Int II Term 2 Final Exam

Write the decimal as a fraction and simplify completely.

2.036

• $2\ \frac{36}{100}$

• $2\ \frac{36}{1000}$

• $2\ \frac{9}{250}$

• $2\ \frac{3}{6}$

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

•  $-\frac{3^4}{7}$  

•  $-\frac{81}{625}$  

•  $\frac{81}{625}$  

•  $-\frac{12}{20}$  

Evaluate the expression assuming that x=-2, y=3, and z=-4
 $\left(x-y\right)^4+z$  

• 621

• 629

• -629

• -29

Simplify using the laws of exponents
 $\frac{-45x^9}{5x^3}$  

•  $-9x^6$  

•  $-9x^3$  

•  $-50x^6$  

•  $-40x^6$  

Simplify using the laws of exponents  $\left(-4x^3y^5z\right)^6$  

•  $-24x^9y^{11}z^6$ 

•  $4096x^{18}y^{30}z^6$  

•  $-4096x^{18}y^{30}z^6$  

•  $24x^{18}y^{30}z^6$  

Simplify and write your answer using only positive exponents:
 $3^0g^{-4}h^{-3}g^6h$  

•  $3g^2h^2$  

•  $\frac{3g^2}{h^2}$  

•  $g^2h^{-2}$  

•  $\frac{g^2}{h^2}$  

Is  $\sqrt{26}$  rational or irrational? Explain your reasoning.

• Rational because it is a decimal.

• Rational because it ends or repeats.

• Irrational because it goes on forever without repeating.

• Irrational because it can be written as a fraction.

Simplify completely and leave in radical form.
 $\sqrt{72x^4y^3}$  

•  $6x\sqrt{2y^3}$  

•  $6x^2y\sqrt{2y}$  

•  $36x^2y\sqrt{y}$  

•  $2x^2y\sqrt{6y}$  

Simplify the expression
 $5x^2-8x+6-2x$  

•  $5x^2-10x+6$  

•  $5x^2+10x+6$  

•  $-5x^3+6$  

•  $5x^2-6x+6$  

Simplify the expression
 $4x\left(2x-5\right)-6\left(x-2\right)+7$  

•  $-18x+19$  

•  $8x^2-26x+19$  

•  $8x^2-14x-5$  

•  $8x^2-6x-1$