Unit 2 Assessment Review

Unit 2 Assessment Review

Remember when simplifying a square root, you want to use groups of 2 when you break down your numbers and variables! Look at the example to the right!

Multiple Choice

Simplify:

 $\sqrt{120}$  select the correct answer.

•  $2\sqrt{30}$  

•  $2\sqrt{5}$  

•  $30\sqrt{2}$  

•  $2\sqrt{15}$  

Multiple Choice

Simplify:

 $\sqrt{50x^{12}y^5}$  

•  $5x^6y^2\sqrt{2y}$  

•  $2x^6y^2\sqrt{5y}$  

•  $5y\sqrt{2x^6y^2}$  

•  $5x^{12}y^5\sqrt{2y}$  

Multiple Choice

Simplify:

 $\sqrt{81x^{24}}$  

•  $9x^2$  

•  $9x^{24}$  

•  $9x^{12}$  

•  $81x^{12}$  

Multiple Choice

A square has an area of 45 square feet, what is the length of a side of the square in feet?

• $2025$

• $\sqrt{45}$

• $5\sqrt{3}$

• $3\sqrt{5}$

Cube Roots

Simplifying Cube Roots

Fill in the Blanks

Multiple Choice

Choose the best answer.

• 40

• 20

• 10

• 30

Solving Inequalities

Multiple Choice

Solve:  $2\left(x-5\right)<12$  

•  $x<1$  

•  $x>1$  

•  $x<11$  

•  $x>11$  

Multiple Select

Which value(s) are a part of the solution set for $\frac{1}{2}\left(x-10\right)>x+11$  ? Solve and then select the correct answers.

• -35

• -42

• 0

• -33

• -4

Multiple Choice

Which statement is true about the inequality: $4\left(x+8\right)<3x-11$  

• The inequality is never true

• The inequality is only true for numbers less than -43

• The inequality is true for all values of x

• The inequality is only true for numbers greater than -43

Evaluating an expression

• Replace the variables with their numbers

• Simplify expressions using Pemdas

• Parenthesis

• Exponents

• Multiply and Divide from left to right

• Add and Subtract from left to right

Fill in the Blanks

Translating using a real world problem

Make sure to look for key words.

Multiple Choice

Susie bought a new car for $13,000. Four years later its value was $9,000. The car depreciates using the following linear formula where V is the value of the car, in dollars, after t years.

V = $13,000 - 1,000t

What is the value of the car 7 years after Susie bought it? pick the correct answer.

• $11,000

• $9,000

• $6,000

• $10,000

Multiple Choice

Nasir leased a car by paying a deposit of $700 and a monthly fee of $150. Which expression represents the total amount paid for n months? select the correct answer.

• 700n - 150

• 700n + 150

• 700 + 150n

• 700 - 150n

Multiple Choice

Dierra worked d hours each week. Mustapha wrote the following expression to represent the number of hours she worked each week compared to Dierra.

3d - 4

Which statement BEST explains this expression?

• Dierra worked 4 hours more than 3 times the number Mustapha worked.

• Dierra worked 4 hours less than 3 times the number Mustapha worked.

• Mustapha worked 4 hours more than 3 times the number Dierra worked.

• Mustapha worked 4 hours less than 3 times the number Dierra worked.

Literal Equations

Remember when completing Literal equations.

Identify which letter you are solving for.

Move letters or numbers to left side using the opposite operations!

Multiple Choice

Given:

 $A=\frac{h}{3}\left(b_1+b_2\right)$  
Which equation correctly describes the height, h? select the correct answer

•  $h=\frac{b_1+b_2}{3A}$  

•  $h=\frac{3A}{\left(b_1+b_2\right)}$  

•  $h=\frac{A}{3\left(b_1+b_2\right)}$  

•  $h=\frac{A}{\left(b_1+b_2\right)}$  

Multiple Choice

Find the height, h
Given:

 $V=\frac{1}{4}\pi r^2h$  

•  $h=\frac{\pi r^2}{4V}$  

•  $h=\frac{4V\pi}{r^2}$  

•  $h=\frac{V}{4\pi r^2}$  

•  $h=\frac{4V}{\pi r^2}$  

Domain, Range and Intercepts

• Domain(x) from left to right (remember if left and right end are extended domain is all real numbers)

• Range(y) up or down( if graph goes up range is  

   $y\ge\left(y-value\ at\ bottom\right)$ 

• Range(y) up or down (if graph goes down range is  $y\le\left(y-value\ at\ top\right)$ 

• X-intercept( where graph crosses x -axis (x,0) y is always zero!

• Y intercept (where graph crosses y -axis (0, y) x is always zero!

Multiple Select

What is true about the graph given? check all correct answers.

• The Domain is all real numbers!

• Domain is

  $-2\le x\le3$

• Range $y\ge-2.25$

• The x-intercepts are (-1,0) and (2,0)

• The y-intercept is (-2,0)

Multiple Select

What is true about the graph giving? Select all the correct answers.

• The range is

  $-2\le y\le4$

• The domain is all real numbers

• The domain: $-2\le x\le3$

• The y-intercept is (0, 0.5)

• The x intercept is (0, -0.5)