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❶Estimating Sums and Differences of Decimals

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Expression Equation Inequality Contact us. Math solver on your site. Thousands of users are using our software to conquer their algebra homework. Here are some of their experiences: Jason Padrew, TX As a mother of a son with a learning disability, I was astounded to see his progress with your software. Arithmetic Operations with Numerical Fractions. Multiplying a Polynomial by a Monomial. Solving Systems of Equations Using Substitution.

Writing Fractions as Percents. Using Patterns to Multiply Two Binomials. Adding and Subtracting Fractions. Solving Systems of Equations -. Multiplication can Increase or Decrease a Number. Simplification of Expressions Containing only Monomials.

Multiplying and Dividing Fractions. Finding the Coordinates of a Point. Solving Equations by Factoring. Slope of a Line. Reducing Rational Expressions to Lowest Terms. Standard Form for the Equation of a Line.

Raising a Product to a Power. Solving Inequalities with Fractions and Parentheses. Solve Systems of Equations by Substitution. Solve Systems of Equations Graphically. Solving Single-Step Inequalities by Multiplication. Solving Single-Step Inequalities by Division. Quadratic Formula or Quadratic Equation.

Graphical Solutions of Quadratic Equations How the solutions of a quadratic equation is related to the graph of the quadratic function, how to use the graphical method to solve quadratic equations. Slope of a Line Slope of line from the graph rise over run , using the slope formula, negative slope, y-intercept. Equation of a Line Slope-intercept form for the equation of a line, how to write equations in slope-intercept form, how to write equations of horizontal and vertical lines, how to get the equation of a line given two points on the line.

Forms of Linear Equations Slope-intercept form, the point-slope form, the general form, the standard form, how to convert between the different forms of linear equations. Graphing Linear Equations How to graph linear equations by plotting points, how to graph linear equations by finding the x -intercept and y -intercept, how to graph linear equations using the slope and y -intercept.

Slope and Intercept of a Linear Equation How to graph a linear equation when the equation is given in slope-intercept form or when the equation is given in general form. Explore the straight line graph Activity to investigate how the change of the slope and y -intercept can affect the straight line graph. Equation of a Line Parallel to the X-axis or Y-axis. Slopes of Parallel and Perpendicular Lines How to determine if two lines are parallel or perpendicular when given their slopes, how to find the equation of a line given a point on the line and a line that is parallel or perpendicular to it, how to find parallel or perpendicular lines using Standard Form.

Midpoint Formula Midpoint formula, how to find the midpoint given two endpoints, how to find one endpoint given the midpoint and another endpoint, how to proof the midpoint formula. Distance Formula How to derive the distance formula from the Pythagorean Theorem, how to use the distance formula. Graphing Linear Inequalities Graph of linear inequalities, how to graph linear inequalities, how to graph systems of linear inequalities.

Linear Programming Linear programming, how to use linear programming to solve word problems. Quadratic Functions Different forms of quadratic functions, general form, factored form, vertex form, convert from general form to factored form, convert from the general form to the vertex form using the vertex formula, convert from the general form to the vertex form using completing the square.

Graphing Exponential Functions How to graph exponential functions by plotting points, the characteristics of exponential functions, how to use transformations to graph an exponential function. Graphing Reciprocal Functions How to graph reciprocal functions by plotting points, the characteristics of graphs of reciprocal functions, how to use transformations to graph a reciprocal function, how to get the equation of a reciprocal function when given its graph.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. Basic Algebra An introduction to Algebra.

Adding and Subtracting Expressions. Multiplying and Dividing Expressions. Multiplying Expressions or Expanding Expressions. FOIL Method used to distribute two binomials. Isolate the Variable Transposition. Solving Equations with Absolute Values. Solving for a Variable in a Formula.

Inequalities and the Number Line. Difference of Two Squares. Coefficient of x 2 is 1. First, note that nothing inside the parentheses can be simplified. They all involve addition or subtraction with different variables.

In this lesson, we practiced simplifying algebraic expressions. We became experts at combining like terms and utilizing the distributive property. With these methods, we made long, complicated expressions much simpler and easier to understand.

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Select a subject to preview related courses: Lesson Summary In this lesson, we practiced simplifying algebraic expressions. Learning Outcomes Once this lesson is completed, you should be able to confidently: Work through algebraic expressions Combine like terms Use the distributive property. Unlock Your Education See for yourself why 30 million people use Study. Become a Member Already a member? Earning College Credit Did you know… We have over college courses that prepare you to earn credit by exam that is accepted by over 1, colleges and universities.


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This is intended for low ability students or those that are new to the topic of simplifying expressions. The worksheet asks students to simplify expressions which include only one variable.

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In this lesson, we'll practice simplifying a variety of algebraic expressions. We'll use two key concepts, combining like terms and the distributive property, to help us simplify. Learn how to simplify algebraic expressions by combining like terms. The expressions in this video have decimal and fraction coefficients.

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We've learned about order of operations and combining like terms. Let's layer the distributive property on top of this. Before you evaluate an algebraic expression, you need to simplify it. This will make all your calculations much easier. Here are the basic steps to follow to simplify an algebraic expression.