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1. Review of Real Numbers(0)

Simplifying Fractions
(0)

Evaluating Exponents
(0)

Evaluating Expressions
(0)

Translating Phrases to Expressions
(0)

Translating Sentences to Equations
(0)

The Distributive Property
(0)

Simplifying Expressions
(0)

2. Linear Equations and Inequalities(0)

The Addition and Subtraction Properties of Equality
(0)

The Multiplication and Division Properties of Equality
(0)

Solving Linear Equations
(0)

Linear Inequalities in One Variable
(0)

3. Solving Word Problems(0)

Introduction to Problem Solving
(0)

Formulas
(0)

Percent Problem Solving
(0)

Mixture Problem Solving
(0)

4. Graphing Linear Equations in Two Variables(0)

The Rectangular Coordinate System
(0)

Graph Linear Equations in Two Variables
(0)

Graph Linear Equations Using Intercepts
(0)

Slope of a Line
(0)

Slope-Intercept Form
(0)

Point Slope Form
(0)

5. Systems of Linear Equations(0)

Solving Systems of Linear Equations by Graphing
(0)

Solving Systems of Linear Equations by Substitution
(0)

Solving Systems of Linear Equations by Elimination
(0)

6. Exponents and Polynomials(0)

The Product Rule
(0)

The Quotient Rule
(0)

Intro to the Power Rules
(0)

The Power of a Quotient Rule
(0)

Negative Exponents
(0)

Simplifying Exponential Expressions Using All Exponent Rules
(0)

Intro to Polynomials
(0)

Adding and Subtracting Polynomials
(0)

Multiplying Polynomials
(0)

Special Products
(0)

7. Factoring(0)

Factoring by Greatest Common Factor & Grouping
(0)

Factoring Trinomials of the Form x² + bx + c
(0)

Factoring Trinomials of the Form ax² + bx + c
(0)

Factoring Special Products
(0)

Quadratic Equations & Applications
(0)

8. Rational Expressions and Equations(0)

Simplifying Rational Expressions
(0)

Multiplying and Dividing Rational Expressions
(0)

Adding and Subtracting Rational Expressions with Common Denominators
(0)

Least Common Denominators
(0)

Adding and Subtracting Rational Expressions with Different Denominators
(0)

Rational Equations
(0)

9. Inequalities and Absolute Value(0)

Set Operations and Compound Inequalities
(0)

Absolute Value Equations
(0)

Absolute Value Inequalities
(0)

Linear Inequalities in Two Variables
(0)

Systems of Linear Inequalities
(0)

10. Relations and Functions(0)

Introduction to Relations and Functions
(0)

Function Notation
(0)

Graphing Common Functions
(0)

Composition of Functions
(0)

Direct & Inverse Variation
(0)

11. Roots, Radicals, and Complex Numbers(0)

Introduction to Radical Expressions
(0)

Simplifying Radical Expressions
(0)

Adding and Subtracting Radicals
(0)

Multiplying, Dividing, and Rationalizing Radicals
(0)

Introduction to Complex Numbers
(0)

Multiplying and Dividing Complex Numbers
(0)

12. Quadratic Equations and Functions(0)

The Square Root Property
(0)

Completing the Square
(0)

The Quadratic Formula
(0)

Graphing Quadratic Equations
(0)

13. Inverse, Exponential, & Logarithmic Functions(0)

Introduction to Inverse Functions
(0)

Exponential Functions
(0)

Introduction to Logarithmic Functions
(0)

Properties of Logarithms
(0)

14. Conic Sections & Systems of Nonlinear Equations(0)

Graphing Circles
(0)

Ellipses
(0)

Parabolas
(0)

Hyperbolas
(0)

15. Sequences, Series, and the Binomial Theorem(0)

Introduction to Sequences
(0)

Arithmetic Sequences
(0)

Geometric Sequences
(0)

Factorials
(0)

1. Review of Real Numbers

Simplifying Fractions

1. Review of Real Numbers

Simplifying Fractions: Videos & Practice Problems

Video Lessons Practice Worksheet

25 problems

Problem 1Multiple Choice

In the fraction 7/12, which number is the numerator and what general role does it play?

Problem 2Multiple Choice

To represent the fraction 3/5 using a circle divided into equal parts, into how many equal parts should you divide the circle and how many of those parts should be shaded?

Problem 3Multiple Choice

A cookie recipe calls for 3/4 cup of sugar. You mistakenly add exactly half the required amount. What fraction of the required sugar did you actually add?

Problem 4Multiple Choice

Classify the fraction 7/5. Which of the following best describes it?

Problem 5Multiple Choice

Express the improper fraction 9/4 as a mixed number and state how many whole shapes (each divided into fourths) would be fully shaded when representing 9/4 visually.

Problem 6Multiple Choice

Which of the following sets lists three fractions that are all equivalent to 2/3?

Problem 7Multiple Choice

Simplify the fraction 42/56 to lowest terms.

Problem 8Multiple Choice

Simplify 462/210 fully by using prime factorization and canceling common prime factors.

Problem 9Multiple Choice

You must simplify 100/70. Which strategy is the most efficient?

Problem 10Multiple Choice

A recipe requires 1 1/2 cups of milk. If you only have a 3/4-cup measuring cup, how many full 3/4-cup scoops are needed to measure the 1 1/2 cups exactly?

Problem 11Multiple Choice

Why is it invalid to have a fraction with denominator equal to zero (for example, a/0)?

Problem 12Multiple Choice

If a circle is divided into 8 equal parts to represent eighths and you shade 5 of those parts, which fraction is represented?

Problem 13Multiple Choice

Find the integer n such that multiplying numerator and denominator of 5/9 by n gives the fraction 35/63. What is n?

Problem 14Multiple Choice

Is the fraction 14/49 already in lowest terms? If not, what is it simplified to?

Problem 15Multiple Choice

Simplify 75/100 to lowest terms.

Problem 16Multiple Choice

Which method is most efficient to simplify 231/297?

Problem 17Multiple Choice

You ate 7/4 pizzas at a party. Express this amount as a mixed number and describe how many whole pizzas and what fraction of another pizza were eaten.

Problem 18Multiple Choice

Use prime factorization to simplify 77/91.

Problem 19Multiple Choice

Which of the following best describes the fraction 8/8?

Problem 20Multiple Choice

Simplify 96/168 by performing successive common-factor cancellations.

Problem 21Multiple Choice

Which operation creates an equivalent fraction to a/b while keeping its value unchanged?

Problem 22Multiple Choice

Simplify 1024/384 efficiently by recognizing powers of two. What is the simplified fraction?

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Problem 23Multiple Choice