Graphing Systems of Equations and Inequalities

Graphing Systems of Equations and Inequalities

Multiple Choice

Give the solution to the system.

• (3,1)
• (1,3)
• (-1,3)
• (1, -3)

Multiple Choice

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

Multiple Choice

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

Y-Intercept

X-Intercept

Standard Form: Ax+By=C

Multiple Choice

Solve the system.
 
5x + 4y= −14
y =  −7x  −  15 

• (-2, -1)
• (1, -2)
• (-2, 1)
• (-1, -2)

​4x+8y=24

​-4x-2y=-12

This is for the next problem.

Multiple Choice

-4x-2y=-12
4x+8y=-24

• (5,6)
• (6,-6)
• (6,-2)
• (4,-3)

Multiple Choice

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Multiple Choice

What is the value of the y-coordinate of the solution to the system of equations 
x-2y=1
x+4y=7 

• 1
• -1
• 3
• 4

Multiple Choice

Which point below is NOT part of the solution set?

• (0, 0)
• (5, 1)
• (-1, -3)
• (20, -5)

Multiple Choice

Is (-1,0) a solution to the system?

• Solution
• Not a solution

Hotspot

Which points are solutions to the system on the graph?

Select 2 correct answers.

Multiple Choice

Match the system to the graph (solution set is on the left)

• y ≤ 3x   and  y ≤ -2x + 4

• y > 3x   and  y > -2x + 4
• y < 3x   and  y > -2x + 3
• y > 3x   and   y < -2x + 4

Multiple Choice

Which system of inequalities is shown?

• y ≥ -x - 1
  y < x + 4
• y < -x - 1
   y ≥ x + 4
• y > -x - 1
  y ≥ x + 4
• y > -x - 1
  y ≥ x + 3

Multiple Choice

• A
• B
• C
• D

Multiple Choice

Which system of inequality is shown?

• y ≥ -x - 1
  y < x + 4
• y < -x - 1
   y ≥ x + 4
• y > -x - 1
  y ≥ x + 4
• y = -x - 1
  y ≥ x + 4

Multiple Choice

Which system of inequality is shown?

• y < x−2 
  y < 3
• y > -x+2
  y > 3
• y < -x+2
  y < 3
• y < -x+2
  y > 3

Multiple Choice

Which is the graph of the system of inequalities?

Multiple Choice

Match the system with the correct graph. $$8x\ +4y\ge10\ and\ 3x-6y>12$$