# Algebra

### Featured Answers

### Expressions, Equations, and Functions

- Variable Expressions
- Expressions with One or More Variables
- PEMDAS
- Algebra Expressions with Fraction Bars
- Patterns and Expressions
- Words that Describe Patterns
- Equations that Describe Patterns
- Inequalities that Describe Patterns
- Function Notation
- Domain and Range of a Function
- Functions that Describe Situations
- Functions on a Cartesian Plane
- Vertical Line Test
- Problem-Solving Models
- Trends in Data
- Properties of Rational Numbers
- Additive Inverses and Absolute Values
- Addition of Integers
- Addition of Rational Numbers
- Subtraction of Rational Numbers
- Multiplication of Rational Numbers
- Mixed Numbers in Applications
- Expressions and the Distributive Property
- When to Use the Distributive Property
- Division of Rational Numbers
- Applications of Reciprocals
- Square Roots and Irrational Numbers
- Order of Real Numbers
- Guess and Check, Work Backward
- One-Step Equations and Inverse Operations
- Applications of One-Step Equations
- Two-Step Equations and Properties of Equality
- Multi-Step Equations with Like Terms
- Distributive Property for Multi-Step Equations
- Equations with Variables on Both Sides
- Equations with Ratios and Proportions
- Scale and Indirect Measurement Applications
- Conversion of Decimals, Fractions, and Percent
- Percent Equations
- Percent of Change
- Formulas for Problem Solving
- Graphs in the Coordinate Plane
- Graphs of Linear Equations
- Horizontal and Vertical Line Graphs
- Applications of Linear Graphs
- Intercepts by Substitution
- Intercepts and the Cover-Up Method
- Slope
- Rates of Change
- Slope-Intercept Form
- Graphs Using Slope-Intercept Form
- Direct Variation
- Applications Using Direct Variation
- Function Notation and Linear Functions
- Graphs of Linear Functions
- Problem Solving with Linear Graphs
- Write an Equation Given the Slope and a Point
- Write an Equation Given Two Points
- Write a Function in Slope-Intercept Form
- Linear Equations in Point-Slope Form
- Forms of Linear Equations
- Applications Using Linear Models
- Equations of Parallel Lines
- Equations of Perpendicular Lines
- Families of Lines
- Fitting Lines to Data
- Linear Interpolation and Extrapolation
- Problem Solving with Linear Models
- Dimensional Analysis
- Inequality Expressions
- Inequalities with Addition and Subtraction
- Inequalities with Multiplication and Division
- Multi-Step Inequalities
- Compound Inequalities
- Applications with Inequalities
- Absolute Value
- Absolute Value Equations
- Graphs of Absolute Value Equations
- Absolute Value Inequalities
- Linear Inequalities in Two Variables
- Theoretical and Experimental Probability
- Graphs of Linear Systems
- Systems Using Substitution
- Mixture Problems
- Linear Systems with Addition or Subtraction
- Linear Systems with Multiplication
- Consistent and Inconsistent Linear Systems
- Linear Programming
- Probability and Permutations
- Probability and Combinations
- Exponential Properties Involving Products
- Exponential Properties Involving Quotients
- Negative Exponents
- Fractional Exponents
- Scientific Notation
- Scientific Notation with a Calculator
- Exponential Growth
- Exponential Decay
- Geometric Sequences and Exponential Functions
- Applications of Exponential Functions
- Polynomials in Standard Form
- Addition and Subtraction of Polynomials
- Multiplication of Monomials by Polynomials
- Multiplication of Polynomials by Binomials
- Special Products of Polynomials
- Monomial Factors of Polynomials
- Zero Product Principle
- Factorization of Quadratic Expressions
- Factor Polynomials Using Special Products
- Factoring by Grouping
- Factoring Completely
- Probability of Compound Events
- Quadratic Functions and Their Graphs
- Vertical Shifts of Quadratic Functions
- Use Graphs to Solve Quadratic Equations
- Use Square Roots to Solve Quadratic Equations
- Completing the Square
- Vertex Form of a Quadratic Equation
- Quadratic Formula
- Comparing Methods for Solving Quadratics
- Solutions Using the Discriminant
- Linear, Exponential, and Quadratic Models
- Applications of Function Models
- Graphs of Square Root Functions
- Simplification of Radical Expressions
- Addition and Subtraction of Radicals
- Multiplication and Division of Radicals
- Radical Equations
- Pythagorean Theorem and its Converse
- Distance Formula
- Midpoint Formula
- Measures of Central Tendency and Dispersion
- Stem-and-Leaf Plots
- Box-and-Whisker Plots
- Inverse Variation Models
- Graphs of Rational Functions
- Division of Polynomials
- Excluded Values for Rational Expressions
- Multiplication of Rational Expressions
- Division of Rational Expressions
- Addition and Subtraction of Rational Expressions
- Rational Equations Using Proportions
- Clearing Denominators in Rational Equations
- Surveys and Samples
- What is the x and y intercept of #x-y=5#?
- What is the purpose of using the elimination method?
- How do you simplify polynomials?
- How do you create box and whisker plots on a graphing calculator?
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- Question #d266f
- How do you solve the following? 6√1/6 - √2/3 the answer at the back of the book says 6√2, but I'm not sure how to get there.
- How do you solve roots and radical questions that have fractions underneath the radical sign? For example the following question: 1/2√4/3 - 2/3√3/4 + 2√1/12
- Define algebra in terms that I can easily understand?
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- What is the intercept for the line #sf(2x-3y-5=0)# ?
- How does the Fibonacci sequence relate to real life?
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- What is #sqrt{-sqrt3 + sqrt (3 + 8 sqrt (7 + 4 sqrt3#?
- If #x = sqrt3/2# then #{sqrt(1+x )+sqrt(1-x)}/{sqrt(1+x)- sqrt(1-x)}#?
- If # 2x = sqrt a +1/sqrt a# then what is the value of #sqrt(x^2 - 1)/{x - sqrt(x^2 - 1)}# ?
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- How do you simplify #(x^(2/5)y)/(xy^(-1/3))#?
- How do you simplify #(x^(2/3)*x^(4/6))^(-3)#?
- How do I simplify #(2sqrt(x)*sqrt(x^3))/sqrt(64x^15)#?
- Solve the equation: #(3-8x^2)^(1/4) = 2x#?
- Question #b91f5
- How do you factor #x^2-26x^3-27#?
- How do you estimate a family spending on food if you assume that the spending on food increases linearly and a family spent $3600 on food last year and $3000 the year before the last?
- How do you factor complete #x^3-8x^2+9x+18=0#?
- # x = 3 + 2sqrt(2)#, Find the value of #x ^ (1/2) - x ^ (1/2)#?
- If # x = 3 +2sqrt(2)# Then what is #x ^ (1/2) - x ^ (-1/2)#?
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- If #x=3+2sqrt2# Then what is # x^(1/2)−x^(−1/2)#?
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- What is the purpose of the distributive property?
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- How would I add #{5n}/{4n^2-20n}# to #{5n}/{n-1}# (e.g., #{5n}/{4n^2-20n}+{5n}/{n-1}#)?
- What is a fail-safe method you can use to find reasoning for a step in a two-column proof if you're not sure of what answer to give?
- Prove that #(a^2 - b^2 - c^2 + 2bc)/(b^2 + 2bc + c ^2 - a^2) =((s-b)(s-c))/(s(s-a))# If# a + b + c = 2s#?
- Question #1dcbc
- How do I identify the x-intercept(s) and vertical asymptote(s): #y=5/(x^2-1)#?
- How do I identify the x-intercept(s) and vertical asymptote(s): #y=(x^3+27)/(3x^2+x)#?
- Question #a34c4
- I can do 16 weight lifts, which is only two-fifths of what Ted can do. How many can Ted do?
- A) If y=x^2+kx+3, determine the value(s) of k for which the min value of the function is an integer?
- Question #b8644
- The function #h(t)=-5t^2+20t+2# gives the approximate height, #h# meters, of a thrown football as a function of the time, #t# seconds, since it was thrown. The ball hit the ground before a receiver could get near it. a) How long was the ball in the air?
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- What is the linear equation #10y=-6x-9# in standard form?
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- X squared + 2x -35 how to solve this?
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