Equations and Inequalities Retest

Solve for x:
5x - 14 = 8x + 4

• x = 6
• x = -6
• x = -18/13
• x = 10/3

Solve the equation
4x - 5x + 9 =5x - 9

• x = -3
• x = 9
• x = 3
• x = -9

Solve:
5y+34 = -2(-7y+1)

• y = -4
• y = 9
• y = 4
• y = 36/19

Solve: 2(4x - 3) - 8 = 4 + 2x

• 5/3
• 3
• 1
• 2

-(8n - 2) = 3 + 10(1 - 3n)

• n = 1/2
• n = -1/2
• n = 2

Solve:

3(x − 2) = 3x − 6

• x = 6

• x = -6

• infinitely many solutions

• no solutions

Solve:

6(y + 4) = 6y + 10

• y = 10

• y = 24

• infinitely many solutions

• no solutions

What does it mean when an equation has infinitely many solutions?

• "To infinity and beyond"

• the equation is always TRUE when any value is substituted in for the variable

• the equation will NEVER be true when any value is substituted in for the variable

• only ONE solution will make the equation true