Question 1(Multiple Choice Worth 4 points) (08.03)Consider the following set of equations:

Equation A: y = 2x + 4
Equation B: y = 3x + 1

Which of the following is a step that can be used to find the solution to the set of equations?

2x + 4 = 3x + 1
2x = 3x + 4
2x + 4 = 3x
2x + 1 = 3x + 4
Question 2(Multiple Choice Worth 4 points)
(08.01)Two lines, A and B, are represented by the following equations:

Line A: 2x + y = 6
Line B: x + y = 4

Which statement is true about the solution to the set of equations?

It is (2, 2).
There are infinitely many solutions.
It is (4, 0).
There is no solution.
Question 3(Multiple Choice Worth 4 points)
(08.01)Consider the following system of equations:

y = −2x + 3
y = x − 5

Which description best describes the solution to the system of equations?

Lines y = −2x + 3 and y = 3x – 5 intersect the x-axis.
Line y = −2x + 3 intersects line y = x − 5.
Lines y = −2x + 3 and y = 3x − 5 intersect the y-axis.
Line y = −2x + 3 intersects the origin.
Question 4(Multiple Choice Worth 4 points)
(08.01)Consider the following pair of equations:

x + y = −2
y = 2x + 10

If the two equations are graphed, at what point do the lines representing the two equations intersect?

(−4, 2)
(4, 2)
(−2, 4)
(2, 4)
Question 5(Multiple Choice Worth 4 points)
(08.03)Consider the following set of equations:

Equation C: y = 2x + 8
Equation D: y = 2x + 2

Which of the following best describes the solution to the given set of equations?

No solution
One solution
Two solutions
Infinite solutions
Question 6 (Essay Worth 5 points)
(08.01) The graph shows two lines, A and B.

A coordinate plane is shown with two lines, A and B, graphed. Line A has a slope of negative 1 and crosses the y axis at 5. Line B has a slope of positive 1 and crosses the y axis at 3.

How many solutions are there for the pair of equations for lines A and B? Explain your answer.

Question 7 (Essay Worth 5 points)
(08.03) Consider the following pair of equations:

y = 3x + 3
y = x − 1

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.