Real Numbers Review

Match the following terms to the definition.

• Same variable and exponent.

• Like Terms

• To find a value(s) we can put in place of a variable that makes the equation/inequality true.

• Solve

• Apply math properties to make an expression as small as possible.

• Evaluate

• To calculate the value of. In algebra, we may have to substitute and simplify.

• Simplify

Match the following.

• A non-repeating, non-terminating decimal.

• Equation

• Numbers, symbols and operators grouped together that show the value of something

• Expression

• A distance from zero. Thus ALWAYS positive when evaluated.

• Rational Number

• A statement that the values of two mathematical expressions are equal

• Irrational Number

• A number that can be written as a fraction of two NON-Zero integers.

• Absolute Value

Answer explanation

Find and explain the error.    
 5 - 3 + 2
     5 - 5
        0

• There is no error.
• Addition was done first and you should have subtracted first
• There is a subtraction error

 $Evaluate:\ \ \ \ \ -7\cdot\ 4\ -\ \left(-1\right)$  

 $Evaluate:\ \ \ \ \left(8\ +\ 5^2\right)\ +3$  

Answer explanation

Order of operations:  Work inside Parenthesis first!  PEMDAS or GEMA

 $7\cdot7\cdot7\cdot7\cdot7$  Rewrite using an exponent

•  $7^5$  

•  $5^7$  

•  $35^5$  

•  $7^7$  

 $Simplify:\ \ \ \ -27\cdot\left(\frac{8}{3}\right)$  

Which expression has the greatest value?

•  $\left|-9+7\right|$  

•  $\left|-9\right|+7$  

•  $-9\ +\left|7\right|$  

• They all have the same value.

Select all the rational numbers

• $-4$

• $\sqrt{16}$

• $\pi$

• $\frac{4}{3}$

• $\sqrt{7}$