Review for Test on Chapter 1

Review for Test on Chapter 1

Rational or Irrational Numbers 

• rational numbers: fractions, nonterminating/nonrepeating decimals, square roots of perfect squares 

• irrational numbers: decimals that never end and never repeat, square roots that aren't perfect squares.

Multiple Choice

 $3\sqrt{16}$  

Rational or Irrational? 

• rational 

• irrational

Multiple Choice

 $3.14159......$  

Rational or Irrational? 

• rational 

• irrational

Multiple Choice

 $\frac{3}{5}$  

Rational or Irrational? 

• rational 

• irrational

Multiple Choice

 $-2.54$  

Rational or Irrational? 

• rational 

• irrational

Be sure to complete the operations and show all the work

Open Ended

 $5\ -\ \left(2\ +\ 1\right)^2\ -\ 12\div4$  

Open Ended

 $15\div4\ -\ 3\left(2\right)^2\ +\ 8\ -\left(7+3\right)$  

Open Ended

 $\frac{\left(3-7\right)^2+2}{3^2-2^2}$   

• expressions - no equal sign

• equations - equal sign

• inequalities -

   $<,>,\le,\ge$  

Multiple Choice

 $2x\ -\ 15\ +\ 13y\$  

• Expression

• Equation

• Inequality

Multiple Choice

 $2\ <\ 7$  

• Expression

• Equation

• Inequality

Multiple Choice

4 = 1.3x + 15

• Expression

• Equation

• Inequality

Coefficient

number mulitplied by a variable

example: 3x - 3 is the coefficient

Term

variables, numbers or combination of variables and numbers joined by addition or subtraction

3x - 2y + 12 is an expression with three terms.

Constant

an number that never changes

3x - 12 : 12 is the constant

Variable

a letter that can represent any number

Open Ended

 $3x\ -\ 12y\ +\ 16\ =\ 15z$  
How many coefficients are in the equation? 

Open Ended

 $3x\ -\ 12y\ +\ 16\ =\ 15z$  
How many terms are in the equation? 

Open Ended

 $3x\ -\ 12y\ +\ 16\ =\ 15z$  
What is the constant in the equation?  

Open Ended

 $3x\ -\ 12y\ +\ 16\ =\ 15z$  
How many variables are in the equation. 

Open Ended

Evaluate  $x^2\ -\ y^2\ +\ 3xy$  when x = -3 and y = 5

Open Ended

Evaluate  $\frac{4x\ -3y\ +\ x^2}{\left(x\ -\ y\right)^2\ }$  when x = -4 and y = 2

Open Ended

 $4\left(1\right)\ +\ 8\$  

 $4\ +\ 8$  

12

Name the property used to simplify step one

Open Ended

 $12\ +\ 8\ \ +\ \left(-8\ \right)$  

 $12\ +\ 0\$  


     12

Name the property used to simplify step one

Open Ended

 $12\ +\ 8\ \ +\ \left(-8\ \right)$  

 $12\ +\ 0\$  


     12

Name the property used to simplify step two

Open Ended

 $\left(8\ +\ 7\right)\ +\ 12\ =\ 12\ +\ \left(8\ +\ 7\right)$  

Name the property makes this statement true?

Open Ended

Write the algebra expression for:

Six less than twice a number

Open Ended

Write the algebra expression for:

Nine times a number decreased by four

Open Ended

Write the algebra expression for:

The quotient of 40 and the product of a number and -8

Open Ended

Write the algebra expression for:

7 less than 5 times a number

Open Ended

Write the algebra expression for:

Five times the sum of a number and -23