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Mental Math Equations in Math

Learn to solve equations mentally, including defining variables, finding solutions, and graphing solutions using a number line. Practice through examples and multiple-choice tests.

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Mental Math Equations in Math

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  1. Transparency 5 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 5-1b Objective Solve equations using mental math

  4. Example 5-1b Vocabulary Equation A sentence in math that contains an equal sign

  5. Example 5-1b Vocabulary Solution A number that makes the equation true

  6. Example 5-1b Vocabulary Solving an equation The process of finding a solution

  7. Example 5-1b Vocabulary Defining the variable To choose a variable to represent one of the unknowns

  8. Example 5-1b Math Symbols = is equal to ≠ is not equal to

  9. Lesson 5 Contents Example 1Solve an Equation Mentally Example 2Graph the Solution of an Equation Example 3Write an Equation to Solve a Problem Example 4Find a Solution of an Equation

  10. Solve mentally Example 5-1a Just because it says “mentally” there is still work to do Write equation THINK What number divided by 2 equals 3? 6 You know that 2  3 = 6, so try 6 as your solution Replace x with 6 1/4

  11. Solve mentally Example 5-1b Divide 6 by 2 6 Bring down = 3 3 3 = 3 This is a true statement so 3 is the solution Answer: The solution is 3 1/4

  12. Example 5-1b Solve mentally. Answer: 17 1/4

  13. Graph the solution of the equation Example 5-2a Write equation Remember: You solved this equation in example 2 and the solution was 6 Draw a number line that includes the solution 2/4

  14. Graph the solution of the equation Example 5-2a Plot 6 on the number line Answer: 2/4

  15. Graph the solution of the equation Example 5-2b Answer: 2/4

  16. Example 5-3a ENTERTAINMENTAn adult paid $18.50 for herself and two students to see a movie. If the two student tickets cost $11 together, what is the cost of the adult ticket? Let a represent the cost of an adult movie ticket. Variable The cost of one adult ticket plus two student tickets is $18.50. Words Two student tickets cost $11 Total cost is $18.50 Write Equation a + 11 = 18.50 3/4

  17. Example 5-3a ENTERTAINMENTAn adult paid $18.50 for herself and two students to see a movie. If the two student tickets cost $11 together, what is the cost of the adult ticket? Solve equation mentally a + 11 = 18.50 THINK What number added to 11 = 18.50 7.50 + 11 = 18.50 You know that 18.50 - 11 is 7.50, so try 7.50 as your solution Replace a with 7.50 3/4

  18. Example 5-3a ENTERTAINMENTAn adult paid $18.50 for herself and two students to see a movie. If the two student tickets cost $11 together, what is the cost of the adult ticket? Add 7.50 + 11 7.50 + 11 = 18.50 Bring down = 18.50 18.50 18.50 = 18.50 This is a true statement so 7.50 is the solution Answer: The cost of an adult movie ticket is $7.50. 3/4

  19. Example 5-3c ICE CREAMJulie spends $9.50 at the ice cream parlor. She buys a hot fudge sundae for herself and ice cream cones for each of the three friends who are with her. Find the cost of Julie’s sundae if the three ice cream cones together cost $6.30. Answer: $3.20 3/4

  20. MULTIPLE-CHOICE TEST ITEM What value of x is a solution of A5 B6 C7 D8 Example 5-4c 12 - x = 5 Write equation THINK What number subtracted from 12 equals 5 12 - 7 = 5 You know that 12 - 5 is 7, so try 7 as your solution Replace x with 7 4/4

  21. Example 5-4c MULTIPLE-CHOICE TEST ITEM What value of x is a solution of A5 B6 C7 D8 12 - 7 = 5 Subtract 7 from 12 Bring down = 5 5 5 = 5 This is a true statement so 7 is the solution Choose the correct multiple choice letter Answer: C 4/4

  22. Example 5-4c MULTIPLE-CHOICE TEST ITEM What value of x is a solution of A34 B35 C36 D9 * Answer: B 4/4

  23. End of Lesson 5 Assignment

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