What is the solution to the following system of equations? (1 point)
x − 4y = 6
2x + 2y = 12
(0, 10)
(10, 0)
(6, 0)
(0, 6)
10.
(04.02 MC)
Solve the following system of equations: (1 point)
3x − 2y = 6
6x − 4y = 12
(0, 0)
(6, 12)
Infinitely many solutions
No solutions
11.
(04.02 MC)
Visitors to a carnival can buy an unlimited-ride pass for $50 or an entrance-only pass for $20. In one day, 282 passes were sold for a total of $10,680. The following system of equations models this scenario:
50x + 20y = 10,680
x + y = 282
How many unlimited-ride passes were sold? (1 point)
114
146
168
212
12.
(04.03 LC)
Create an equivalent system of equations using the sum of the system and the first equation. (1 point)
−5x + 4y = 8
4x + y = 2
−5x + 4y = 8
9x + 5y = 10
−5x + 4y = 8
−x + 5y = 10
−5x + 4y = 8
9x + 5y = 2
−5x + 4y = 8
−x + y = 10
13.
(04.03 MC)
Determine the equivalent system for the given system of equations: (1 point)
5x − 3y = 6
x + y = 2
5x − 3y = 6
6x − 2y = 8
5x − 3y = 6
2x + 2y = 2
−5x − 3y = 6
x + y = 2
5x − 3y = 6
6x − 2y = 2
14.
(04.03 MC)
Explain how System 1 becomes equivalent to System 2. (1 point)
System 1:
Ax + By = C
Lx + My = N
System 2:
Ax + By = C
(A − L)x + (B − M)y = C − N
The first equation in System 1 is the sum of the equations in System 2. The second equation in System 2 is the first equation in System 2.
The first equation in System 1 is the difference of the equations in System 2. The second equation in System 1 is the first equation in System 2.
The second equation in System 2 is the sum of the equations in System 1. The first equation in System 2 is the first equation in System 1.
The second equation in System 2 is the difference of the equations in System 1. The first equation in System 2 is the first equation in System 1.
15.
(04.04 LC)
The functions f(x) = −2x + 30 and g(x) = 3x + 10 are shown in the graph.
graph of f of x equals negative 2 times x plus 30 and g of x equals 3 times x plus 10
Determine the approximate ordered pair for f(x) = g(x).
(4, 22)
(22, 4)
(4, 18)
(18, 4)
16.
The table shows values of f(x) and g(x) for selected values of x:
x f(x) = −4x + 7 g(x) = 3x
−2 15
−1 11
0 1
1
2 9
