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 Blank

Consider the image of a swimming with a path around it. Based on the dimensions, what is the perimeter of the swimming pool? Perimeter is the sum of all the sides.

Type your answer below. Do not include spaces or words. Only type an expression.

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