Math 1 Unit 2 (Linear and Exponential) Review

Before we start the review, how are you feeling about this unit? Take a look through all the notes we've taken for this unit, do you feel ready to take the test?

• Yes, I feel very ready! I feel like I'm going to get an A on the test!

• I feel pretty good! I think I could get at least a B on the test!

• I'm doing alright, I could probably get at least a C on the test.

• I'm not doing super well, I should probably pay extra attention during this review.

Lets start with our exponent rules!

Simplify the given expression:

 $x^4\cdot x^{11}$  

•  $x^{15}$  

•  $x^7$  

•  $x^{-7}$  

•  $x^{44}$  

Exponent rules!

Simplify the given expression:

 $\frac{y^{12}}{y^9}$  

•  $y^{21}$  

•  $y^{108}$  

•  $y^{\frac{12}{9}}$  

•  $y^3$  

Exponent rules!

Simplify the given expression:

 $\left(w^7\right)^3$  

•  $w^{21}$  

•  $w^{10}$  

•  $w^4$  

•  $w^{\frac{7}{3}}$  
  

Challenge Mode: Exponent rules!

Simplify the given expression:

 $\left(5a^3b^5\right)^2$ 

•  $25a^3b^5$ 

•  $5a^6b^5$   

•  $5a^3b^{10}$  

•  $25a^6b^{10}$  

•  $25a^5b^7$  

Let's move on to Linear Functions,

What is the slope and the y-intercept of the given linear function?

 $y=\frac{5}{3}x-4$  

• Slope:  $4$  
  Y-intercept:  $\frac{5}{3}$  

• Slope: $-4$  
  Y-intercept:  $\frac{5}{3}$  

• Slope:  $\frac{5}{3}$  
  Y-intercept:  $-4$  

• Slope:  $\frac{5}{3}$  
  Y-intercept:  $4$  

Linear Functions!

Which of the following best represents the linear function with a slope of  $\frac{1}{2}$  and a y-intercept of  $\left(0,16\right)$ ?

•  $y=16\left(\frac{1}{2}\right)^x$  
  

•  $y=\frac{1}{2}x+16$  
  

•  $y=16x+\frac{1}{2}$  
  

•  $y=\frac{1}{2}\left(16\right)^x$  
  

Linear Functions!

Which of the following best represents the linear function with a slope of  $3$  through the point $\left(12,\ 2.5\right)$ ?

•  $y=3\left(x-12\right)+2.5$  
  

•  $y=3x+12$  
  

•  $y=3x+2.5$  
  

•  $y=3\left(x-2.5\right)+12$  
  

Linear Functions!

Which of the following best represents the linear function given by the graph?

•  $y=5x-2$  
  

•  $y=2x+5$  
  

•  $y=-2x+5$  
  

•  $y=5x+2$  
  

Linear Functions!

Which of the following equations could best represents the linear function given by the graph (there's more than one)?

•  $y=\frac{4}{5}\left(x-10\right)-2$  
  

•  $y=\frac{4}{5}\left(x+2\right)+10$  
  

•  $y=\frac{4}{5}\left(x-15\right)+2$  
  

•  $y=\frac{4}{5}\left(x-2\right)+15$