Systems of Equations Review

The graph of a system of linear equations is shown.

What is the solution to the system?

• (1,4)

• (-1,2)

• (2,-1)

• (3,4)

Tags

CCSS.8.EE.C.8B

Write the slope-intercept form of the line shown in the graph.

A system of equations is shown: x = -2 and 7x + 2y = -10.

In the system of equations, what is the value of y?

NOTES: page 8, #1, is a similar problem

• A. 1

• B. -1

• C. 0

• D. 2

Tags

CCSS.HSA.REI.C.9

Consider the system of equations:

y = -2x - 5

x + 5y = -16

What is the solution to the system?

NOTES: page 11, #3, is a similar problem

• A. (-2, 1)

• B. (4, -1)

• C. (-1, -3)

• D. (5, 1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution of the system of equations shown below?

x + 3y = 13

x - 3y = -17

NOTES: page 12, #1, is a similar problem

• A. (0,5)

• B. (-2,5)

• C. (-14,9)

• D. (1,6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Select two statements about the system of equations that are true.

• The system of equations has one solution.

• The two linear functions have the same rates of change.

• The system of equations has no solutions.

• The two linear functions have different rates of change.

• The system of equations has infinite solutions.

Tags

CCSS.8.EE.C.8B

Two lines are graphed on the same coordinate plane. The lines intersect at the point (0,0). Which of these systems of linear equations could represent the two lines?

NOTES: page 2, #1 Part c, is a similar problem that shows how to "check" if a point works for two equations

• 3x + 3y = 9

  y = -6x - 9

• 5x + 1y = -13

  5x - 4y = 13

• -x - 4y = -4

  x + 2y = 4

• y = -3x

  2x - 5y = 0

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Two equations of a system are listed.

-4x + 6y = 11

y = 2x - 3

Which is a useful first step for solving the system?

• A. Substitute 2x from the second equation in for -4x in the first equation.

• B. Substitute 6y from the first equation in for 2x in the second equation.

• C. Substitute (2x - 3) from the second equation for y in the first equation.

• D. Substitute (-4x+6y) from the first equation for y in the second equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which statement describes the solution(s) to the system of equations:

-2x - 1y = 4 and -6x - 3y = 12?

REMEMBER

One solution: (x,y)

No solution: 5 = 4 (false statement)

Infinitely Many solutions: -3 = -3 (true statement)

• A. The system has a solution of (1,2).

• B. The system has a solution of (2,-4).

• C. The system has infinitely many solutions.

• D. The system has no solution.

Tags

CCSS.8.EE.C.8B

What is the solution to the system of equations?

y = 3x - 8

6x - 2y = -16

REMEMBER

One solution: (x,y)

No solution: 5 = 4 (false statement)

Infinitely Many solutions: -3 = -3 (true statement)

• (0,-5)

• (0,5)

• Infinitely many solutions

• No solution

Tags

CCSS.8.EE.C.8B