Solve the system by substitution or elimination. If a system is inconsistent or has dependent equations, say so.
130)
x – y + 2z = – 3
3x + z =0
x + 4y + z =12
130)
A)
; inconsistent system
B)
{(0, 3, 0)}
C)
{(0, 3, –3)}
D)
{(0, 0, 3)}
Plot the point on the rectangular coordinate system provided. Write the corresponding letter as your answer.
131)
(–3, 4)
131)
A)
K
B)
F
C)
A
D)
B
D
Solve the system by the elimination method.
132)
x + 5y =45
–3x + 6y =54
132)
A)
{(0, 9)}
B)
{(–9, 0)}
C)
{(1, 8)}
D)
A
52
B
Solve the system of equations. If the system is inconsistent or has dependent equations, say so.
133)
x +1
2 y –1
2 z = 3
4x + 2y – 2z = 12
–2x – y + z = – 6
133)
A)
{(3, 1, 1)}
B)
; inconsistent system
C)
{(x, y, z)|–2x – y + z = – 6}; dependent equations
D)
{(3, 0, 0)}
Provide an appropriate response.
134)
If the y term is missing in both of two linear equations, the lines are ?
134)
A)
Parallel
B)
Intersecting
C)
Parallel or One Graph
D)
One Graph
Decide if the graph of the system is a pair of parallel lines, intersecting lines, or one line.
135)
x + y = – 3
x – y = – 1
135)
A)
One Line
B)
Parallel
C)
Intersecting
Decide whether the pair of lines is parallel, perpendicular, or neither.
136)
3x – 8y =2 and 32x + 12y = – 16
136)
A)
Parallel
B)
Perpendicular
C)
Neither
53
Solve the problem by using three variables.
137)
A croissant, a cup of coffee, and a fruit bowl from Kelley’s Coffee Cart cost a total of $5.50, and a
croissant costs twice as much as a cup of coffee. Kelley posts a notice announcing that, effective
next week, the price of a croissant will go up 10% and the price of coffee will go up 10%. After the
increase, the total price of the purchase will be $5.73. Find the cost of each item before the increase.
137)
A)
A fruit bowl costs $3.25, a croissant costs $1.65, and a cup of coffee costs $0.83.
B)
A fruit bowl costs $3.25, a croissant costs $1.50, and a cup of coffee costs $0.75.
C)
A fruit bowl costs $3.25, a croissant costs $0.83, and a cup of coffee costs $1.65.
D)
The prices cannot be determined from the given information.
Find the equation in slope–intercept form of the line satisfying the conditions.
138)
m =2, passes through (9, –5)
138)
A)
y =2x +22
B)
y =2x –23
C)
y =2x –21
D)
y =3x +24
Solve the problem.
139)
The mathematical model C(x) =500x + 80,000 represents the cost in dollars a company has in
manufacturing x items during a month. Based on this, how much does it cost to produce 300 items?
139)
A)
$150,000
B)
$160.00
C)
$0.53
D)
$230,000
Does the system have one solution, no solution, or an infinite number of solutions?
140)
3x = y + 3
6x – 2y = 3
140)
A)
One
B)
Infinite number
C)
No Solution
54
Solve the system by elimination.
141)
–7x – 5y =50
–3
5x + y =0
141)
A)
{(5, –3)}
B)
{(–3, –5)}
C)
{(3, –5)}
D)
{(–5, –3)}
Solve by the substitution method.
142)
7x + 9y =14
3x + 7y =6
142)
A)
{(1, 1)}
B)
{(2, 0)}
C)
{(x, y)|7x + 9y =14}
D)
Find the slope of the line.
143)
143)
A)
–3
B)
3
C)
–1
D)
1
Solve the system by substitution or elimination. If a system is inconsistent or has dependent equations, say so.
144)
1
5x + y =7
x – 35 = – 5y
144)
A)
{(5, 6)}
B)
; inconsistent system
C)
{(35, 0)}
D)
{(x, y) x + 5y =35}; dependent equations
Solve the system by elimination.
145)
2x + 3y = – 1
–12x – 18y =6
145)
A)
{(–3, –2)}
B)
{(–2, –3)}
C)
{(x, y)|2x + 3y = – 1}
D)
C
Solve the problem. Round your answer, as needed.
146)
The table below shows the weight for a calf raised by a local rancher. Use the information to
determine the average rate of change in the calf’s weight per day.
Calf’s Weight
Day Weight (in lbs)
1 505
5 525
15 575
25 625
40 700
146)
A)
500 lbs per day
B)
50 lbs per day
C)
1
5 lb per day
D)
5 lbs per day
D
Name the quadrant, if any, in which the point is located.
147)
(–11, –13)
147)
A)
None
B)
II
C)
IV
D)
III
D
D
Provide an appropriate response.
148)
Determine the quadrants in which the given point (x, y) may lie when y < 0.
148)
A)
III or IV
B)
II or III
C)
I or II
D)
I or IV
Complete the table for the equation.
149)
y = – x – 6
x y
3
–6
0
149)
A)
–9; 0; –6
B)
1; 0; –6
C)
–9; 0; 0
D)
1; –9; –6
Decide if the graph of the system is a pair of parallel lines, intersecting lines, or one line.
150)
x + 2y =12
2x + 4y =24
150)
A)
Parallel
B)
One Line
C)
Intersecting
Find the equation in slope–intercept form of the line satisfying the conditions.
151)
m = – 5
2; y–intercept 0, 25
2
151)
A)
y =5
2x –25
2
B)
y = – 5
2x –25
2
C)
y = – 5
2x +25
2
D)
y =5
2x +25
2
Decide whether the pair of lines is parallel, perpendicular, or neither.
152)
The line through (3, –5) and (–1, 7) and the line through (6, –13) and (–2, 11)
152)
A)
Parallel
B)
Perpendicular
C)
Neither
Answer Key
Testname: C7
Answer Key
Testname: C7
Answer Key
Testname: C7
Answer Key
Testname: C7