Deck 14: Foundations: a Prelude to Functions

Question 1

Find the distance d(P1, P2) between the points P1 and P2.

A) 0
B) 2
C) 1
D) 5

Answer 1

D

Question 2

Tell in which quadrant or on what coordinate axis the point lies.
(-7, 0)

A) x-axis
B) Quadrant II
C) Quadrant I
D) y-axis

Answer 2

A

Question 3

Tell in which quadrant or on what coordinate axis the point lies.

Answer 3

B

Question 4

Plot the point.

Question 5

Tell in which quadrant or on what coordinate axis the point lies.

Question 6

Tell in which quadrant or on what coordinate axis the point lies.
(0, -6)

A) x-axis
B) y-axis
C) Quadrant I
D) Quadrant II

Question 7

Tell in which quadrant or on what coordinate axis the point lies.

Question 8

Find the distance d(P1, P2) between the points P1 and P2.

Question 9

Find the distance d(P1, P2) between the points P1 and P2.

Question 10

Find the distance d(P1, P2) between the points P1 and P2.

Question 11

Tell in which quadrant or on what coordinate axis the point lies.

Question 12

Plot the point.

Question 13

Find the distance d(P1, P2) between the points P1 and P2.

Question 14

Plot the point.

Question 15

Plot the point.

Question 16

Plot the point.

Question 17

Find the distance d(P1, P2) between the points P1 and P2.

Question 18

Plot the point.

Question 19

Find the distance d(P1, P2) between the points P1 and P2.

Question 20

Find the distance d(P1, P2) between the points P1 and P2.

Question 21

Solve the problem.

Question 22

Find the distance d(P1, P2) between the points P1 and P2.

Question 23

Find the midpoint of the line segment joining the points P1 and P2.

Question 24

Find the midpoint of the line segment joining the points P1 and P2.

Question 25

Find the midpoint of the line segment joining the points P1 and P2.

Question 26

Solve the problem.

Question 27

Find the midpoint of the line segment joining the points P1 and P2.

Question 28

Find the distance d(P1, P2) between the points P1 and P2.

Question 29

Solve the problem.

Question 30

Decide whether or not the points are the vertices of a right triangle.
(8, -7), (14, -5), (13, -10)

A) Yes
B) No

Question 31

Solve the problem.

Question 32

Find the midpoint of the line segment joining the points P1 and P2.

Question 33

Solve the problem.
A middle school's baseball playing field is a square, 55 feet on a side. How far is it directly from home plate to second base (the diagonal of the square)? If necessary, round to the nearest foot.

A) 85 feet
B) 79 feet
C) 78 feet
D) 77 feet

Question 34

Find the distance d(P1, P2) between the points P1 and P2.

Question 35

Decide whether or not the points are the vertices of a right triangle.

Question 36

Find the distance d(P1, P2) between the points P1 and P2.

Question 37

Solve the problem.

Question 38

Decide whether or not the points are the vertices of a right triangle.
(1, -3), (7, -1), (13, -8)

A) Yes
B) No

Question 39

Find the midpoint of the line segment joining the points P1 and P2.

Question 40

Decide whether or not the points are the vertices of a right triangle.
(6, 12), (8, 16), (10, 15)

A) No
B) Yes

Question 41

Solve the problem.
If (1, -4) is the endpoint of a line segment, and (3, 1) is its midpoint, find the other endpoint.

A) (11, 0)
B) (5, 6)
C) (5, -9)
D) (-3, -14)

Question 42

Graph the equation by plotting points.

Question 43

Solve the problem.
The medians of a triangle intersect at a point. The distance from the vertex to the point is exactly two-thirds of the distance from the vertex to the midpoint of the opposite side. Find the exact distance of that point from the
Vertex A(3, 4) of a triangle, given that the other two vertices are at (0, 0) and (8, 0).

Question 44

List the intercepts of the graph.

A) (0, 2)
B) (0, -2)
C) (-2, 0)
D) (2, 0)

Question 45

List the intercepts of the graph.

A) (-8, 0), (0, 8)
B) (-8, 0), (0, -8), (0, 0), (0, 8), (8, 0)
C) (0, 8), (8, 0)
D) (-8, 0), (0, -8), (0, 8), (8, 0)

Question 46

Determine whether the given point is on the graph of the equation.

Question 47

Solve the problem.
If (-7, -3) is the endpoint of a line segment, and (-3, -5) is its midpoint, find the other endpoint.

A) (-11, 5)
B) (-15, 1)
C) (1, -7)
D) (1, -1)

Question 48

Graph the equation by plotting points.

Question 49

List the intercepts of the graph.

A) (0, -2), (8, 0), (0, 4)
B) (0, -2), (0, 8), (4, 0)
C) (-2, 0), (0, 8), (4, 0)
D) (-2, 0), (0, 8), (0, 4)

Question 50

Solve the problem.
If (a, 3) is a point on the graph of y = 2x - 5, what is a?

A) -1
B) -4
C) 4
D) 1

Question 51

Solve the problem.
If (7, -6) is the endpoint of a line segment, and (2, -5) is its midpoint, find the other endpoint.

A) (-3, -4)
B) (9, -16)
C) (-3, -7)
D) (17, -8)

Question 52

List the intercepts of the graph.

Question 53

Graph the equation by plotting points.

Question 54

Determine whether the given point is on the graph of the equation.

Question 55

List the intercepts of the graph.

A) (0, 1)
B) (1, 0)
C) (0, 0)
D) (1, 1)

Question 56

Solve the problem.
If (5, 3) is the endpoint of a line segment, and (1, 1) is its midpoint, find the other endpoint.

A) (13, 7)
B) (-3, 5)
C) (1, -5)
D) (-3, -1)

Question 57

Graph the equation by plotting points.

Question 58

Graph the equation by plotting points.

Question 59

List the intercepts of the graph.

Question 60

Solve the problem.

Question 61

List the intercepts for the graph of the equation.

Question 62

List the intercepts for the graph of the equation.

Question 63

Plot the point A. Plot the point B that has the given symmetry with point A.

Question 64

List the intercepts for the graph of the equation.

Question 65

List the intercepts for the graph of the equation.
y2 = x + 49

A) (0, -7), (49, 0), (0, 7)
B) (-7, 0), (0, -49), (7, 0)
C) (7, 0), (0, 49), (0, -49)
D) (0, -7), (-49, 0), (0, 7)

Question 66

List the intercepts for the graph of the equation.

Question 67

List the intercepts of the graph.

A) (4, 0), (0, 4), (0, 1), (0, -5)
B) (-4, 0), (1, 0), (5, 0), (0, 4)
C) (4, 0), (0, -4), (0, 1), (0, 5)
D) (4, 0), (1, 0) (-5, 0), (0, 4)

Question 68

List the intercepts of the graph.Tell whether the graph is symmetric with respect to the x-axis, y-axis, origin, or none of
these.

Question 69

List the intercepts for the graph of the equation.
y = x - 6

A) (6, 0), (0, -6)
B) (6, 0), (0, 6)
C) (-6, 0), (0, 6)
D) (-6, 0), (0, -6)

Question 70

List the intercepts for the graph of the equation.
y = 2x

A) (2, 0)
B) (0, 0)
C) (0, 2)
D) (2, 2)

Question 71

List the intercepts for the graph of the equation.

Question 72

List the intercepts for the graph of the equation.

Question 73

List the intercepts of the graph.Tell whether the graph is symmetric with respect to the x-axis, y-axis, origin, or none of
these.

Question 74

List the intercepts of the graph.Tell whether the graph is symmetric with respect to the x-axis, y-axis, origin, or none of
these.

Question 75

List the intercepts for the graph of the equation.

Question 76

List the intercepts for the graph of the equation.

Question 77

List the intercepts for the graph of the equation.

Question 78

List the intercepts for the graph of the equation.

Question 79

List the intercepts of the graph.Tell whether the graph is symmetric with respect to the x-axis, y-axis, origin, or none of
these.

Question 80

Plot the point A. Plot the point B that has the given symmetry with point A.