Section 1 - Expressions Practice

Section 1 - Expressions Practice

Multiple Choice

It costs $0.50 per game to play a certain arcade game. If you play the game q times, which expression represents much money must you pay?

• 0.50 + q

• 0.50q

• q - 0.50

• 0.50 ÷ q

Multiple Choice

A charm bracelet costs $20 for the bracelet and $2 for each charm. Which expression represents the cost of a bracelet with c charms?

• 20c + 2

• 2c + 20

• 22c

• 22

Multiple Choice

Evaluate when a = 15:

2(a - 5) + 2

• 22

• 27

• 14

• 7

Multiple Choice

Shawntay simplifies $\frac{4^m\cdot4^5}{4^n}$  to  $4^{\left(m-n+5\right)}.$  

Thomasina simplifies the same expression but gets a different answer,  $4^{m\left(n-5\right)}$  .

Who is correct?

• Shawntay is correct.

• Thomasina is correct.

• Both of them have equivalent expressions. 

• Neither Shawntay or Thomasina is correct. 

Multiple Choice

Simplify the exponent expression.

Multiple Choice

Simplify the expression shown. Your answer should contain only positive exponents.

• -a¹²b¹²

• -a⁷b⁷

• a⁷b⁷

• a¹²b¹²

Multiple Choice

Simplify the expression shown. Your answer should contain only positive exponents.

• -24x⁴y⁶

• 12x⁴y⁵

• -24x⁴y²⁴

• -3x⁴y²

Multiple Choice

• $27t^{10}v^2s^{21}$

• $t^{10}v^2s^{21}$

• $3t^7v^2s^{21}$

• $9t^7v^2s^{21}$

Poll

The sum of 2 integers is __________ rational.

Ex.  $-2+5=3$  
Ex.  $\sqrt{4}+7\ =\ 2\ +7\ =\ 9$  

• always

• sometimes

• never

Poll

The product of an irrational number and a non-zero rational number is  _________  irrational.

Ex.  $\sqrt{2}\cdot3\ =\ 3\sqrt{2}$  
Ex.  $18\cdot\pi\ =\ 18\pi$  

• always

• sometimes

• never

Poll

The quotient of two irrational number is  _________  irrational.

Ex.  $\frac{\sqrt{12}}{\sqrt{6}}=\sqrt{\frac{12}{6}}=\sqrt{2}$  


Ex.  $\frac{\sqrt{27}}{\sqrt{3}}=\sqrt{\frac{27}{3}}=\sqrt{9}=3$  

• always

• sometimes

• never

Poll

The quotient of two nonzero integers is  _________  an integer.

Ex.  $\frac{10}{-2}=-5$  


Ex.  $\frac{10}{-3}=-\frac{10}{3}$  

• always

• sometimes

• never

Multiple Choice

Write as a radical expression

 $y^{\frac{2}{3}}$  

• $2y^3$

• $\sqrt{y^3}$
  

• $\ ^3\sqrt{y^2}$
  

• $3y^2$
  

Multiple Choice

Consider the image. Convert to radical form.

• A

• B

• C

• D

Multiple Choice

Write in exponential form  $\ \ ^3\sqrt{x^7}$   

• $x^{\frac{7}{3}}$

• $x^{\frac{3}{7}}$
  

• $3x^7$
  

• $7x^3$
  

Multiple Select

Determine which of the following expressions is equivalent to $x^{\frac{9}{5}}$ .  

SELECT ALL THAT APPLY.

•  $^5\sqrt{x^9}$  

•  $^9\sqrt{x^5}$  

•  $\left(\left(\ ^5\sqrt{x}\right)^3\right)^{3\ }$  

•  $\ ^5\sqrt{x^4}\cdot^{\ 5}\sqrt{x^5}$  

•  $\frac{\left(\ ^4\sqrt{x}\right)^0}{\left(\ ^5\sqrt{x^3}\right)^{-3}}$  

Multiple Choice

• Shawn is right. Every single step is correct.

• Shawn is incorrect because step A should be $x^{\frac{2}{3}}\cdot x^{\frac{1}{2\ }}$

  
  

• Shawn is incorrect because step B should be $x^{\frac{3}{2}\cdot\frac{1}{2}}$

• Shawn is incorrect because step C and D should be $x^{\frac{4}{4}}=x$

Fill in the Blanks

Multiple Choice

Consider the image of a swimming with a path around it. Based on the dimensions, what is the Area of the swimming pool? Area = (length)(width). Hint: binomial times binomial.

• $20x^2-16$ feet

• $91x^2+30x-16$ feet
  

• $91x-16$ feet

• $20x^2+30x-16$ feet