Solve Equations and Inequalities

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

Solve:
-4x - 5y - z = 18
-2x - 5y - 2z = 12
-2x + 5y + 2z = 4

• (4, 0, -2)

• (-4, 0, -2)

• Many Solutions

• I did not get any of the answers above so I am assuming none of the above.

Solve:
5a + 5b + 5c = -20
4a + 3b + 3c = -6
-4a + 3b + 3c = 9

• (4, 2, -1)

• No Solution

• Many Solutions

• I didn't get any of those answers so I am assuming none of the above.

Solve the system of equations: 

• ( -2, 1, -3)

• ( 2, 3, -1)

• No solution

• None of these

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

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2

• y < 2x - 4
  y < 2

• y > 2x - 4
  y <  2 

• y < 2x - 4
  y <   -2

Which point below is NOT part of the solution set?

• (0, 0)

• (5, 1)

• (-1, -3)

• (20, -5)

Find the solution:
y = x² - 4x + 6
y = x + 2

• (3, 1) and (6, 4)

• (-1, 1) and (4, 2)

• (1, 3) and (4, 6)

• (1, 4) and (3, 6)

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8

• x ≥ 18

• x ≤ 8 

• x ≤ 18 

Which number line shows all the values of x that makes the inequality true?

• a

• b

• c

• d