REI.1- Equations and Inequalities

What is the first step to solve this equation: $-3x-11=44$  

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

Solve for x:

 $2x-1(3+4x)=11$  

•  $x=-4$  
  

•  $x=\frac{7}{3}$  

•  $x=-7$  
  

•  $x=\frac{-17}{8}$  
  

 $-2\left(x+7\right)\le-8$  

•  $x\le3$  

•  $x\ge3$  

•  $x\ge-3$  

•  $x\le-3$  

What happens to the symbol when you multiply or divide an inequality by a negative number?

• It stays the same

• It has to flip

Which property is shown below?
__________________________
7n = 21 then n = 3

• Division Property
• Sorcery
• Reduction of Multiples
• Distributive Property

If 2x - 5 = 10, then 2x = 15.

• Subtraction Property of Equality
• Addition Property of Equality
• Division Property of Equality
• Substitution

 If 3x + 4x - 5 = 10, then 7x - 5 = 10

• Addition Property of Equality
• CLT or Simplify
• Subtraction Property of Equality
• Transitive Property of Equality

Which property is shown below?
__________________________
4(x+6) = 4x + 4(6)

• Reflexive
• Distributive
• Transitive
• Substitution

Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  Which equation matches this situation?

• 50 + 20m = 290
• 20 + 50m = 290
• 50 + 20 = m
• 50m - 20 = 290

Terry had his car repaired at Ace Auto.  He was charged $50 per hour of labor plus $150 for parts.  His total bill for the repair before tax was $375.  How many hours of labor was Terry charged for?

• 2.5 hours
• 4.5 hours
• 7.5 hours
• 10.5 hours