Question 1

What is the solution to the system of equations

y = 2x + 3

and

y = -x + 5

?

Accepted Answer

(x, y) = (2, 7)

Answer

(x, y) = (0, 3)

Answer

(x, y) = (3, 8)

Answer

(x, y) = (1, 5)

Question 2

Which of the following points is a solution to the system of equations

y = 2x + 3

and

y = -x + 5

?

Accepted Answer

(x, y) = (2, 1)

Answer

(x, y) = (3, 2)

Answer

(x, y) = (1, 0)

Answer

(x, y) = (4, 3)

Question 3

If the system of equations

y = 2x + 3

and

y = -x + 5

is solved graphically, what can be inferred about the lines?

Accepted Answer

The lines are identical.

Answer

The lines intersect at one point.

Answer

The lines are parallel.

Answer

The lines intersect at two points.

Question 4

How many solutions does the system of equations

y = 2x + 3

and

y = -x + 5

have?

Accepted Answer

Infinitely many solutions

Answer

Two solutions

Answer

One solution

Answer

No solution

Question 5

Which method can be used to solve the system of equations

y = 2x + 3

and

y = -x + 5

for the values of

x

and

y

?

Accepted Answer

Substitution or Elimination

Answer

Matrix inversion only

Answer

Trial and error only

Answer

Graphing only

Question 6

What is the value of

y = 2x + 3

in the system of equations

y = -x + 5

and

x

?

Accepted Answer

x = 2

Answer

x = 3

Answer

x = -1

Answer

x = 1

Question 7

What is the value of

y = 2x + 3

in the system of equations

y = -x + 5

and

x

?

Accepted Answer

y = 3

Answer

y = 0

Answer

y = 2

Answer

y = 5

Question 8

What type of solution does the system of equations

y = 2x + 3

and

y = -x + 5

have?

Accepted Answer

Infinitely many solutions

Answer

No solution

Answer

Two solutions

Answer

One solution

Question 9

Which point is the solution to the system of equations

y = 2x + 3

and

y = -x + 5

?

Accepted Answer

(x, y) = (1.5, 0.5)

Answer

(x, y) = (2, 1)

Answer

(x, y) = (0, -4)

Answer

(x, y) = (-1, 3)

Question 10

What is the solution to the system of equations

y = 2x + 3

and

y = -x + 5

?

Accepted Answer

Infinitely many solutions

Answer

Two solutions

Answer

One solution

Answer

No solution

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