Deck 14: Review

Question 1

Find the distance d( .

Answer 1

B

Question 2

Plot the point.

Answer 2

A

Question 3

Plot the point.

Answer 3

D

Question 4

Find the distance d( .

Question 5

Tell in which quadrant or on what coordinate axis the point lies.
(-16, 14)

A) Quadrant III
B) Quadrant II
C) Quadrant I
D) Quadrant IV

Question 6

Find the distance d( .

Question 7

Tell in which quadrant or on what coordinate axis the point lies.
(-10, -6)

A) Quadrant IV
B) Quadrant II
C) Quadrant III
D) Quadrant I

Question 8

Find the distance d( .

Question 9

Plot the point.

Question 10

Plot the point.

Question 11

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

Question 12

Plot the point.

Question 13

Find the distance d( .

Question 14

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 15

Find the distance d( .

Question 16

Tell in which quadrant or on what coordinate axis the point lies.
(12, -13)

A) Quadrant II
B) Quadrant I
C) Quadrant III
D) Quadrant IV

Question 17

Plot the point.

Question 18

Find the distance d( .

Question 19

Tell in which quadrant or on what coordinate axis the point lies.
(6, 17)

A) Quadrant II
B) Quadrant I
C) Quadrant III
D) Quadrant IV

Question 20

Find the distance d( .

A) 0
B) 2
C) 1
D)

Question 21

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

A) Yes
B) No

Question 22

Find the midpoint of the line segment joining the points

Question 23

Find the distance d( .

Question 24

Solve the problem.
Find all values of k so that the given points are units apart. (-5, 5), (k, 0)

A) 7
B) 3, 7
C) -3, -7
D) -7

Question 25

Find the midpoint of the line segment joining the points

Question 26

Find the distance d( .

Question 27

Find the midpoint of the line segment joining the points

Question 28

Find the midpoint of the line segment joining the points

Question 29

Find the midpoint of the line segment joining the points

Question 30

Solve the problem.
Find all the points having an x-coordinate of 9 whose distance from the point (3, -2) is 10.

A) (9, -12), (9, 8)
B) (9, 13), (9, -7)
C) (9, 2), (9, -4)
D) (9, 6), (9, -10)

Question 31

Solve the problem.
Find the area of the right triangle ABC with A = (-2, 7), B = (7, -1), C = (3, 9).

Question 32

Find the midpoint of the line segment joining the points

Question 33

Find the distance d( .

Question 34

Decide whether or not the points are the vertices of a right triangle.
(-1, 7), (6, 7), (6, 9)

A) Yes
B) No

Question 35

Solve the problem.
Find the length of each side of the triangle determined by the three points . State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both. isosceles triangle

Question 36

Find the distance d( .

Question 37

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

A) No
B) Yes

Question 38

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 39

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

A) Yes
B) No

Question 40

Solve the problem.
A motorcycle and a car leave an intersection at the same time. The motorcycle heads north at an average speed of 20 miles per hour, while the car heads east at an average speed of 48 miles per hour. Find an expression for
Their distance apart in miles at the end of t hours.

Question 41

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 42

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

A) Yes
B) No

Question 43

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 44

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 45

Graph the equation by plotting points.

Question 46

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 47

List the intercepts of the graph.

Question 48

List the intercepts of the graph.

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

Question 49

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 50

Solve the problem.

Question 51

Determine whether the given point is on the graph of the equation.
Equation: y Point: (1, 0)

A) Yes
B) No

Question 52

Graph the equation by plotting points.

Question 53

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 54

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 55

Graph the equation by plotting points.

Question 56

List the intercepts of the graph.

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

Question 57

Graph the equation by plotting points.

Question 58

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 59

List the intercepts of the graph.

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

Question 60

Graph the equation by plotting points.

Question 61

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 62

Plot the point A. Plot the point B that has the given symmetry with point A.
A = (0, 2); B is symmetric to A with respect to the origin

Question 63

List the intercepts for the graph of the equation.

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 64

List the intercepts for the graph of the equation.

A) (-2, 0), (-5, 0), (0, 10)
B) (0, 2), (0, 5), (10, 0)
C) (0, -2), (0, -5), (10, 0)
D) (2, 0), (5, 0), (0, 10)

Question 65

List the intercepts for the graph of the equation.

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

Question 66

List the intercepts for the graph of the equation.

A) (0, 25)
B) (0, 25), (-5, 0), (5, 0)
C) (25, 0)
D) (25, 0), (0, -5), (0, 5)

Question 67

List the intercepts for the graph of the equation.

A) (0, 0)
B) (-3, 0), (3, 0)
C) (0, -3), (0, 3)
D) (-9, 0), (0, 0), (9, 0)

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

Plot the point A. Plot the point B that has the given symmetry with point A.
A = (2, -5); B is symmetric to A with respect to the x-axis

Question 70

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 71

List the intercepts for the graph of the equation.

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

Question 72

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 73

List the intercepts for the graph of the equation.

A) (-16, 0), (0, -4), (0, 4), (16, 0)
B) (-4, 0), (-16, 0), (16, 0), (4, 0)
C) (-4, 0), (0, -2), (0, 2), (4, 0)
D) (-2, 0), (-4, 0), (4, 0), (2, 0)

Question 74

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 75

List the intercepts for the graph of the equation.

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

Question 76

List the intercepts for the graph of the equation.

A) (0, -27), (3, 0)
B) (-27, 0), (0, 3)
C) (0, -3), (-3, 0)
D) (0, -3), (0, 3)

Question 77

List the intercepts for the graph of the equation.

A) (-9, 0), (0, -1), (0, 1), (9, 0)
B) (-1, 0), (0, -3), (0, 3), (1, 0)
C) (-1, 0), (0, -9), (0, 9), (1, 0)
D) (-3, 0), (0, -1), (0, 1), (3, 0)

Question 78

List the intercepts for the graph of the equation.

A) (0, -5), (25, 0), (0, 5)
B) (-5, 0), (0, -25), (5, 0)
C) (5, 0), (0, 25), (0, -25)
D) (-5, 0), (0, 25), (5, 0)

Question 79

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

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

Question 80

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.