Complete the table for the equation.
97)
y + 4x = – 16
x y
–6
48
0
97)
A)
8; –16; –16
B)
8; –16; 0
C)
8; – 48; 48
D)
–6; –16; –16
Solve the problem.
98)
During the 1998–1999 Junior Hockey League season, the Sharks played 50 games. Together, their
wins and losses totaled 42. They tied 3 fewer games than they lost. How many games did they lose
that season?
98)
A)
31 games
B)
11 games
C)
8 games
D)
9 games
Find the average rate of change illustrated in the graph.
99)
Height of
Sand in
Hourglass
(in mm)
Time (in seconds)
99)
A)
.75 mm per second
B)
1 mm per second
C)
1.3 mm per second
D)
.85 mm per second
Solve the system by elimination.
100)
–2x + 6y =2
–6x + 18y = – 6
100)
A)
{(4, –12)}
B)
{(–4, 12)}
C)
{(x, y)|–2x + 6y =2}
D)
Use a graphing calculator to solve the system.
101)
–3x +3y = 0
4x + 2y =15
101)
A)
{(3.5, 2.5)}
B)
{(–2.5, –1.5)}
C)
{(2.5, 1.5)}
D)
{(2.5, 2.5)}
D
Does the system have one solution, no solution, or an infinite number of solutions?
102)
x – 6 = y
y + 9 = x
102)
A)
One
B)
Infinite number
C)
No Solution
C
Graph the equation by determining the missing values needed to plot the ordered pairs.
103)
y + x =4; (1, ), (4, ), (3, )
103)
42
D
A)
B)
C)
D)
Solve the problem using a system of equations.
104)
A company sells nuts in bulk quantities. When bought in bulk, peanuts sell for $1.25 per pound,
almonds for $2.35 per pound, and cashews for $3.30 per pound. Suppose a specialty shop wants a
mixture of 320 pounds that will cost $2.70 per pound. Find the number of pounds of each type of
nut if the sum of the number of pounds of almonds and cashews is three times the number of
pounds of peanuts. Round your answers to the nearest pound.
104)
A)
Peanuts: 30 lb., almonds: 210 lb., cashews: 80 lb.
B)
Peanuts: 90 lb., almonds: 30 lb., cashews: 200 lb.
C)
Peanuts: 80 lb., almonds: 30 lb., cashews: 210 lb.
D)
Peanuts: 210 lb., almonds: 80 lb., cashews: 30 lb.
Solve the problem.
105)
Using a phone card to make a long distance call costs a flat fee of $0.86 plus $0.30 per minute
starting with the first minute. Find the total cost of a phone call which lasts 12 minutes.
105)
A)
$12.26
B)
$3.60
C)
$10.62
D)
$4.46
Find an equation of the line that satisfies the conditions. Write the equation in standard form.
106)
Through 1
6, 2
7 ; vertical
106)
A)
x =1
6
B)
y =1
6
C)
y =2
7
D)
x =2
7
Provide an appropriate response.
107)
Identify whether the slope is positive, negative, zero, or undefined.
107)
A)
Positive
B)
Undefined
C)
Negative
D)
Zero
Decide whether the pair of lines is parallel, perpendicular, or neither.
108)
y =9 and 9– y = – 3
108)
A)
Parallel
B)
Perpendicular
C)
Neither
Plot the point on the rectangular coordinate system provided. Write the corresponding letter as your answer.
109)
(2, 0)
109)
A)
F
B)
B
C)
K
D)
C
Solve the system by graphing.
110)
3x + y =3
y =2x + 3
110)
A)
{(3, –6)}
B)
{(3, 0)}
C)
{(–1, 1)}
D)
{(0, 3)}
45
Solve the system of equations. If the system is inconsistent or has dependent equations, say so.
111)
x – y + 8z = – 107
x + 2y = 21
2x + y + 8z = – 80
111)
A)
{(5, 8, 0)}
B)
; inconsistent system
C)
{(5, 8, –13)}
D)
{(x, y, z)|2x + y + 8z = – 80}; dependent equations
Find an equation of the line satisfying the conditions. Write the equation in slope–intercept form.
112)
Through (1, 9); perpendicular to x= 5
112)
A)
y = 1
B)
y = – 9
C)
y = – 1
D)
y = 9
Solve the problem.
113)
The perimeter of a rectangle is 50 m. If the width were doubled and the length were increased by 19
m, the perimeter would be 108 m. What are the length and width of the rectangle?
113)
A)
Length: 12 m; width: 12 m
B)
Length: 12 m; width: 7 m
C)
Length: 15 m; width: 10 m
D)
Length: 10 m; width: 15 m
Use a graph to solve the system.
114)
x – y =2
x + y =14
114)
A)
{(6, 8)}
B)
{(16, 12)}
C)
{(12, 16)}
D)
{(8, 6)}
Suppose that segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates of
the other endpoint Q.
115)
P(8, 4) and M 17
2, 3
115)
A)
Q1
2, – 1
B)
Q 1, –2
C)
Q(9, 2)
D)
Q17, 6
Solve the problem using a system of equations.
116)
Paul invested three times as much money in an account paying 4% interest than he did in an
account paying 2% interest. If the total interest paid was $630, how much did he invest in each?
116)
A)
$13,500 at 4%, $5000 at 2%
B)
$13,500 at 4%, $4500 at 2%
C)
$135 at 4%, $45 at 2%
D)
$4500 at 4%, $13,500 at 2%
Solve by the substitution method.
117)
8x + 9y = – 9
4x – 7y =7
117)
A)
{(–1, 0)}
B)
{(0, 0)}
C)
{(0, –1)}
D)
Solve the problem by using three variables.
118)
The perimeter of a triangle is 28 inches. Three times the length of the longest side minus the length
of the shortest side is 36 inches. The sum of the length of the longest side and twice the sum of both
the other side lengths is 43 inches. Find the side lengths.
118)
A)
3in., 13 in., 12 in.
B)
3in., 12 in., 13 in.
C)
2in., 12 in., 14 in.
D)
No solution
119)
A basketball fieldhouse seats 15,000. Courtside seats sell for $10, endzone for $7, and balcony for $
5. The total revenue from a sell–out is $94,000. If half the courtside and balcony seats and all the
endzone seats are sold, the total revenue is $54,000. How many of each type are there?
119)
A)
3000 courtside; 3000 endzone; 8,000 balcony
B)
3200 courtside; 1800 endzone; 10,000 balcony
C)
3000 courtside; 2000 endzone; 10,000 balcony
D)
4000 courtside; 3000 endzone; 8000 balcony
Solve the system of equations. If the system is inconsistent or has dependent equations, say so.
120)
2x + 6y + 8z =90
x + 3y + 4z = – 15
x + y + z = – 6
120)
A)
; inconsistent system
B)
{(–6, –5, 3)}
C)
{(–5, 3, –6)}
D)
{(x, y, z) x + 3y + 4z = – 15}; dependent equations
Solve the problem. Round your answer, as needed.
121)
A deep sea diving bell is being lowered at a constant rate. After 8 minutes, the bell is at a depth of
500 ft. After 35 minutes the bell is at a depth of 1900 ft. What is the average rate of lowering per
minute?
121)
A)
40.0 ft per minute
B)
54.3 ft per minute
C)
51.9 ft per minute
D)
0.02 ft per minute
Find an equation of the line passing through the two points. Write the equation in standard form.
122)
(10, 9) and (10, 1)
122)
A)
x + y = 11
B)
y = 9
C)
x = 10
D)
x + y = 19
C
Find the slope and the y–intercept of the line.
123)
5x + 9y =43
123)
A)
Slope 4
5; y–intercept 0, 9
43
B)
Slope –4
5; y–intercept 0, 9
43
C)
Slope 5
9; y–intercept 0, 43
9
D)
Slope –5
9; y–intercept 0, 43
9
D
Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line
through the points rises from left to right, falls from left to right, is horizontal, or is vertical.
124)
(2.2, 0.5) and (0.1, –2.3)
124)
A)
3
4; rises
B)
–4
3; falls
C)
–3
4 falls
D)
4
3; rises
D
C
Find the slope of the line.
125)
125)
A)
3
B)
Undefined
C)
0
D)
3
2
Find an equation of the line that satisfies the conditions. Write the equation in standard form.
126)
Through (0, 5); m = – 2
3
126)
A)
2x + 3y = – 15
B)
2x + 3y =15
C)
2x – 3y =15
D)
3x + 2y = – 15
Solve the problem.
127)
It costs $42 per hour plus a flat fee of $19 for a plumber to make a house call. What is an equation of
the form y = mx + b for this situation?
127)
A)
y =42x +19
B)
y =19x +42
C)
y =19x
D)
y =42x
Does the system have one solution, no solution, or an infinite number of solutions?
128)
2x + 3y = 6
4x + 6y = 12
128)
A)
Infinite number
B)
No Solution
C)
One
Graph the line described.
129)
Undefined slope; through (2, 9)
129)
A)
B)
C)
D)