7 = xy
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B
A
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A
B
C
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D
D
C. linear equation; 8y = 7 + xy
A.
B.
C.
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D.
C
B. linear equation; 8y – xy = 7
Intercepts
X - intercept –
» where a line hits/crosses the x-axis,
» where the y-coordinate is 0: (13, 0) or (-2, 0)
Y - intercept –
» where a line hits/crosses the y-axis,
» where the x-coordinate is 0: (0, 10) or (0, -13)
• Graph 5x – 1y = 10 using intercepts.
• x-intercept
y-intercept
Find the x- and y-intercepts of
the graphed segment.
A. x-intercept is 10;
y-intercept is 250
A.
B.
C.
D.
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B
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A
D. x-intercept is 5;
y-intercept is 10
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C
C. x-intercept is 250;
y-intercept is 10
A
B
C
D
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D
B. x-intercept is 10;
y-intercept is 10
ANALYZE TABLES Jules has a food card
for Disney World. The table shows the
function relating the amount of money on
the card and the number of times he has
stopped to purchase food.
0%
0%
C
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B
x-intercept is 5; y-intercept is 125
x-intercept is 5; y-intercept is 5
x-intercept is 125; y-intercept is 5
x-intercept is 5; y-intercept is 10
A
A.
B.
C.
D.
A.
B.
C.
D.
A
B
C
D
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D
A. Determine the x- and y-intercepts of
the graph of the function.
Graph by Using Intercepts
Graph 4x – y = 4 using the x-intercept and the
y-intercept.
Is this the correct graph for 2x + 5y = 10?
A. yes
A. A
B. B
A
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B
B. no
• Graph by:
– Creating a table of at least 5 values
– Creating a mapping of those 5 points
– Plotting the 5 points and sketch the line,
with end arrows.
3x – y = -2