Exam Questions Ch2 Graphs

College Algebra, 5e (Young)

Chapter 2 Graphs

2.1 Basic Tools: Cartesian Plane, Distance, and Midpoint

1) Name the quadrant for the point (-15, -31).

A) I

B) II

C) III

D) IV

Diff: 1 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Plot points on the Cartesian plane.

2) Name the quadrant for the point (-42, 16).

A) I

B) II

C) III

D) IV

Diff: 1 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Plot points on the Cartesian plane.

3) Name the quadrant for the point (19, -38).

A) I

B) II

C) III

D) IV

Diff: 1 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Plot points on the Cartesian plane.

4) Describe the line containing the points (-49, -42), (-18, -42), (45, -42).

A) vertical line

B) horizontal line

C) a line slanting upward from left to right

D) a line slanting downward from left to right

Diff: 1 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Plot points on the Cartesian plane.

5) Describe the line containing the points (-17, -27), (-17, 9), (-17, 31).

A) vertical line

B) horizontal line

C) a line slanting upward from left to right

D) a line slanting downward from left to right

Diff: 1 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Plot points on the Cartesian plane.

6) Describe the line containing the points (-22, -33), (18, 33), (37, 46).

A) vertical line

B) horizontal line

C) a line slanting upward from left to right

D) a line slanting downward from left to right

E) None of the above.

Diff: 2 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Plot points on the Cartesian plane.

7) Describe the line containing the points (-20, -35), (-16, -77), (-8, -101).

A) vertical line

B) horizontal line

C) a line slanting upward from left to right

D) a line slanting downward from left to right

Diff: 2 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Plot points on the Cartesian plane.

8) Find the distance between the points (1, -7) and (8, -1).

A)

B) 85

C) 13

D)

Diff: 2 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Calculate the distance between two points.

9) Find the distance between the points (-6, 4) and (-3, 6).

A)

B)

C) 5

D) 13

Diff: 2 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Calculate the distance between two points.

10) Find the midpoint of the segment joining the points (-9, -6) and (-7, -2)

A) (-4, -8)

B) (-1, -2)

C) (-8, -4)

D) (-16, -8)

Diff: 2 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Find the midpoint of a line segment joining two points.

11) Find the midpoint of the segment joining the points (-10, 4) and (9, -7).

A) (-1, -3)

B) (-0.5, -1.5)

C) (9.5, -5.5)

D) (-9.5, 5.5)

Diff: 2 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Find the midpoint of a line segment joining two points.

12) Calculate the distance (to two decimal places) and the midpoint between the segment joining the points (-2, 2) and (-10, 4).

Diff: 2 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Calculate the distance between two points.; Find the midpoint of a line segment joining two points.

13) Calculate the distance (to two decimal places) and the midpoint between the segment joining the points (-2.5, 5) and (7.6, 7.4).

Diff: 2 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Calculate the distance between two points.; Find the midpoint of a line segment joining two points.

14) Determine whether the triangle with the given vertices is a right triangle, an isosceles triangle, neither, or both. (Recall that a right triangle satisfies the Pythagorean theorem and an isosceles triangle has at least two sides of equal length.)

(13, 8), (18, -4), and (25, 3)

Diff: 3 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Calculate the distance between two points.

15) Determine whether the triangle with the given vertices is a right triangle, an isosceles triangle, neither, or both. (Recall that a right triangle satisfies the Pythagorean theorem and an isosceles triangle has at least two sides of equal length.)

(-2, -5), (2, -5), and (2, -1)

Diff: 2 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Calculate the distance between two points.

16) Give the coordinates for the point in the graph.

Diff: 1 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Plot points on the Cartesian plane.

17) Give the coordinates for the point in the graph.

A) (3, -4)

B) (3, 4)

C) (-3, 4)

D) (-3, -4)

Diff: 1 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Plot points on the Cartesian plane.

18) Give the coordinates for the point in the graph.

Diff: 1 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Plot points on the Cartesian plane.

19) Give the coordinates for the point in the graph.

A) (0, -3)

B) (3, 0)

C) (-3, 0)

D) -3

Diff: 1 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Plot points on the Cartesian plane.

20) Calculate (to two decimal places) the perimeter of the triangle with the following vertices at points A, B, and C.

Diff: 2 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Calculate the distance between two points.

21) Calculate (to two decimal places) the perimeter of the triangle with the following vertices at points A, B, and C.

A) 11.10

B) 16.22

C) 88.00

D) -0.83

Diff: 2 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Calculate the distance between two points.

22) Find the distance between the points (-14, -7) and (-2, -2).

Diff: 2 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Calculate the distance between two points.

23) Find the distance between the points and . (Give the exact answer.)

Diff: 2 Var: 1

Chapter/Section: Ch 02, Sec 01

Learning Objective: Calculate the distance between two points.

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