Algebra Review

Unit 1 Review

Real Numbers, Exponents & Polynomials

Multiple Choice

$$\left(8x^3-4x^4+5\right)+\left(8x^4-5+2x\right)$$  

Multiple Choice

$$\left(n^2+3n+4\right)-\left(-5n^2+8n+6\right)$$  

Multiple Choice

$$8n\left(n^2-5n-4\right)$$  

• $$8n^2-40n-32$$  

• $$8n^3-40n^2-32n$$  

• $$8n^2-40n-32n$$  

• $$8n^3+40n^2+32n$$  

Multiple Choice

$$\left(7x+5\right)\left(3x-3\right)$$  

• $$21x^2-6x-15$$  

• $$21x^2+6x-15$$  

• $$21x^2-36x+15$$  

• $$21x^2-15$$  

Multiple Choice

$$\left(-3x-2y\right)\left(8x+7y\right)$$  

Multiple Choice

$$\left(2n+4\right)^2$$  

Multiple Choice

$$\left(3x+7\right)\left(3x-7\right)$$  

Multiple Choice

$$\left(4m-3\right)\left(3m^2+5m-2\right)$$  

Multiple Select

Which operation shows polynomial closure? Select all that apply.

• addition

• subtraction

• multiplication

• division

Polynomial Applications

Perimeter, Area, Volume & Other Real-Life Problems

Multiple Choice

Which expression represents the perimeter of the figure?

• $$x\left(3x+4\right)$$
  units

• $$x+\left(3x+4\right)$$
  units

• $$x+x+\left(3x+4\right)+\left(3x+4\right)$$

  
  units

Multiple Choice

Find the volume.

• $$3x+9$$
  
  cubic units

• $$x^3+9x^2+18$$
  
  cubic units

• $$2x^2+9x$$
  
  cubic units

• $$x^3+18$$
  
  cubic units

Multiple Choice

Convert

$$\sqrt{x^3}$$  

• $$x^{\frac{2}{3}}$$  

• $$x^{\frac{3}{2}}$$  

• $$x^{\frac{1}{3}}$$  

• $$x^{\frac{3}{1}}$$  

Multiple Choice

$$\left(x^{\frac{2}{5}}\right)\sqrt{x^2}$$ = 

• $$x^{\frac{12}{5}}$$  

• $$x^{\frac{7}{5}}$$  

• $$x^{\frac{2}{5}}$$  

• $$x^{\frac{4}{5}}$$  

Multiple Choice

$$\frac{x^{\frac{3}{5}}}{x^{\frac{4}{5}}}=$$  

• $$x^{\frac{12}{25}}$$  

• $$x^{\frac{3}{4}}$$  

• $$x^{\frac{7}{5}}$$  

• $$\frac{1}{x^{\frac{1}{5}}}$$  

Multiple Select

Which result is an irrational sum or product? Select all that apply.

• rational + irrational

• rational x rational

• $$3\times\sqrt{7}$$  

• $$\sqrt{25}+\ \frac{6}{11}$$