# 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
- Question #0b637
- Sam receives a paycheck every other Friday. His yearly salary is #$84500.00#. How much is his gross paycheck each payday?
- How do you factor quadratic equations box method?
- Question #13354
- Question #05482
- Question #24247
- How do you simplify #(-7x^4y^2)(-2x^2y^2)#?
- What is the last digit in the number #7^(7^(7^(7^(7^(7^7)))))# ?
- How do u know if an equation is combined transformation is it when you have all the variables a, k, d and c?
- Can you please explain the rational root theorem and the factor theorem?
- Question #d1034
- Question #c7129
- How do you know if a triangle is ambiguous?
- Given that #z # is a complex number and that#|z|> 0# Show that #|z + 1|>=1#?
- Question #fcc28
- Question #ef706
- Question #357ad
- Question #d90f9
- Question #b1688
- What is #2^(3^2)#?
- Question #9b0dd
- What is the new AC Method to factor trinomials?
- If #x = 5 - 5 ^ ( 2/3) - 5 ^ (1/3)# Prove that# x ^3 - 15x^2 + 60 x - 20 = 0# ?
- What is algebra useful for in real life?
- Question #081ca
- Question #3863c
- Question #38732
- What is the new Transforming Method to solve quadratic equations?
- What is the new Transposing Method to solve linear equations?
- Question #3e37f
- Question #43427
- Question #79a9f
- Question #15fa0
- If# x = (a/b)^((2ab)/(a^2-b^2))# Prove that #( (ab)/(a^2+b^2) )(x^(a/b) + x ^ (b/a))=(a/b)^((a^2+b^2)/(a^2 - b^2))#?
- Question #f12fd
- If # p ^ (a^3 - b^3 ) = q^ (a^3 + b^3 ) = r ^ ( a^2- b^2)# Then prove that# (p/q)^(a^2 + b^2) = (r^ (2b ))/((pq)^(ab))# ?
- What is #x^(2/3)# divided by #x^(1/2)#?
- If# (y/z)^a * (z/x)^b*(x/y)^c = 1# Then prove #(y/z)^(1/(b-c))=(z/x)^(1/(c-a)) = (x/y)^(1/(a-b))#?
- Prove that #(x+y)(x^2 +y^2)(x^4 +y^4).......(x^{2^(n-1 )} + y^{2^(n-1 )}) = {x^(2^(n)) -y^(2^(n))}/(x-y)#?
- Question #9e5f7
- Question #9ea92
- How do you write #y= x^2-18x+52 into vertex form?
- Question #9fc71
- Question #2aff7
- What is the value of #x# if #sqrt(5x+1) = x+1#?
- Question #4c87b
- Question #2555b
- If #(5-sqrt(x))^2 = y-20sqrt(2)# where #x, y# are integers, then what are #x# and #y# ?
- Question #43eb0
- Question #1ab06
- Question #99e41
- Question #56298
- Question #fdc59
- Find the roots of #e^(xcoshx)=3#?
- Question #c2e26
- Question #c5c0c
- Question #7eb8c
- Question #15e3f
- If #4/10=10/m# what is the value of #m#?
- What is the average rate of change of the function #y = x^2+1# over the interval #[5, 5+a]# ?
- Question #72fd4
- How do you solve #a^2-sqrt(3)a+1 = 0# ?
- How do you solve #(x+1)^2+2 = 7# ?
- Question #c78ad
- Question #0e123
- If you were to produce a 3 digit multiple of 7 that has a final digital sum of 7 using the formula; 7(1+9k). How do you calculate what k is?
- How do you write #Y=-7(x-3)^2+12# in standard form?
- How do you combine # [(3x - 5)/(3 - x)] + [(1)/(1 - x)] - [(x^2 - 1)/(x^2 - 4x + 3)]#?
- Why does the equation #4x^2-25y^2-24x-50y+11=0# not take the form of a hyperbola, despite the fact that the squared terms of the equation have different signs? Also, why can this equation be put in the form of hyperbola#(2(x-3)^2)/13 - (2(y+1)^2)/26=1#
- Question #46f24
- Question #e4ce0
- Why are so many people under the impression that we need to find the domain of a rational function in order to find its zeros? Zeros of #f(x) = (x^2-x)/(3x^4+4x^3-7x+9)# are #0,1#.
- Question #4e512
- Given a circle with equation #x^2+(y-1)^2 = 10#, what are the equations of the two tangents to the circle that run through the point #(4, -1)# ?
- What is the least common multiple of #p# and #q# if #p, q# are prime numbers ?
- Question #c9e1c
- How do you FOIL #(3x - 2)(2x + 5)#?
- Question #6bd54
- Question #6c523
- How do you find the percentage of stock X originally invested?
- How do you write an equation in standard form given a line that passes through (2,9) and (1,3)?
- Question #5ff03
- An arched window formed from the union of a semicircle and a rectangle has total perimeter #540"cm"#. What is the maximum possible area of the window?
- Question #3b1bd
- How do you show that #kx^2+2x-(k-2) = 0# has at least one real root for any value of #k# ?
- Question #0e900
- Question #3b27d
- Squares are cut from each corner of a #0.5m xx 0.5m# square of cardboard and the sides folded up to make an open box. What is the maximum possible volume of the box?
- Is #5 * 7 * 11 + 13 * 17# odd or even, prime or composite?
- If #x^2+bx+40# has a turning point at #x=-7# then what is #b# ?
- What is the history of FOIL? and why does it seem to be emphasized over more general methods of multiplication (like use of the distributive property or tabular multiplication)?
- How do I factor a polynomial (e.g. cubic)?
- How can you find the GCF of two polynomials?
- Question #1ca2d
- How to simplify algebraic fractions?
- What is the equation of a circle of radius 1, which is also tangent to the line 3x-4y+1=0 at the y-axis value = 1 ?
- How do you solve the system #y=2x-3# and #x+y=15#?
- Question #fc123
- How do you factor #64-y^2#?
- How do you factor #9t^2-1# ?