1 / 4

Solving Multi-Step Equations

Solving Multi-Step Equations. The four properties of equality can be used as many times as needed to isolate the variable in an equation Simplify both sides of the equation by applying the distributive property and combining like terms as needed

herne
Télécharger la présentation

Solving Multi-Step Equations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Solving Multi-Step Equations • The four properties of equality can be used as many times as needed to isolate the variable in an equation • Simplify both sides of the equation by applying the distributive property and combining like terms as needed • For example: 3(4 + x) – x = 16 → 12 + 3x – x = 16 → 12 + 2x = 16 • Isolate theterm containing the variable by applying the addition or subtraction property of equality, if necessary • For example: 12 + 2x = 16 → 12 + 2x – 12 = 16 – 12 → 2x = 4 • Isolate the variable by applying the multiplication or division property of equality, if necessary • For example: 2x = 4 → 2x  2 = 4 2 → x = 2

  2. Solving Multi-Step Equations • Find the solution to each of these equations • When solving equations like the ones above, remember: • Distribute the negative sign to each term when multiplying • Dividing by a fraction is the same as multiplying by its reciprocal

  3. Solving Multi-Step Equations • Some equations can be solved more easily by using a few shortcuts • If all variables are inside a single set of parentheses, divide both sides of the equation by the other factor before using the distributive property • If the equation contains fractions, eliminate the fractions by multiplying both sides of the equation by the lowest common denominator

  4. Solving Word ProblemsUsing Equations • The key to solving word problems is identifying the given information and figuring out how to use it to get the requested information • First, identify any constants (numbers) in the original problem • Next, identify any unknown quantities and choose a variable or variables to stand for each one • If possible, draw a picture to illustrate the situation described in the problem • Look through the problem for any key words • Words that identify operations – sum, difference, product, quotient • Word that identify relationships – more than, increased by, less than, reduced by, each, twice, half, etc. • Identify any formulas appropriate to the problem such as perimeter, area, distance, Pythagorean theorem, consecutive integers, etc.

More Related