Chapter 1 Review (College Algebra)

Chapter 1 Review

​College Algebra (MATH 136)

​Sections in Chapter 1...

• ​1.1 Real Numbers

• 1.2 Exponents and Radicals

• 1.3 Algebraic Expressions

• 1.4 Fractional Expressions​

Multiple Select

The number $$-\frac{2}{3}$$  is in which of the following number sets (select all)?

• Irrational Numbers

• Rational Numbers

• Integers

• Whole Numbers

• Real Numbers

Multiple Select

The number $$-971$$  is in which of the following number sets (select all)?

• Complex Numbers

• Whole Numbers

• Integers

• Rational Numbers

• Real Numbers

Multiple Choice

Choose the correct radical representation:

$$\left(x-3\right)^{\frac{5}{3}}$$  

• $$\sqrt[\frac{5}{3}]{x-3}$$  

• $$\sqrt[5]{\left(x-3\right)^3}$$  

• $$\sqrt[3]{\left(x-3\right)^5}$$  

• $$\sqrt[3]{x^5}-3$$  

Multiple Choice

Simplify:

$$\left(-5a^3b^{-1}\right)\left(-9a^{-2}b^{-7}\right)$$  

• $$45ab^7$$  

• $$\frac{45a}{b^8}$$  

• $$\frac{45b^7}{a^6}$$  

• $$45a^6b^6$$  

Multiple Choice

Simplify:

$$\sqrt[3]{16x^4y^9}$$  

• $$2x^3y\ \sqrt[3]{y}$$  

• $$2xy^3\ \sqrt[3]{2x}$$  

• $$4xy^3$$  

• $$4xy^2\ \sqrt[3]{xy}$$  

Multiple Choice

Simplify:

$$\left(3x^3-7x^2+9\right)-\left(x^4+2x^3-7x^2+1\right)$$  

• $$-x^4+x^3+8$$  

• $$x^3-5x^2+2x+4$$  

• $$x^4-x^3-8$$  

• $$-x^4+x^3-14x^2+8$$  

Multiple Choice

Simplify:

$$\left(x+2\right)\left(2x^2-3x+1\right)$$  

• $$2x^3+x^2-5x+2$$  

• $$2x^3-x^2+5x-2$$  

• $$x^2-5x+10$$  

• $$2x^3-x^2+5x-7$$  

Multiple Choice

Factor:

$$3x^2-x-4$$  

• $$\left(3x+1\right)\left(x-4\right)$$  

• $$\left(4x-1\right)\left(x+3\right)$$  

• $$\left(3x-4\right)\left(x+1\right)$$  

• $$\left(x-1\right)\left(3x+4\right)$$  

• Cannot be factored

Multiple Choice

Factor:

$$a^2+9b^2$$  

• $$\left(a-3b\right)\left(a+3b\right)$$  

• $$\left(a+3b\right)^2$$  

• $$\left(a-9b\right)\left(a+9b\right)$$  

• $$\left(a+9b\right)^2$$  

• Cannot be factored

Multiple Choice

Simplify:

$$1+\frac{7}{g}+\frac{4g}{2g-1}$$  

• $$\frac{5g^2-g+4}{g\left(2g-1\right)}$$  

• $$\frac{11g-7}{g}$$  

• $$\frac{3g-1}{2g-1}$$  

• $$\frac{6g^2+13g-7}{g\left(2g-1\right)}$$  

Multiple Choice

Rationalize and simplify:

$$\frac{2}{\sqrt[]{6}}$$  

• $$\frac{\sqrt[]{6}}{2}$$  

• $$\frac{\sqrt[]{6}}{3}$$  

• $$\frac{\sqrt[]{3}}{2}$$  

• $$\frac{\sqrt[]{6}}{6}$$  

​That's it!

• You can replay this Quizizz as much as you want!

• Use it as a review for the test!

• It's difficulty is somewhat similar!

​Congrats to you if you read this. You get nothing.