Here is an example of how to solve a system of inequalities. Remember to read the lesson on this topic. Basic steps to follow: 1. First make sure you understand how to solve linear inequalities and systems 2. Graph both lines of the system and find the solution; be mindful…

# Month: March 2012

## How To Solve A System By Graphing Example 1

Here is an example of how to solve a system using the graphing method. Remember to read the lesson on this topic. Basic steps to follow: 1. First understand that the solution to a system is the (x, y) point where the lines that make up the system intersect 2.…

## Systems Elimination Combination Method Example 1

Here is an example of how to solve a system using the elimination combination method. Remember to read the lesson on this topic. Basic steps to follow: 1. First understand that you can solve systems using various methods- this is only one method 2. Take steps such that you get…

## How To Multiply And Divide Positive And Negative Numbers (Real Numbers) Example 1

Here is an example of how to multiply and divide positive and negative numbers (real numbers). Remember to read the lesson on this topic. Basic steps to follow: 1. First understand that these rules apply to positive and negative numbers on the real number line- “real numbers” 2. The rules…

## How To Add Like Terms Example 1

Here is an example of how to simplify an expression by combining like terms. Remember to read the lesson on this topic. Basic steps to follow: 1. First understand what like terms are; like terms are expressions that have the same variable(s) to the exact same powers 2. Locate all…

## How To Use The Distributive Property Example 1

Here is an example of how to use the distributive property. Remember to read the lesson on this topic. Basic steps to follow: 1. First understand that the distributive property in another way to do multiplication 2. The distributive property is key in algebra especially when you see expressions with…

## How To Add And Subtract Positive And Negative Numbers Example 1

Here is an example of how to add and subtract positive and negative numbers. Remember to read the lesson on this topic. Basic steps to follow: 1. First we are focusing on the positive and negative numbers on the real number line 2. Next to add positive and negative numbers…

## Direct And Inverse Variation Example 1

Here is an example of how to solve a direct and inverse variation problem. Remember to read the lesson on this topic. Basic steps to follow: 1. First understand that variation problems are basically equation problems; know the difference between direct and inverse variation 2. Next use the data in…

## How To Simplifying Rational Expressions Example 1

Here is an example of how to simplify a rational expression. Remember to read the lesson on this topic. Basic steps to follow: 1. First understand that a rational expression is a fraction with variables 2. Simplifying a rational expression means to reduce the expression-think of it as reducing a…

## Ratios And Proportions Example 1

Here is an example of how to solve a ratio and proportion problem. Remember to read the lesson on this topic. Basic steps to follow: 1. First understand that a ratio is a fraction and a proportion is two equal fractions 2. Identify a fraction from the information in the…

## How To Solve A Rational Equations Example 1

Here is an example of how to solve a rational equation. Remember to read the lesson on this topic. Basic steps to follow: 1. First if the rational equation is a proportion (one fraction = one fraction) than cross multiply to solve 2. However if the rational equation is not…

## Solve Basic Percent Problem Example 1

Here is an example of how to solve a percent problem. Remember to read the lesson on this topic. Basic steps to follow: 1. First keep in mind that percent is a fraction where the denominator is 100 2. To find the percent of a number change the percent to…

## Multiplying And Dividing Rational Expressions Example 1

Here is an example of how to multiply and divide rational expressions. Remember to read the lesson on this topic. Basic steps to follow: 1. First understand that performing operations with rational expressions follow the same steps as operations with fractions 2. Always factor expressions first to simplify before multiplying…

## Adding And Subtracting Rational Expressions Example 1

Here is an example of how to add and subtract a rational expression. Remember to read the lesson on this topic. Basic steps to follow: 1. First understand that operations involving rational expressions follow the same procedures as working with fractions 2. Next to add or subtract rational expressions they…

## Radical Equations Example 1

Here is an example of how to solve a radical equation. Remember to read the lesson on this topic. Basic steps to follow: 1. First write the equation such that you have the radical isolated on one side of the equation 2. Next square both sides of the equation to…

## Simplifying Radicals (Square Roots) Example 1

Here is an example of how to simplify a radial (square root). Remember to read the lesson on this topic. Basic steps to follow: 1. First understand that square roots are 1 type of radical expression; cube roots and other roots also follow these rules 2. The key to simplifying…

## Pythagorean Theorem Example 1

Here is an example of how to use the Pythagorean Theorem. Remember to read the lesson on this topic. Basic steps to follow: 1. First the Pythagorean Theorem only applies to right triangles; make sure that one of the angles of the triangles = 90 degrees 2. Next plug in…

## Operations With Radicals Example 1

Here is an example of how to perform operations with radical and square roots. Remember to read the lesson on this topic. Basic steps to follow: 1. First know the properties of radicals; multiplication/division are the same and adding/subtracting are the same 2. Next when multiplying radicals- multiply the numbers…

## Mid-Point Formula Example 1

Here is an example of how to use the mid-point formula. Remember to read the lesson on this topic. Basic steps to follow: 1. First understand that the mid-point formula finds the (x, y) point that is “mid way” between two other points 2. Next plug in your (x, y)…

## Distance Formula Example 1

Here is an example of how to use the distance formula. Remember to read the lesson on this topic. Basic steps to follow: 1. First understand the distance formula finds the “distance” between two points on the x-y plane. 2. Next plug in your (x, y) points into the formula…

## Solve A Quadratic Equation By Taking The Square Roots Example 1

Here is an example of how to solve a quadratic equation by taking the square roots of both sides. Remember to read the lesson on this topic. Basic steps to follow: 1. First not all quadratic equations can be solved by taking the square roots of both sides (unless you…

## Solve A Quadratic Equation By Factoring Example 1

Here is an example of how to solve a quadratic equation by factoring. Remember to read the lesson on this topic. Basic steps to follow: 1. First understand that not all quadratic equations can be factored; if the equation can be factored follow these steps 2. Factor the quadratic equation…

## Quadratic Inequalities Example 1

Here is an example of how to solve a quadratic inequality. Remember to read the lesson on this topic. Basic steps to follow: 1. First graph the parabola; find the y -intercept and possible x-intercepts to make the graph as accurate as possible 2. Next make sure the graph of…

## Solve Using The Quadratic Formula Example 1

Here is an example of how to solve a quadratic equation by using the quadratic formula. Remember to read the lesson on this topic. Basic steps to follow: 1. First write the equation in standard form (from highest to lowest power) 2. Next plug in your a, b and c…

## Graphing A Quadratic Equation Example 1

Here is an example of how to graph a quadratic equation. Remember to read the lesson on this topic. Basic steps to follow: 1. First write the quadratic equation into standard form (from highest to lowest power) 2. Next use the formula to find the vertex (x, y) point of…

## Find The Discriminant Quadratic Formula Example 1

Here is an example of finding the type of roots using the discriminant. Remember to read the lesson on this topic. Basic steps to follow: 1. First understand the discriminant is part of the quadratic formula- the part inside the square root 2. The purpose of the discriminant is to…

## Quadratic Equations Completing The Square Example 1

Here is an example of how to solve a quadratic equation by completing the square. Remember to read the lesson on this topic. Basic steps to follow: 1. First make sure the equation is in standard form- highest to lowest power 2. Next perform the operations to set up a…

## Scientific Notation Example 1

Here is an example of scientific notation. Remember to read the lesson on this topic. Basic steps to follow: 1. Scientific notation is a method to write very large or small numbers in a power – power of 10 2. The key idea in scientific notation is to move the…

## Properties Of Exponents- Power Rules Example 1

Here is an example of the properties of exponents. Remember to read the lesson on this topic. Basic steps to follow: 1. First know the basics about powers- they have a base and an exponent 2. Take note that to multiply or divide powers the bases must be the same…

## Exponential Growth And Decay Example 1

Here is an example of how to determine if a graph is exponential growth or decay. Remember to read the lesson on this topic. Basic steps to follow: 1. Both exponential growth and decay are functions- i.e. there graphs pass the vertical line test 2. Exponential function graphs slope upward…

## Compound Interest Example 1

Here is an example of a compound interest problem. Remember to read the lesson on this topic. Basic steps to follow: 1. First make sure you understand the formula and what the variables represent 2. Common areas to note: the “r” in the formula is the APR (annual interest rate)…

## Special Multiplication Rules For Polynomials Example 1

Here is an example of how to multiply polynomials using special rules. Remember to read the lesson on this topic. Basic steps to follow: 1. First only certain special multiplication patterns will have a rule- example (a + b)(a – b) 2. Once you determined the special pattern apply the…

## Special Factoring Rules Example 1

Here is an example of how to use special factoring rules to factor a polynomial. Remember to read the lesson on this topic. Basic steps to follow: 1. First try to factor out a gcf from the polynomial 2. Next determine what type of special pattern the polynomial has- i.e.…

## Factor Quadratic Trinomial Example 1

Here is an example of how to factor a quadratic trinomial. Remember to read the lesson on this topic. Basic steps to follow: 1. First understand that you may not be able to factor a polynomial- i.e. the polynomial is prime 2. Next there are a few common methods to…

## Factor The GCF From A Polynomial Example 1

Here is an example of how to factor the gcf from a polynomial. Remember to read the lesson on this topic. Basic steps to follow: 1. First understand that there maybe no gcf to factor- a polynomial could be prime 2. Prime factor each of the terms of the polynomial…

## Add And Subtract Polynomials Example 1

Here is an example of how to add and subtract polynomials. Remember to read the lesson on this topic. Basic steps to follow: 1. First if the problem is subtraction make sure to correctly distribute the negative sign to all terms 2. Next determine what terms are like and not…

## Evaluate Variable Expressions Example 1

Here is an example of how to evaluate a variable expression. Remember to read the lesson on this topic. Basic steps to follow: 1. First replace the variable with the value(s) in the given expression 2. Always double check that you plugged in the value(s) correctly before moving onto to…

## Translating Verbal Phrases Into Variable Expressions Example 1

Here is an example of how to translate a verbal phrases into a variable phrase. Remember to read the lesson on this topic. Basic steps to follow: 1. Translate the phases by breaking the phrases into sections 2. Know key phrases like “a number” means a variable or “increased by”…

## Order Of Operations Example 1

Here is an example of how to use the order of operations. Remember to read the lesson on this topic. Basic steps to follow: 1. First know the meaning of PEMDAS- Parentheses, Exponents(powers), Multiplication, Division, Addition, Subtraction 2. Always start inside of parentheses working from the inside out and left…

## Basic Number Operations Example 1

Here is an example of how to perform basic number operations. Remember to read the lesson on this topic. Basic steps to follow: 1. Determine what operation you are being asked to perform 2. Product means multiply; quotient means division; sum means add; difference means subtraction 3. Perform the operation-…

## Two Variable Inequality Example 1

Here is an example of how to solve and graph a two variable inequality. Remember to read the lesson on this topic. Basic steps to follow: 1. First graph the line of the inequality; pay special attention to your line < and > will be dashed lines and ≤ ≥ lines will…

## Linear Inequality Example 1

Here is an example of how to solve and graph a linear inequality. Remember to read the lesson on this topic. Basic steps to follow: 1. Solve for the variable just as you would in an equation 2. If you multiply or divide by a negative number you need to…

## Compound Inequality Example 1

Here is an example of how to solve and graph a compound inequality. Remember to read the lesson on this topic. Basic steps to follow: 1. Solve for the variable in the middle of the inequalities 2. Be careful to reverse inequality signs if you multiply or divide by a…

## Sketch The Solution To An Inequality Example 1

Here is an example of how to graph a the solution of an inequality. Remember to read the lesson on this topic. Basic steps to follow: 1. Draw a circle at the number 2. Fill the circle in if the solution is ≤ ≥ if the solution is < or > leave…

## Graph A Line With Two Variables Example 1

Here is an example of how to graph a line with two variables. Remember to read the lesson on this topic. Basic steps to follow: 1. Not one way to approach these problems; generally you want to place the equation into y=mx + b form and graph 2. Another way…

## Find The Slope Given Two Points Example 1

Here is an example of how to find the slope. Remember to read the lesson on this topic. Basic steps to follow: 1. First know the slope formula 2. When plugging in your values make sure they are done in the correct way; order does make a difference 3. Simplify…

## Graphing One Variable Lines Example 1

Here is an example of how to graph a one variable line. Remember to read the lesson on this topic. Basic steps to follow: 1. Lines that are x= a number are vertical though the point (x, 0) 2. Lines that are y= a number are horizontal through the point…

## Function Operations Example 1

Here is an example of function operations. Remember to read the lesson on this topic. Basic steps to follow: 1. Function operations is when you add, subtract, multiply or divide functions- you can also have any number of combinations of operations applied to one or more functions 2. Apply the…

## Linear And Non-Linear Functions Example 1

Here is an example of the graph of a non-linear function. Remember to read the lesson on this topic. Basic steps to follow: 1. First identify what type of function you have- example, exponential, log, trig, linear, etc 2. If asked to graph the function sketch the basic graph with…

## Find The Inverse Function Example 1

Here is an example of how to find the inverse function. Remember to read the lesson on this topic. Basic steps to follow: 1. First switch the x and y variables in the equation; i.e. the x’s become y’s and the y’s become x’s 2. From the new equation above…

## Graphing Functions Example 1

Here is an example of how to graph a function. Remember to read the lesson on this topic. Basic steps to follow: 1. First understand that there are many different type of functions each with specific steps to graph 2. However we can take the basic shape of a function…

## Composite Functions Example 1

Here is an example of how to evaluate a composite function. Remember to read the lesson on this topic. Basic steps to follow: 1. Make sure to understand the what is the main function; example f(g(x)) the f(x) function is the main function- another words you will be plugging in…

## Determine If A Relation Is A Function Example 1

Here is an example of how to determine if a relation is a function. Remember to read the lesson on this topic. Basic steps to follow: 1. If the relation is expressed as a set of ordered pairs look to see if each x value has only one y value-…

## Multiply And Divide Fractions Example 1

Here is an example of how to multiply and divide fractions. Remember to read the lesson on this topic. Basic steps to follow: 1. To multiply fractions just multiply respective numerators and denominators 2. To divide fractions flip the divisor (second fraction) this turns the problem into a multiplication problem…

## Find The LCD of A Fraction Example 1

Here is an example of how to find the LCD of fractions. Remember to read the lesson on this topic. Basic steps to follow: 1. First write out all the multiples of the respective denominators 2. Look for the lowest common multiple of the respective numbers 3. The LCM of…

## Write A Decimal As A Fraction Example 1

Here is an example of how to write a decimal as a fraction. Remember to read the lesson on this topic. Basic steps to follow: 1. First determine how many place holders the digits of the decimal cover- tenths, hundredths, thousandths? 2. Write a fraction with the numbers of the…

## Add and Subtract Fractions Example 1

Here is an example of how to add and subtract fractions. Remember to read the lesson on this topic. Basic steps to follow: 1. First determine if the denominators are common- i.e. the same 2. If the denominators are not common find the LCD and multiply each fraction such that…

## Fine The Equation Of A Line Given Two Points Example 1

Here is an example of how to find the equation of line given two points. Remember to read the lesson on this topic. Basic steps to follow: 1. First to find the equation of a line you need at least the slope and one point 2. Use the two points…

## Write The Equation Of A Line In Standard Form Example 1

Here is an example of how to write an equation of a line into standard form. Remember to read the lesson on this topic. Basic steps to follow: 1. First place the x and y variable terms on the left side of the equation; number term on right 2. Next…

## Graph A Line Using Slope-Intercept Example 1

Here is an example of how to graph a line using the slope-intercept equation. Remember to read the lesson on this topic. Basic steps to follow: 1. First make sure the equation is in y=mx + b form 2. Plot the y-intercept b 3. From the y-intercept use the slope…

## Find Line Equation Using The Point-Slope Formula Example 1

Here is an example of how to find the equation of a line using the point-slope formula. Remember to read the lesson on this topic. Basic steps to follow: 1. First you will need at least the slope and one point on the line; if you have only two points…

## Best Fitting Line (Scatter Plot) Example 1

Here is an example of how to find the best fitting line. Remember to read the lesson on this topic. Basic steps to follow: 1. Look at the trends of the points plotted and determine a line that would “best fit” the trend 2. Select two points off the “best…

## Two-Step Equations Example 1

Here is an example of how to solve a two-step equation. Remember to read the lesson on this topic. Basic steps to follow: 1. First understand how to solve one-step equations 2. Take a step to isolate the variable term 3. Solve the remaining one-step equation Equations-two-step-1 Important habits…

## One-Step Equations Example 1

Here is an example of how to solve a one-step equation. Remember to read the lesson on this topic. Basic steps to follow: 1. Look at the equation and think what step would need to be taken to isolate the variable 2. Take the step you identified above and do…

## Multi-Step Equations Example 2

Here is an example of how to solve a multi-step equation. Remember to read the lesson on this topic. Basic steps to follow: 1. Do any parts of the problem that require the distributive property; any place where there is parentheses 2. Combine like terms and simplify both sides 3.…

## Formula Equations Example 1

Here is an example of how to solve a formula equation. Remember to read the lesson on this topic. Basic steps to follow: 1. Isolate the variable to be solved for; this is only variable that you will treat as a “variable” during the equation solving process 2. Take steps…

## Absolute Value Inequality Example 1

Here is an example of how to solve an absolute value inequality. Remember to read the lesson on this topic. Basic steps to follow: 1. Isolate the absolute value function 2. Write a linear or compound inequality; in this step you will be dropping the absolute value 3. Solve the…

## Graph An Absolute Value Equation Example 1

Here is an example of how to graph an absolute value equation. Remember to read the lesson on this topic. Basic steps to follow: 1. Find the vertex (x,y) 2. Determine if the graph will be upward or downward 3. Determine how wide or narrow the V graph will be…

## Evaluate An Absolute Value Expression Example 1

Here is an example of how to evaluate an absolute value expression. Remember to read the lesson on this topic before you try the problem. I will give you some basic steps so if you are having problems with parts of the problem go back and review. For example in…

## Absolute Value Equation Example 1

Here is an example of how to solve an absolute value equation. Remember to read the lesson on absolute value equations as well. Basic steps to follow: 1. Isolate the absolute part of the equation- in this example the absolute value is isolated on the left side. 2. Set…