5-1 Linear Equations and Functions

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Lesson Quizzes
Preview
5-1 Linear Equations and Functions 5-2 Using
Intercepts 5-3 Slope 5-4 Direct Variation 5-5
Slope-Intercept Form 5-6 Point-Slope Form 5-7
Slopes of Parallel and Perpendicular Lines
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5-1 Linear Equations and Functions
Lesson Quiz Part I
Graph each linear equation. Then tell whether it
represents a function.
1. 2y x 6
2. 3y 12
Yes, it is a function.
Yes, it is a function.
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5-1 Linear Equations and Functions
Lesson Quiz Part II
Without graphing, tell whether each point is on
the graph of 6x 2y 8.
yes
3. (1, 1)
4. (3, 5)
no
5. The cost of a can of iced-tea mix at SaveMore
Grocery is 4.75. The function f(x) 4.75x gives
the cost of x cans of iced-tea mix. Graph this
function and give its domain and range.
D 0, 1, 2, 3, R 0, 4.75, 9.50, 14.25,
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5-2 Using Intercepts
Lesson Quiz Part I
1. An amateur filmmaker has 6000 to make a film
that costs 75/h to produce. The function f(x)
6000 75x gives the amount of money left to
make the film after x hours of production. Graph
this function and find the intercepts. What does
each intercept represent?
x-int. 80 time it takes to spend all of the
money
y-int. 6000 the initial amount of money
available.
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5-2 Using Intercepts
Lesson Quiz Part II
2. Use intercepts to graph the line described by
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5-3 Slope
Lesson Quiz Part I
Find the slope of each line.
1.
2.
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5-3 Slope
Lesson Quiz Part II
3. Find the slope of the line that contains (5,
3) and (1, 4).
4. Find the slope. Then tell what the slope
represents.
50
A slope of 50 means that the speed of the bus is
50 mi/h.
5. Find the slope of the line given by x 2y 8.
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5-4 Direct Variation
Lesson Quiz Part I
Tell whether each equation represents a direct
variation. If so, identify the constant of
variation.
1. 2y 6x
yes 3
no
2. 3x 4y 7
Tell whether each relationship is a direct
variation. Explain.
3.
4.
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5-4 Direct Variation
Lesson Quiz Part II
5. The value of y varies directly with x, and y
8 when x 20. Find y when x 4.
1.6
6. Apples cost 0.80 per pound. The equation y
0.8x describes the cost y of x pounds of apples.
Graph this direct variation.
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5-5 Slope-Intercept Form
Lesson Quiz Part I
Write the equation that describes each line in
the slope-intercept form.
1. slope 3, y-intercept 2
y 3x 2
2. slope 0, y-intercept
3. slope , (2, 7) is on the line
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5-5 Slope-Intercept Form
Lesson Quiz Part II
Write each equation in slope-intercept form. Then
graph the line described by the equation.
4. 6x 2y 10
5. x y 6
y x 6
y 3x 5
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5-6 Point-Slope Form
Lesson Quiz Part I
Write an equation in slope-intercept form for the
line with the given slope that contains the given
point.
1. slope 1 (0, 9)
y x 9
2. slope (3, 6)
Write an equation in slope-intercept form for the
line through the two points.
3. (1, 7) and (2, 1)
y 2x 5
4. (0, 4) and (7, 2)
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5-6 Point-Slope Form
Lesson Quiz Part II
5. The cost to take a taxi from the airport is a
linear function of the distance driven. The costs
for 5, 10, and 20 miles are shown in the table.
Write an equation in slope-intercept form that
represents the function.
y 1.6x 6
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5-7 Slopes of Parallel and Perpendicular Lines
Lesson Quiz Part I
Write an equation in slope-intercept form for the
line described.
1. contains the point (8, 12) and is parallel to
2. contains the point (4, 3) and is
perpendicular to y 4x 5
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5-7 Slopes of Parallel and Perpendicular Lines
Lesson Quiz Part II
3. Show that WXYZ is a rectangle.