Math 8 Fall 2020 Final Exam Review

Math 8 Fall 2020 Final Exam Review

Solving Equations

Remember to get all the variables to one side and constants to the other

Keep track of those NEGATIVES!

Multiple Choice

In solving the following equation, what would be the first step?

 $4\left(5-x\right)=3x-2-5x$  

• Distribute 4 to 5 - x

• Divide by 4

• Add 5x to both sides

• Add 2 to both sides

Multiple Choice

In solving the following equation, what would be the second step?

 $4\left(5-x\right)=3x-2-5x$  

• Distribute 4 to 5 - x

• Divide by 4

• Combine like terms 3x - 5x to get -2x

• Add 2 to both sides

Multiple Select

Choose all the equations equivalent to:

 $4\left(5-x\right)=3x-2-5x$  

•  $20-4x=-2-2x$  

•  $20-x=-2x-2$ 

•  $22=2x$  

•  $20-4x=-2x-2$  

Multiple Choice

Which of the following equations have no solution?

• $x+1=0$

• $2x=2x$

• $2x-1=2x+1$

• $2x+1=-2x+1$

Exponent Properties

You don't need to know the names, just how to use them!

Multiple Select

Which of the following expressions are equivalent to 36?

• $6^2$

• $\frac{1}{6^2}$

• $\frac{1}{6^{-2}}$

• $2^2\cdot3^2$

• $\frac{2^5\cdot3^4}{2^2\cdot3^2}$

Multiple Choice

The equation

 $x^2=16$  
has ________ solution(s) because ________.

• 1; 4*4 = 16

• 1; there can only be one solution to equations

• 2; both positive and negative 4 times itself equals positive 16

• 2; there are always two solutions to all equations

Remember the difference between square and cube roots!

Multiple Select

Why is √2 an irrational number?

• It cannot be written as a ratio

• It's decimal is non-terminating and never ending

• It's a square root

• It's under the radical

Irrational Numbers

• Cannot be written as ratios

• pi (π)

• non-perfect square roots

Multiple Choice

Which two integers does √24 fall between?

• 3 and 4

• 4 and 5

• 5 and 6

• 6 and 7

Multiple Choice

What is the closest whole number approximation for √24?

• 4

• 5

• 6

Multiple Choice

Place the following in order from least to greatest:

 $\sqrt{10},\ 3.1,\ 3.11......$  

•  $\sqrt{10},\ 3.11....,\ 3.1$  

•  $3.1,\ 3.11....,\ \sqrt{10}$  

•  $3.11.....,\ 3.1,\ \sqrt{10}$  

Scientific Notation

Move left -- ADD to exponent

Move right -- SUBTRACT from exponent

Scientific Notation

Move left -- ADD to exponent

Move right -- SUBTRACT from exponent

Need SAME exponent to add or subtract

Multiple Choice

 $\left(3.1\times10^5\right)\cdot\left(6\times10^3\right)$  

Evaluate.

•  $18.6\times10^8$  

•  $1.86\times10^9$  

•  $1.86\times10^8$  

Multiple Choice

 $4.5\ +\left(3\times10^2\right)$  

Evaluate.

•  $3.045\times10^2$  

•  $304.5\times10^0$