3rd 9 Weeks Post Test

Tell if each system of equations has one solution, no solution, or infinitely many solutions. The equation 3x + 7 = 3x+14 has _________.

• infinitely many solutions

• one solution

• no solution

• exactly two solutions

Tell if each system of equations has one solution, no solution, or infinitely many solutions. The equation 22x + 11 = 4x - 7 has _________.

• one solution

• no solution

• infinitely many solutions

• cannot be determined

Tell if each system of equations has one solution, no solution, or infinitely many solutions. The equation 3(x + 2) = 3x + 6 has _________.

• infinitely many solutions

• one solution

• no solution

• cannot be determined

The solution to a system of equations is (−2, 3).
Student A says the system could be the pair of equations shown.
y = 6x + 3
y = −2x + 3
Student B says the system could be the equations of the lines shown. Which statement is correct?

• Student A is correct because substituting x = -2 into both equations gives y = 3. Student B is incorrect because the lines shown do not intersect at (−2, 3).

• Student A is incorrect because the equations do not intersect at (−2, 3). Student B is correct because the lines shown intersect at (−2, 3).

• Both Student A and Student B are correct.

• Both Student A and Student B are incorrect.

In which set of ordered pairs, (x, y), is y NOT a function of x?

• {(4, 3), (3, 4)}

• {(4, 3), (7, 3)}

• {(7, 4), (4, 7), (4, 3)}

• {(7, 7), (4, 4), (3, 3)}

Concert tickets can be bought online for 15 per ticket plus a one−time $3 service fee.
The equation C=15n+3 can be used to determine C, the total cost for n tickets. What is the total cost for 7 tickets?

• $108

• $105

• $93

• $120

Which statement best describes the behavior of the graph of 3x - 4y = 8?

• The graph is a vertical line.

• The graph is a horizontal line.

• The graph is rising as x increases.

• The graph is falling as x increases.

A car travels 180 miles in 3 hours. What is the unit rate of miles per hour?

• 60 miles per hour

• 30 miles per hour

• 90 miles per hour

• 45 miles per hour

If x=4, find the value of: 3x+5

• 17

• 12

• 15

• 19

If a=3 and b=5, find the value of: 2a+4b-6

• 16

• 18

• 20

• 12