3rd 9 Weeks Final Review

A system of equations is shown below. Which sequence of operations would produce the correct x or y value of the solution to this system of equations?

• Multiply the second equation by 2 and add the result to the first equation to eliminate y and solve for x.
• Multiply the first equation by -3 and add the result to the second equation to eliminate x and solve for y.
• Multiply the first equation by -2/3 and add the result to the second equation to eliminate the constant and solve for x and y.
• multiply the second equation with -2 and add the result to the first equation to eliminate y and solve for x.

A system of equations is graphed in the coordinate plane. What is the x- value for the solution to the system of equations?

The graph below show the cost of two mobile planes. The x axis represents the number of minutes used and the y axis represents the cost in dollars. Approximately at how many minutes must a customer call in each plan for the cost to be the same?

• 4 minutes
• 1 minute
• 3 minutes
• 10 minutes

A system of linear equations is graphed below. Which coordinate point represents the solution?

• (4, 5)
• (0, 4)
• (4, 0)
• (8, 10)

Two numbers have a difference of 12 and a sum of 66. Which system of equations can be used to determine x and y, the two numbers?

• 
• 
• 
• 

Abigail graphs the two equations below on the same coordinate plane. y = −2x−6 y = 3x−1 At what point do the graphs of the equations intersect ?

• (-1, -4)

• (-1, 4)

• (1, -4)

• (1, 4)

Hector paid $8.50 to buy 2 large sodas and 1 hamburger. Jordan paid $27.00 to buy 4 large sodas and 4 hamburgers. If both people paid the same price per item, what was the price of a hamburger?

• $1.75
• $4.25
• $5.00
• $6.75

If the point (7, -3) is reflected over the x-axis of the coordinate plane, what are the corresponding coordinates of the reflected point?

• (7, 3)
• (-7, -3)
• (-7, 3)
• (-3, 7)

The Point (4, -1) is translated to the left 3 units. What are the new coordinates?

• (7, −1)
• (4, 4)
• (4, −4 )
• (1, −1)

If two angles are congruent, then

• the sum of the two angles is 270°
• the sum of the two angles is 360°
• the two angles are both obtuse.
• the two angles have equal measures.