1 / 17

Chapter 12

Chapter 12. Equations and functions BY: MILES JUSTIS AND CAMERON WILLIAMS. Word review chapter 12. Evaluate: You evaluate an expression by finding it’s value. To make sure everyone gets the same result, mathematicians use the order of operations.

juro
Télécharger la présentation

Chapter 12

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. Chapter 12 Equations and functions BY: MILES JUSTIS AND CAMERON WILLIAMS

  2. Word review chapter 12 • Evaluate: You evaluate an expression by finding it’s value. To make sure everyone gets the same result, mathematicians use the order of operations. • Variable: A variable is a symbol, usually a letter that represents one or more numbers. • Variable Expression: A variable expression substitutes a number for each variable and evaluates the numeral expression. • Equation: An equation is a mathematical sentence is formed by placing an equal sign between two expressions. • Solution: A solution of an equation is a number when substituted for a variable, makes the equation true.

  3. Prerequisite skills/pemdas • Evaluate the expression then tell whether the given number is a solution of the • equation. • (Evaluate the expression means to solve the equation.) • Evaluate: • 3+9x10= 9x10 = 90 + 3 = 93 • Tell whether the number is a solution of the problem • 6+x=19; 11

  4. Vocabulary 12.1 A variable expression substitutes a number for each variable and evaluates the numeral expression. • Variable expression: • Equation: An equation is a mathematical sentence is formed by placing an equal sign between two expressions.

  5. example • Write the phrase as a variable expression. • Phrase Expression • 3pieces added to x pieces in the art show 3=x • The sum of 4 and a number n 4+n • The difference of 12 and a number x 12-x • 9 fewer than the number of boys b b-9

  6. Writing expressions and equations • Addition: Plus the sum of increased by total added to more than • Subtraction: Minus the difference of decreased by fewer than subtract from • Multiplication: Times the product of multiplied by of twice • Division: Divided by the quotient of separate into equal parts

  7. Reviewing Content • You will write variable expressions and equations. • To solve a variable expression is to read the phrase then answer it.

  8. Lesson 2 Solving addition equations vol. • Variable: • Solution: • Solve: To solve an equation, you find all the solutions of the equation .To solve simple equations using mental math, you can think of the equation as a question A variable is a symbol, usually a letter that represents one or more numbers A solution of an equation is a number when substituted for a variable, makes the equation true.

  9. Solving addition equation • Step 1: Represent the equation using algebra tiles • Step 2: Take away two 1 tiles from each side • Step3: The remaining tiles show that the value of x is 2 • EXAMPLE • x + 2 = • +

  10. Vocabulary 12.3 A variable is a symbol, usually a letter that represents one or more numbers. • Variable: • Solution: • Solve: To solve an equation, you find all the solutions of the equation. A solution of an equation is a number when substituted for a variable, makes the equation true.

  11. Solving subtraction equations 12.3 • Step 1: You have to find out what x or y or any letter that’s there and see what that letter equals. • Step 2: You subtract or add however much you need to. • Step 3: then you look at the equation you just solved and you are done. • EXAMPLE: • After giving away two conch shells to find the value x you had before • subtracting 2, you can add 2to undo • the subtraction. • You have 5 conch shells. • x – 2= 5

  12. Vocabulary 12.4 A variable is a symbol, usually a letter that represents one or more numbers • Variable: • Solution: • Solve: A solution of an equation is a number when substituted for a variable, makes the equation true. To solve an equation, you find all the solutions of the equation .To solve simple equations using mental math, you can think of the equation as a question

  13. Solving multiplication and division equations 12.4 • Step1 : Use algebra tiles to represent the equation 2x= 6 • Step2: Divide the x-tiles into two equal groups. Divide the 1-tiles into the same number of equal groups. • Step3: Match a group on the left with a group on the right. • Example: • Solve the equation 5x=20. • 5x=20 Write the original equation • 5x/5=20/5 Divide each side by 5. • X=4 simplify

  14. Vocabulary 12.5 • Function: A function Is a pairing of each number in one set with a number in a second set. • Input and output: Starting with a number in the first set, called an input the function pairs it with exactly one number in the second set called an output.

  15. Functions 12.5 • Step 1: to solve the problem above about giant pandas , you can make an input and output table. • Step 2:Use the function rule p=30d, where d is the number of days ( input ) and p is the pounds of bamboo eaten ( output ) • p= 30 = 30 • P= 30 =60 • P= 30 = 90 bamboo eaten • p= 30 =120 • p= 30 =150

  16. Vocabulary 12.6 • Linear function: a linear function is a function whose graph is a straight line.

  17. Graphing Functions 12.6 • Step 1: Make an input- output table for the function y= 15x • Step 2: Write the input and output values as ordered pairs: (input, output). • (0,0), (1,15), (2,30), (3,45) • Step 3: Graph the ordered pairs. • Step 4: Draw a line through through the points. • That was the example and the lessons for chapter 12

More Related