Question 1(Multiple Choice Worth 2 points)
(Systems of Linear Equations LC)
How many solutions does the system of linear equations represented in the graph have?
Coordinate plane with one line that passes through the points negative 2 comma negative 5 and 0 comma negative 4 and another line that passes through the points 0 comma 1 and 1 comma negative 1.
One solution at (2, −3)
One solution at (−3, 2)
No solution
Infinitely many solutions
Question 2(Multiple Choice Worth 2 points)
(Systems of Linear Equations MC)
A customer at a shipping store is planning to send a package and is considering two options. The customer can send a package for $3, plus an additional $2 per pound. The cost, y, can be represented by the equation y = 3 + 2x, where x represents the amount of pounds of the package. Another option is that the customer can pay a one-time fee of $17 to send the box, represented by the equation y = 17.
Based on the graph of the system of equations, when will the cost of the two shipping options be the same?
A package that weighs 10 pounds will cost $17 for both options.
A package that weighs 7 pounds will cost $17 for both options.
A package that weighs 17 pounds will cost $31 for both options.
A package that weighs 17pounds will cost $37 for both options.
Question 3(Multiple Choice Worth 2 points)
(Systems of Linear Equations MC)
Which point is a solution to the system of linear equations?
y = −x + 1
3x − y = 3
three halves comma negative one half
(1, 0)
negative one half comma three halves
(0, 1)
Question 4(Multiple Choice Worth 2 points)
(Systems of Linear Equations LC)
How many solutions does the system of linear equations represented in the graph have?
Coordinate plane with one line that passes through the points 0 comma negative 1 and 1 comma negative 3.
One solution at (−1, 0)
One solution at (0, −1)
No solution
Infinitely many solutions
Question 5(Multiple Choice Worth 2 points)
(Systems of Linear Equations MC)
Solve the system of linear equations by graphing.
y equals negative one half times x plus 3
y equals one half times x minus 2
one half comma negative 5
one half comma 5
5 comma one half
negative 5 comma one half
Question 6(Multiple Choice Worth 2 points)
(Systems of Linear Equations MC)
Which graph shows the solution to the system of linear equations?
y = 2x − 2
4x − 2y = 4
Coordinate plane with one line that passes through the points 0 comma negative 2 and 1 comma 0.
Coordinate plane with one line that passes through the points 0 comma negative 1 and 1 comma 1 and another line that passes through the points 0 comma negative 2 and 1 comma 0.
Coordinate plane with one line that passes through the points 0 comma 1 and 1 comma 2.
Coordinate plane with one line that passes through the points 0 comma negative 2 and 1 comma 0 and another line that passes through the points 0 comma 1 and 1 comma 2.
Question 7(Multiple Choice Worth 2 points)
(Systems of Linear Equations LC)
How many solutions does the system of linear equations represented in the graph have?
Coordinate plane with one line that passes through the points 0 comma 3 and 3 comma 4 and another line that passes through the points 0 comma negative 2 and 3 comma negative 1.
One solution at (−2, 0)
One solution at (0, −2)
No solution
Infinitely many solutions
