Systems of Equations

Which point satisfies both equations?

y - x = 2

y + 2x = 2

• (0, 2)

• (2, 0)

• (2, 4)

• (-2, 6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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?

• n + q = 2.35

  .05n + .25q = 15

• n + q = 15

  .5n + .25q = 15

• n + q =15

  .05n + .25q = 2.35

• .05n + q = 15

  n + .25q = 2.35

Tags

CCSS.8.EE.C.8C

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

• The solution is a line.

• The solution is a point.

• There are no solutions.

• There are infinitely many solutions.

Tags

CCSS.8.EE.C.8B

At which point do the graphs of these equations intersect?

4x + 3y = 12

2x - 5y = -20

• (0, 4)

• (4, 0)

• The graphs do not intersect.

• The graphs represent the same line

Tags

CCSS.8.EE.C.8B

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?

• 4 hours

• 5 hours

• 8 hours

• 16 hours

Tags

CCSS.8.EE.C.8C

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?

(HINT: Find the slope between each set of points. What do we know about the slopes of parallel lines?)

• (1, 6) and (-4, 1)

• (2, 3) and (-1, 9)

• (-1, 1) and (-5, 7)

• (1, 2) and (-7, -2)

Tags

CCSS.8.EE.B.6

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

• (0, 6)

• (6, 0)

• (0, 10)

• (10, 0)

Tags

CCSS.8.EE.C.8B

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?

• 
• 
• 
• 

Tags

CCSS.8.EE.C.8C

This is a system of equations.

-2x + y = -8

-x + 2y = -4

How many solutions are there for this system of equations?

• 0

• 1

• 2

• an infinite number

Tags

CCSS.8.EE.C.8B

A system of equations is graphed above. What is the solution to the system of equations?

• (0, -6)

• (-2, -3)

• (-3, -2)

• (-4, 0)

Tags

CCSS.8.EE.C.8B