Unit 4 Algebra Review

Which best defines 4^2/3 ?

• square root of 16

• cube root of 4

• square root of 4

• cube root of 16

Tags

CCSS.8.EE.A.2

Simplify

 $\left(\sqrt{2}\right)\left(2^{\frac{1}{3}}\right)$  

•  $2^{\frac{1}{6}}$  

•  $2^{\frac{2}{3}}$  

•  $2^{\frac{5}{6}}$  

•  $2^{\frac{7}{6}}$  

Which statement is true about the expression?

 $\sqrt{50}+\sqrt{2}$  

• It is irrational and equal to  $2\sqrt{13}$  

• It is irrational and equal to  $6\sqrt{2}$  

• It is rational and equal to 2

• It is rational and equal to 6

Tags

CCSS.8.NS.A.2

Which of the following is an equivalent function to the function below, check all that apply.

 $f\left(x\right)=30\left(1.03\right)^{3x}$  

•  $f\left(x\right)=30\left(3.0900\right)^x$  

•  $f\left(x\right)=30\left(1.0927\right)^x$  

•  $f\left(x\right)=10\left(1.0927\right)^x$  

•  $f\left(x\right)=10\left(3.0900\right)^x$  

Tags

CCSS.HSF.LE.A.2

Victor is enlarging a poster for a school baseball match. The graph below shows the size y of the poster after x enlargements. What does the y-intercept of the graph represent?

• final size of the picture

• number of enlargements

• original size of the picture

• rate at which the size of the picture increases

Tags

CCSS.HSF.LE.B.5

In the month of October, the population of a species of fish in a river increased by a factor of 1.05 every day. The function below shows the number of fish in the river f(x) after x days:

f(x) = 100(1.05)^x

Which of the following is a reasonable domain for the function?

• $0\le x\le100$

• $0\le x\le31$

• All positive integers greater than 100

• All positive integers less than 100

Which function has all real numbers as its domain?

• Only f(x) the red graph

• Both g(x) and p(x) the blue and green graphs

• Both f(x) and g(x) the red and green graphs

• Only p(x) the green graph

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the product of

 $\left(7\sqrt{8}\right)\left(4\sqrt{5}\right)$  

•  $28\sqrt{10}$  

•  $56\sqrt{2}$  

•  $56\sqrt{10}$  

•  $280\sqrt{4}$  

Find the average rate of change from x = 10 to x = 17 for the function f(x) = 0.01(2)^x

• 10.24

• 185.75

• 1300.48

• 1310.72

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Meg initially has 3 hours of pop music and 2 hours of classical music in her collection. Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. Her classical music does not change. Which function shows the total hours of music she will have in her collection after x months?

• f(x) = 2(0.05)^x + 3

• f(x) = 3(0.05)^x + 2

• f(x) = 2(1.05)^x + 3

• f(x) = 3(1.05)^x + 2

Tags

CCSS.HSF.LE.A.2