PPT-7.1 Writing Equations in One Variable

LEQ How does rewriting a word problem help you solve the word problem Original Your minivan has a flat rectangular space in back When you fold down the rear seats of the van then move them forward the rectangular space in the van increased by 2 feet How many square feet does the area of the rectangular space have when the rear seats are folded and moved forward . 4 Di64256erence Equations At this point almost all of our sequences have had explicit formulas for their terms That is we have looked mainly at sequences for which we could write the th term as for some known function For example if 1 3 then i A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 57513 2003 HighScope Educational Research Foundation 21 Language and Literacy Language and Literacy Language and Literacy Circle one Item Q R S T U V W X Circle one Level 12345 Date Observer Circ using Elimination. Steps:. 1. Place both equations in Standard Form, A. x . + B. y . = C.. 2. Determine which variable to eliminate with Addition or Subtraction.. 3. Solve for the variable left.. Summary. Independent. The equations of a linear system are . independent. if . none. of the equations can be derived algebraically from the others. . Independence. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set. . Hands-On Algebra with Fractions and Mixed Numbers. Connecting to Algebra . When you hear the word “algebra”, what do you think of?. What are some things you know about algebra?. How might you use algebra in real-life?. Substitution and Elimination. Elimination. Arrange the equations in STANDARD FORM. . . Your goal is to find a way to eliminate one of the variables so you can solve a one-variable equation.. . If you read from left to right . 10 . “is greater than “ . 5. . X. If you read from right to left . 5. . “is less than “ . 10. . X. If you read from left to right . 5. . “is less than “ . Problem 1. There are 25 toys in a playground. . The toys are either bicycles (2 wheels) or tricycles (3 wheels). . In total in the playground there are 61 wheels. . How many bicycles are in the playground?. Mathematical Language. A . solution. of an equation is a number that make the equation true. 3x+2=17. To . solve. an equation means to find all its solution. Two equations are equivalent if they have the same solutions. Standards 8-10. Graphs of Quadratic Functions . U- Shaped Graph . Vertical y=x. 2. or Horizontal x=y. 2. Positive Negative . Summary: The of a Quadratic Function is U shaped. . Positve. Introduction. This chapter gives you several methods which can be used to solve complicated equations to given levels of accuracy. These are similar to methods which computers and calculators will use, and hence can be used in computer programming. KINEMATICS EQUATIONS. For uniform acceleration:. 1.. . 2.. . 3. . 4. . 5. .  . Tips:. The set of 5 equations utilizes 5 kinematic variables (displacement, both velocities, acceleration and time). Activity 13. Pick up a Notecard and write your . NAME. and . PERIOD. Title Notecard: . GOALS. Answer the following questions:. 1. What do I want to improve upon this six weeks in math class?. 2. How can I make sure I accomplish this goal?. Net ionic equations are useful in that they show only those chemical species directly . participating in . a chemical . reaction. The keys to being . able to . write net ionic equations are the ability to recognize monatomic and polyatomic ions, .