Exam
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
1) In a rectangular coordinate system, the point where the x- and y-axes meet is 1)
called the .
2) The x- and y-axes divide the coordinate plane into four regions called 2)
.
3) The distance between two distinct points (x1, y1) and (x2, y2) is given by the 3)
formula .
4) The midpoint of the line segment with endpoints (x1, y1) and (x2, y2) is given by 4)
the formula .
5) A to an equation in the variables x and y is an ordered pair (x, y) 5)
that makes the equation a true statement.
6) An x-intercept of a graph has a y-coordinate . 6)
7) A y-intercept of a graph has an x-coordinate of . 7)
8) Given an equation in the variables x and y, find the y-intercept by substituting 8)
for x and solving for .
1
,MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Plot the point on a rectangular coordinate system.
9) A(2, -5) 9)
y y
A 6 6
5 5
4 4
3 A 3
2 2
1 1
-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 x -6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 x
-2 -2
-3 -3
-4 -4
-5 -5
-6 -6
A) B)
y y
6 6
5 5
4 4
3 3
2 2
1 1
-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 x -6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 x
A
-2 -2
-3 -3
-4 -4 A
-5 -5
-6 -6
C) D)
Find the exact distance between the points.
10) (-9, 4) and (-5, -6) 10)
A) 2 29 B) 200 C) 116 D) 10 2
Find the midpoint of the line segment whose endpoints are the given points.
11) (5.3, 4.7) and (7.2, -9.7) 11)
A) (6.25, 7.2) B) (5, -1.25) C) (6.25, -2.5) D) (-0.95, 7.2)
Find the exact distance between the points.
12) ( 5, - 3) and (4 5, -7 3) 12)
A) 6 7 B) 2 42 C) 2 58 D) 3 17
2
,Find the midpoint of the line segment whose endpoints are the given points.
13) (3, 1) and (9, 4) 13)
5 3
A) (12, 5) B) 6, C) -3, D) (-6, 3)
2 2
14) (-24.6, 38.1) and (-25.7, -17.7) 14)
A) (-25.15, 10.2) B) (6.75, -21.7) C) (0.55, 27.9) D) (-25.15, 27.9)
15) ( 7, - 3) and (6 7, -5 3) 15)
5 7 7 7
A) (7 7, -6 3) B) (5 7, -4 3) C) , -2 3 D) , -3 3
2 2
Determine if the given points form the vertices of a right triangle.
16) (-3, 5), (-1, 3), and (-4, 0) 16)
A) No B) Yes
Determine which of the given points are solutions to the given equation.
17) 2x2 + y = 4 17)
I. (3, -14) II. (-3, 14) III. (-3, -14)
A) I B) I and II C) II D) I and III E) III
18) |x - 3| - y = 2 18)
1 3
I. (1, 0) II. , III. (-5, 10)
4 4
A) II B) I and III C) III D) I and II E) I
Identify the set of values x for which y will be a real number.
10
19) y = 19)
x+7
10
A) {x | x ≠ 10} B) x|x≠ C) {x | x ≠ -7} D) {x | x ≠ 7}
7
20) y = x-8 20)
A) {x | x ≤ 8} B) {x | x > 8} C) {x | x ≥ 8} D) {x | x < 8}
3
, Graph the equation by plotting points.
21) x = |y| - 5 21)
A) B)
6 y 12 y
5 11
4 10
3 9
2 8
1 7
6
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1-1 1 2x 5
-2 4
-3 3
-4 2
-5 1
-6
-1 1 2 3 4 5 6 7 8 9 10 11 x
C) D)
6 y 2 y
5 1
4
3 -1-1 1 2 3 4 5 6 7 8 9 10 11 x
2 -2
1 -3
-4
-1 1 2 3 4 5 6 7 8 9 10 11 12x -5
-2 -6
-3 -7
-4 -8
-5 -9
-6 -10
4
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
1) In a rectangular coordinate system, the point where the x- and y-axes meet is 1)
called the .
2) The x- and y-axes divide the coordinate plane into four regions called 2)
.
3) The distance between two distinct points (x1, y1) and (x2, y2) is given by the 3)
formula .
4) The midpoint of the line segment with endpoints (x1, y1) and (x2, y2) is given by 4)
the formula .
5) A to an equation in the variables x and y is an ordered pair (x, y) 5)
that makes the equation a true statement.
6) An x-intercept of a graph has a y-coordinate . 6)
7) A y-intercept of a graph has an x-coordinate of . 7)
8) Given an equation in the variables x and y, find the y-intercept by substituting 8)
for x and solving for .
1
,MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Plot the point on a rectangular coordinate system.
9) A(2, -5) 9)
y y
A 6 6
5 5
4 4
3 A 3
2 2
1 1
-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 x -6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 x
-2 -2
-3 -3
-4 -4
-5 -5
-6 -6
A) B)
y y
6 6
5 5
4 4
3 3
2 2
1 1
-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 x -6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 x
A
-2 -2
-3 -3
-4 -4 A
-5 -5
-6 -6
C) D)
Find the exact distance between the points.
10) (-9, 4) and (-5, -6) 10)
A) 2 29 B) 200 C) 116 D) 10 2
Find the midpoint of the line segment whose endpoints are the given points.
11) (5.3, 4.7) and (7.2, -9.7) 11)
A) (6.25, 7.2) B) (5, -1.25) C) (6.25, -2.5) D) (-0.95, 7.2)
Find the exact distance between the points.
12) ( 5, - 3) and (4 5, -7 3) 12)
A) 6 7 B) 2 42 C) 2 58 D) 3 17
2
,Find the midpoint of the line segment whose endpoints are the given points.
13) (3, 1) and (9, 4) 13)
5 3
A) (12, 5) B) 6, C) -3, D) (-6, 3)
2 2
14) (-24.6, 38.1) and (-25.7, -17.7) 14)
A) (-25.15, 10.2) B) (6.75, -21.7) C) (0.55, 27.9) D) (-25.15, 27.9)
15) ( 7, - 3) and (6 7, -5 3) 15)
5 7 7 7
A) (7 7, -6 3) B) (5 7, -4 3) C) , -2 3 D) , -3 3
2 2
Determine if the given points form the vertices of a right triangle.
16) (-3, 5), (-1, 3), and (-4, 0) 16)
A) No B) Yes
Determine which of the given points are solutions to the given equation.
17) 2x2 + y = 4 17)
I. (3, -14) II. (-3, 14) III. (-3, -14)
A) I B) I and II C) II D) I and III E) III
18) |x - 3| - y = 2 18)
1 3
I. (1, 0) II. , III. (-5, 10)
4 4
A) II B) I and III C) III D) I and II E) I
Identify the set of values x for which y will be a real number.
10
19) y = 19)
x+7
10
A) {x | x ≠ 10} B) x|x≠ C) {x | x ≠ -7} D) {x | x ≠ 7}
7
20) y = x-8 20)
A) {x | x ≤ 8} B) {x | x > 8} C) {x | x ≥ 8} D) {x | x < 8}
3
, Graph the equation by plotting points.
21) x = |y| - 5 21)
A) B)
6 y 12 y
5 11
4 10
3 9
2 8
1 7
6
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1-1 1 2x 5
-2 4
-3 3
-4 2
-5 1
-6
-1 1 2 3 4 5 6 7 8 9 10 11 x
C) D)
6 y 2 y
5 1
4
3 -1-1 1 2 3 4 5 6 7 8 9 10 11 x
2 -2
1 -3
-4
-1 1 2 3 4 5 6 7 8 9 10 11 12x -5
-2 -6
-3 -7
-4 -8
-5 -9
-6 -10
4
