Systems of Equations

Front

Which point satisfies both equations?
y - x = 2
y + 2x = 2
Options: (0, 2), (2, 0), (2, 4), (-2, 6)

Back

(0, 2)

Front

A jar contains only nickels and quarters. The total number of coins in the jar is 15. The total value of the coins is $2.35. Which system of equations represents this situation?

Back

n + q = 15, .05n + .25q = 2.35

Front

The graphs of two equations are shown. Which statement is true about the solution of this system of equations?

Back

There are no solutions.

Front

At which point do the graphs of these equations intersect?

4x + 3y = 12

2x - 5y = -20

Back

(0, 4)

Front

The cost for renting kayaks at Company A is c = 5h + 20. The cost for renting at Company B is c = 7h + 12. What is the number of rental hours for which the cost will be the same for both companies? Options:

4 hours

,

5 hours

,

8 hours

,

16 hours

Back

4 hours

Front

Line m passes through the points (0, -1) and (-3, 5). Which pair of coordinates is on a line that is parallel to line m? Options:

(1, 6) and (-4, 1)

,

(2, 3) and (-1, 9)

,

(-1, 1) and (-5, 7)

,

(1, 2) and (-7, -2)

Back

(2, 3) and (-1, 9)

Front

Which ordered pair represents the solution to the equations shown in the graph? Options:

(0, 6)

,

(6, 0)

,

(0, 10)

,

(10, 0)

Back

(6, 0)

Front

Jan has $100 in her bank account. She adds $15 to her account each month. Maura had $130 in her bank account. She adds $10 to her account each month. A system of equations is used to find how many monthly deposits will be needed for the accounts to have equal balances. Which graph correctly depicts this system of equations and its solution?

Back

Front

This is a system of equations.

-2x + y = -8

-x + 2y = -4

How many solutions are there for this system of equations?

Back

1

Front

A system of equations is graphed above. What is the solution to the system of equations? Options: (0, -6), (-2, -3), (-3, -2), (-4, 0)

Back

(-2, -3)