1 / 13

Objective: Solve literal equations for a specified variable Benchmark Number: MA.8.A.4.1

Objective: Solve literal equations for a specified variable Benchmark Number: MA.8.A.4.1 . Mrs. Doss 8th grade math class. What is a literal equation? . The process of solving a formula for a given variable is called "solving literal equations". One of the dictionary

chava
Download Presentation

Objective: Solve literal equations for a specified variable Benchmark Number: MA.8.A.4.1

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. Objective: Solve literal equations for a specified variable Benchmark Number: MA.8.A.4.1 Mrs. Doss 8th grade math class

  2. What is a literal equation? The process of solving a formula for a given variable is called "solving literal equations". One of the dictionary definitions of "literal" is "related to or being comprised of letters", and variables are sometimes referred to as literals. So "solving literal equations" is a fancy way of saying "taking an equation with lots of letters, and solving for one letter in particular.“ Literal equations are often used to solve real world problems. Such as…….

  3. Rules to solve literal equations • Simplifyeach side of the equation, if needed, by distributing or combining like terms. • Move the variable being solved for to one side of the equation by using the opposite operation of addition or subtraction. • Isolate the variable being solved for by itself by applying the opposite operation to each side. a. First, use the opposite operation of addition or subtraction to move any other constants or variables to the other side. b. Second, use the opposite operation of multiplication or division to eliminate the coefficient of the variable being solved for.

  4. Let’s solve the following literal equation:2x – 4y = 7 Solve for x Step One: Simplify: Ask yourself, “Do I need to combine any like terms on both sides of this literal equation? • Yes • No

  5. Let’s solve the following literal equation: 2x – 4y = 7 Solve for x Step Two: Next, to get x by itself; what do you need to move to both sides? a) Add 2x b) Subtract 2x c) Add 4y d) Subtract 4y

  6. 2x – 4y = 7 Solve for xThird, let’s use a “Do/Undo” chart to determine what to do next. Ask yourself……. • What do you need to do to isolate X? • What is the second thing? * Remember to follow the steps in the UNDO column to isolate the variable

  7. Solve for x 2x - 4y = 7 + 4y = + 4y 2x = 7 + 4y 2 = 2 x = 7 + 4y 2 * This fraction cannot be simplified because both terms in the numerator are not divisible by 2. • Draw the “River” • Add 4y to both sides • Simplify • Divide both sides by 2 • Does it simplify?

  8. Let’s solve the following literal equation:2x – 4y = 7 Solve for y Step One: Simplify: Ask yourself, “Do I need to combine any like terms on both sides of this literal equation? • Yes • No

  9. Let’s solve the following literal equation: 2x – 4y = 7 Solve for y Step Two: Next, to get x by itself; what do you need to move to both sides? a) Add 2x b) Subtract 2x c) Add 4y d) Subtract 4y

  10. 2x – 4y = 7 Solve for yThird, let’s use a “Do/Undo” chart to determine what to do next. Ask yourself……. • What do you need to do to isolate y? • What is the second thing? * Remember to follow the steps in the UNDO column to isolate the variable

  11. Solve for y 2x - 4y = 7 - 2x = - 2x -4y = 7 – 2x -4 = -4 y = 7 - 2x - 4 • Draw the “River” • Subtract 2x from both sides • Simplify • Divide both sides by -4 • Does it simplify? NO!!!!

  12. A thing is obviously mathematical after you see it so just remember…. Click here to watch video

More Related