Exam 8: Graphs, Functions, and Systems of Equations and Inequalities

A cross-country skier reaches the 10-km mark of a race 40 min after reaching the 2-km mark. Find the average rate of change in the speed of the skier.

(Multiple Choice)

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Question 81

For a remodeling project, the building contractors designed a chute extending from a third-floor balcony to a dumpster located in the hotel parking lot. The chute has a rise of 12 feet for every 20 Feet in horizontal distance. Find the grade of the chute. Round to the nearest whole percent.

(Multiple Choice)

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Question 82

Choose one of the four lines graphed which most closely resembles the graph of the given equation. - $\mathrm { y } = 4 \mathrm { x }$

(Multiple Choice)

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Question 83

Find the y- and x-intercepts for the equation. Then graph the equation. - $-3 x-9 y=9$

(Multiple Choice)

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Question 84

Graph the circle. - $(x-4)^{2}+y^{2}=25$ $Graph the circle. - (x-4)^{2}+y^{2}=25$

(Multiple Choice)

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Question 85

In 1980, the population of a city was 5.5 million. By 1992 the population had grown to 6.5 million. Find the average rate of change in the population.

(Multiple Choice)

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Question 86

$\text { The circle with equation } ( x + 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 16 \text { has center at } ( 1 , - 2 ) \text {. }$

(True/False)

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Question 87

Choose one of the four lines graphed which most closely resembles the graph of the given equation. -y = 3x - 4

(Multiple Choice)

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Question 88

Complete the ordered pairs. Then graph the equation. - $3 x + 4 y = 16$

(Multiple Choice)

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Question 89

Identify whether the slope is positive, negative, zero, or undefined. -

(Multiple Choice)

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Question 90

Find the average rate of change. Use appropriate units.

(Multiple Choice)

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Question 91

Choose one of the four lines graphed which most closely resembles the graph of the given equation. - $y = - 2 x + 6$

(Multiple Choice)

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Question 92

Decide whether the statement is true or false. -If a point lies on the x-axis, its x-coordinate is zero.

(True/False)

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Question 93

Use this graph to answer the question. -What was the total increase in sales for the first 6 months from 2009 to 2010?

(Multiple Choice)

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Question 94

Complete the ordered pairs. Then graph the equation. - $x+y=-7$ $(0,),(, 0),(1,)$

(Multiple Choice)

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Question 95

Write the equation of a circle with the given center and radius. -Center at $( 0 , - 9 ) ;$ Radius $\sqrt { 2 }$

(Multiple Choice)

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Question 96

Choose the equation that matches the graph. -

(Multiple Choice)

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Question 97

Give the quadrant in which the point is located. -(-16, 0)

(Multiple Choice)

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Question 98

$\text { The graphs of } x ^ { 2 } + y ^ { 2 } = r ^ { 2 } \text { and } x ^ { 2 } + y ^ { 2 } = s ^ { 2 } \text { do not intersect if } r \text { is not equal to } s \text {. }$

(True/False)

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Question 99

Find the slope-intercept form of the equation for the line shown. -

(Multiple Choice)

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Question 100

A cross-country skier reaches the 10-km mark of a race 40 min after reaching the 2-km mark. Find the average rate of change in the speed of the skier.

For a remodeling project, the building contractors designed a chute extending from a third-floor balcony to a dumpster located in the hotel parking lot. The chute has a rise of 12 feet for every 20 Feet in horizontal distance. Find the grade of the chute. Round to the nearest whole percent.

Choose one of the four lines graphed which most closely resembles the graph of the given equation. - $\mathrm { y } = 4 \mathrm { x }$

Find the y- and x-intercepts for the equation. Then graph the equation. - $-3 x-9 y=9$

Graph the circle. - $(x-4)^{2}+y^{2}=25$ $Graph the circle. - (x-4)^{2}+y^{2}=25$

In 1980, the population of a city was 5.5 million. By 1992 the population had grown to 6.5 million. Find the average rate of change in the population.

$\text { The circle with equation } ( x + 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 16 \text { has center at } ( 1 , - 2 ) \text {. }$

Choose one of the four lines graphed which most closely resembles the graph of the given equation. -y = 3x - 4

Complete the ordered pairs. Then graph the equation. - $3 x + 4 y = 16$

Identify whether the slope is positive, negative, zero, or undefined. -

Find the average rate of change. Use appropriate units.

Choose one of the four lines graphed which most closely resembles the graph of the given equation. - $y = - 2 x + 6$

Decide whether the statement is true or false. -If a point lies on the x-axis, its x-coordinate is zero.

Use this graph to answer the question. -What was the total increase in sales for the first 6 months from 2009 to 2010?

Complete the ordered pairs. Then graph the equation. - $x+y=-7$ $(0,),(, 0),(1,)$

Write the equation of a circle with the given center and radius. -Center at $( 0 , - 9 ) ;$ Radius $\sqrt { 2 }$

Choose the equation that matches the graph. -

Give the quadrant in which the point is located. -(-16, 0)

$\text { The graphs of } x ^ { 2 } + y ^ { 2 } = r ^ { 2 } \text { and } x ^ { 2 } + y ^ { 2 } = s ^ { 2 } \text { do not intersect if } r \text { is not equal to } s \text {. }$

Find the slope-intercept form of the equation for the line shown. -

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Exam 8: Graphs, Functions, and Systems of Equations and Inequalities

A cross-country skier reaches the 10-km mark of a race 40 min after reaching the 2-km mark. Find the average rate of change in the speed of the skier.

For a remodeling project, the building contractors designed a chute extending from a third-floor balcony to a dumpster located in the hotel parking lot. The chute has a rise of 12 feet for every 20 Feet in horizontal distance. Find the grade of the chute. Round to the nearest whole percent.

Choose one of the four lines graphed which most closely resembles the graph of the given equation. - y=4x\mathrm { y } = 4 \mathrm { x }y=4x

Find the y- and x-intercepts for the equation. Then graph the equation. - −3x−9y=9-3 x-9 y=9−3x−9y=9

Graph the circle. - (x−4)2+y2=25(x-4)^{2}+y^{2}=25(x−4)2+y2=25

In 1980, the population of a city was 5.5 million. By 1992 the population had grown to 6.5 million. Find the average rate of change in the population.

The circle with equation (x+1)2+(y−2)2=16 has center at (1,−2). \text { The circle with equation } ( x + 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 16 \text { has center at } ( 1 , - 2 ) \text {. } The circle with equation (x+1)2+(y−2)2=16 has center at (1,−2).

Choose one of the four lines graphed which most closely resembles the graph of the given equation. -y = 3x - 4

Complete the ordered pairs. Then graph the equation. - 3x+4y=163 x + 4 y = 163x+4y=16

Identify whether the slope is positive, negative, zero, or undefined. -

Find the average rate of change. Use appropriate units.

Choose one of the four lines graphed which most closely resembles the graph of the given equation. - y=−2x+6y = - 2 x + 6y=−2x+6

Decide whether the statement is true or false. -If a point lies on the x-axis, its x-coordinate is zero.

Use this graph to answer the question. -What was the total increase in sales for the first 6 months from 2009 to 2010?

Complete the ordered pairs. Then graph the equation. - x+y=−7x+y=-7x+y=−7 (0,),(,0),(1,)(0,),(, 0),(1,)(0,),(,0),(1,)

Write the equation of a circle with the given center and radius. -Center at (0,−9);( 0 , - 9 ) ;(0,−9); Radius 2\sqrt { 2 }2​

Choose the equation that matches the graph. -

Give the quadrant in which the point is located. -(-16, 0)

Find the slope-intercept form of the equation for the line shown. -

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Choose one of the four lines graphed which most closely resembles the graph of the given equation. - $\mathrm { y } = 4 \mathrm { x }$

Find the y- and x-intercepts for the equation. Then graph the equation. - $-3 x-9 y=9$

Graph the circle. - $(x-4)^{2}+y^{2}=25$ $Graph the circle. - (x-4)^{2}+y^{2}=25$

$\text { The circle with equation } ( x + 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 16 \text { has center at } ( 1 , - 2 ) \text {. }$

Complete the ordered pairs. Then graph the equation. - $3 x + 4 y = 16$

Choose one of the four lines graphed which most closely resembles the graph of the given equation. - $y = - 2 x + 6$

Complete the ordered pairs. Then graph the equation. - $x+y=-7$ $(0,),(, 0),(1,)$

Write the equation of a circle with the given center and radius. -Center at $( 0 , - 9 ) ;$ Radius $\sqrt { 2 }$