Semester Exam Review Part 1

Semester Exam Review Part 1

In this lesson we will cover the topics from Chapter 0 and Chapter 1

Integer Division with 0

• If 0 is the numerator (top number) of a fraction the result will always be 0

• If 0 is the denominator (bottom number) of a fraction the result will always undefined

Multiple Choice

What is the result of the following division?

 $\frac{0}{10}$  

• 0

• Undefined

• 10

• -10

Multiple Choice

What is the result of the following division?

 $-\frac{3}{0}$  

• 0

• Undefined

• -3

• 3

Adding or Subtracting Fractions

• In order to add or subtract fraction, the denominator must be the same

• Find the least common multiple for the denominator

• Multiply the fractions to the LCM

• Then add or subtract the numerator, while the denominator remains the same

Multiple Choice

Subtract and fully simplify.

 $\frac{3}{10}-\frac{4}{25}$  

• 1/15

• 1/50

• -1/50

• 7/50

Order of Operations

• PEMDAS

• Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction

• Multiplication and Division are determined by the order of their appearance

• Addition and Subtraction are determined by the order of their appearance

Multiple Choice

Use the order of operations to simplify.

 $4\left(-2\right)-3\left(-10\right)$  

• 38

• 22

• -38

• 14

Multiple Choice

Use order of operation to simplify.

 $5\left(-2\right)^2-4\left(-3\right)^{2\ }$  

• -16

• 20

• -56

• 44

Negative Integers and Exponents

• When multiplying a negative number in parenthesis with an exponent remember the negative gets multiplied

• When multiplying a negative number NOT in parenthesis with an exponent remember the negative does NOT get multiplied. It is added at the end.

Multiple Choice

Evaluate each exponential expression.

 $\left(-4\right)^2$  

• 16

• -16

• 8

• -8

Multiple Choice

Evaluate each exponential expression.

 $-4^{2\ }$  

• 16

• -16

• 8

• -8

Evaluating Algebraic Expressions

• When given an Algebraic Expression and a value, substitute the value for the given variable

• Follow PEMDAS when evaluating expression

Multiple Choice

Evaluate the following algebraic expression.

 $6+2\left(x-5\right)^3\ for\ x\ =\ 8$  

• 60

• 48

• 54

• 12

Simplify Expressions

• Remember to combine like terms

• Variables with variables

• Numbers with numbers

Multiple Choice

Simplify the following expression.

 $10x-7-10x-5=$  

• -2

• 2

• -9

• -12

Solving 1-Step Equations

• Move the number to the right side of the equation

• Moving a number can be done by canceling out a number

• Add if negative

• Subtract if positive

Multiple Choice

Solve the equation for x.

 $x+3=9$  

• x = 12

• x = 4

• x = 6

• x = -1

Solving 2-Step Equations

• Move numbers to the right

• Move Variables to the left

• Divide by number in front of x

• 
  

Multiple Choice

Solve the equation for x.

 $7-3x=19$  

• x = 13

• x = -12

• x = -4

• x = 8

Solving Equations in Fractions

• Fractions must have the same denominator

• Multiply fractions to have the same denominator

• If a term is not in the form of a fraction, assume it is over 1

• Combine Terms

• Solve the TOP

Multiple Choice

 $\frac{4x}{7}=\frac{3x}{8}-11$  

Solve the equation for x:

• x = -12

• x = -56

• x = 23

• x = 87

Multiple Choice

 $\frac{3x}{4}-\frac{x+2}{2}=\frac{x-3}{2}$  

Solve the equation for x:

• x = -1

• x = 3

• x = -4

• x = 2

Solving Literal Equations

• Focus on the variable to solve.

• Isolate variable to one side, by moving terms without desired variable

• Cancel everything out until variable is only remaining.

Multiple Choice

Solve for  $l$  in the following equation.

 $A=2lw+2lh+2wh$  

•  $l=\frac{2wh+A}{2wh}$  

•  $l=\frac{A-2wh}{2w+2h}$  

•  $l=A+w+h$  

•  $l=\frac{A-2wh}{2wh}$  

Multiple Choice

 $R=S+TS$  

Solve for T

•  $T=R-S$  

•  $T=\frac{R}{2S}$  

•  $T=\frac{R}{S}$  

•  $T=\frac{R-S}{S}$