MATH 0409 TEST ON CHAPTERS 3 AND 4
ANSWER ALL QUESTIONS. TIME 1.5HRS.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the coordinates of the y-intercept and the x-intercept, in that order.
1) x + y = -4
A) (-4, 0) (0, -4)
B) (0, -1) (0, -3)
C) (-1, 0) (-3, 0)
1)
D) (-4, -3) (-1, -4)
Find an equation of the line containing the given point and having the given slope. Write the equation in
slope-intercept form.
2) (7, -8), m = 0
7
8
B) y = x + 0
C) x = 7
D) y = -8
A) y = x + 0
8
7
3) (0, 5), m = - A) y = -
5
8
5
x - 5
8
2)
3)
B) y = -
5
x + 5
8
C) y = -
Find the slope and the y -intercept of the line.
4) -6x + 8y = 16
1
A) Slope -1 ; y-intercept (0, 2)
3
5
1
x +
8
5
D) y = -
8
x + 5
5
4)
3
B) Slope - ; y-intercept (0, -2)
4
3
D) Slope ; y-intercept (0, 2)
4
1
C) Slope 1 ; y-intercept (0, -2)
3
Find an equation of the line that contains the given pair of points. Write the equation in the form y = mx + b.
5) (6, -3) and (0, -8)
5)
9
9
5
5
A) y = x - 8
B) y = - x - 8
C) y = - x - 8
D) y = x - 8
8
8
6
6
List the quadrant(s) in which the given point is located.
6) The coordinates have the same sign.
A) I, III
B) III, IV
C) II, IV
D) I, II
Find the slope of the line.
7) 3x - 5y = -16
2
A) -1
3
3
C) - 5
3
D)
5
6)
7)
2
B) 1
3
List the quadrant(s) in which the given point is located.
8) The second coordinate is negative.
A) III, IV
B) II, III
8)
C) I, II
Determine whether the given ordered pair is a solution of the equation.
9) 4x + y = 17; (3, 5)
A) No
B) Yes
1
D) I, IV
9)
Find the coordinates of the y-intercept and the x-intercept, in that order.
10) -2x - 2y = 0
A) (0, 0) (0, 0)
B) (0, -1) (0, -2)
C) (0, -2) (-1, 0)
Find the coordinates of the y-intercept for the given equation.
11) x + y = 3
A) (0, -3)
B) (0, -1)
C) (-3, 0)
10)
D) (-1, 0) (-2, 0)
11)
D) (0, 3)
List the quadrant(s) in which the given point is located.
13
13
12)
, - 25
24
A) II
12)
B) IV
C) III
D) I
Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither.
13) 6x + 2y = 8
7y - 32 = -21x
A) Neither
B) Perpendicular
C) Parallel
Find the slope of the line.
14) -5y = -4x - 18
5
A) - 4
14)
4
B)
5
4
C) - 5
5
D)
4
Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.
15) The earth is approximately 92,900,000 miles from the sun. If 1 mile = 1.61 × 103 m, what is the
distance to the sun in meters?
A) 1.50 × 1011 m
B) 1.50 × 1010 m
C) 5.7 × 1010 m
B)
15)
D) 5.7 × 10-10 m
Express using positive exponents. Then simplify.
16) x-3
A) x3
13)
16)
1
x3
C)
1
x-3
D) 3x
Provide an appropriate response.
2 r2
r
17) True or false? = s
s
17)
A) True
B) False
Add.
18) (x3 y2 - 5x2 y3 - 5xy - 4) + (x2 y3 + 7x3 y2 - 5xy - 4)
A) 6x3 y2 - 4x2 y3 - 10xy - 8
18)
B) 8x3 y2 - 4x2 y3 - 10xy - 8
C) 2x3 y2 + 2x2 y3 - 10xy - 8
D) 8x3 y2 - 4x2 y3 - 5xy - 8
2
Multiply.
19) (3y + 2)(4y2 - y + 2)
A) 1y2 + 4y + 4
19)
B) 12y3 + 5y2 + 4y + 4
D) 12y3 + 4y + 4
C) 12y3 + 11y2 + 4y + 4
20) -6x6 (10x6 - 9x4 )
A) -6x12 - 6x10
20)
B) -6x6
C) -60x12 - 9x4
D) -60x12 + 54x10
Simplify.
21)
5a 3
2
A)
21)
125a
8
B)
125a 3
8
C)
125a 3
2
D)
5a 3
8
Evaluate the polynomial.
22) x2 + 2y2 - 3xy for x = 4 and y = 6
A) 160
22)
B) 16
C) 88
D) -56
B) a 4 - 12a 2 + 36
C) a 4 + 12a 2 + 36
D) a 4 + 36
Multiply mentally.
23) (-a 2 - 6)2
23)
A) -a 4 + 12a 2 + 36
Simplify.
24)
5 2
x
A)
24)
25
x
B)
5
x2
C) 25x2
D)
25
x2
Find the slope of the line.
25)
25)
y
10
5
-10
-5
5
10
x
-5
-10
A) 1
C) -7
B) 7
3
D) -1
Find an equation of the line containing the given point and having the given slope. Write the equation in
slope-intercept form.
2
26) (10, -2), m = - 5
2
A) y = - x + 2
5
2
B) y = - x + 6
5
2
C) y = x - 2
5
Find the coordinates of the y-intercept and the x-intercept, in that order.
27) 2x - 7y = 5
5
5
5
5
A) 3, 0 , 0, 12
B) - , 0 , 0, C) , 0 , 0, 7
2
2
7
26)
18
2
D) y = - x + 5
5
27)
5
5
D) , 0 , 0, 2
7
Simplify.
28)
x6 2
2
A)
28)
x12
4
B)
a 12
2
C)
x8
4
D)
x4
4
Express using positive exponents. Then simplify.
1
29)
-m
x
A) mx
B)
29)
1
xm
C) xm
D) x-m
Solve the problem.
30) Suppose the sales of a particular brand of appliance satisfy the relationship y = 70x + 1100, where y
represents the number of sales in year x, with x = 0 corresponding to 1982. Find the number of
sales in 1997.
A) 2150 sales
B) 4300 sales
C) 2080 sales
D) 4230 sales
4
30)
Answer Key
Testname: M0409C3,4
1) A
2) D
3) B
4) D
5) D
6) A
7) D
8) A
9) B
10) A
11) D
12) B
13) C
14) B
15) A
16) B
17) B
18) B
19) B
20) D
21) B
22) B
23) C
24) D
25) D
26) A
27) D
28) A
29) C
30) A
5