Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Signal-flow graph wikipedia , lookup
Quadratic equation wikipedia , lookup
Cubic function wikipedia , lookup
Quartic function wikipedia , lookup
Elementary algebra wikipedia , lookup
History of algebra wikipedia , lookup
System of polynomial equations wikipedia , lookup
Name _________________________________ Class ____________ Date _________________ Solving Equation Problem Set Draw a picture to represent each situation. Label the unknown parts with variables and the known parts with their values. Solve the problem and write an equation to represent the situation. 1. Two friends pooled the tickets they won from playing video games to get a prize that requires 500 tickets. If one friend won 80 more tickets than the other friend, how many tickets did each friend win? Maintaining a Balance Solving Equations 2. There are 3900 workers in the three main buildings downtown. Twice as many people work in the largest building as in the smallest of the three. There are 500 more workers in the second-largest building than in the smallest building. How many workers are in each building? Vocabulary Match the property of equality with its definition. a. if a b, then a c b c b. if a b, then ac bc c. if a b, and , then d. if a b, then a c b c 3. Addition Property of Equality 5. Multiplication Property of Equality 4. Subtraction Property of Equality 6. Division Property of Equality Problem Set Determine what will balance one rectangle. Explain your solution. Then rewrite each representation as an equation. 7. 8. Solve each two-step equation. State the inverse operations, in the correct order of operations, you used to isolate the variable. Check your solution. 9. 3w174 Solve each riddle using equations. 10. What is a number that when you multiply it by 3 and subtract 12 from the product, you get 12? Problem Set 11. What is a number that when you multiply it by 4 and add 74 to the product, you get 90? Solve each equation using the Distributive Property. Problem Set Write a sentence to describe how to apply inverse operations to solve each equation. Then, solve the equation and verify your solution. 17. 18. 12. 19. 13. 20. Write an equation to represent each situation. Define your variables and solve the equation. 14. 15. Write an equation to represent each situation. Define your variables, solve the equation, and verify your solution. 21. At the Namaste Yoga Studio, the first two yoga classes you take are free with your registration fee of $15. Each class after that is $45. How many classes can you take for $1185? A list of possible solutions for each inequality is shown. Choose the solutions that make the inequality true. Then, list three additional solutions to the inequality. 16. Ms. Moderelli charges her piano students $40 per lesson plus a semester recital fee of $55. How many lessons did Jerry take if he paid a total of $695 for lessons this semester? 22. Solving in Big-Time Style Using Two-Step Equations Solve each inequality and then graph the solution. 23. 219x 6 24. 784x 6 25. x 38 59