Review

Name _______________________________ Period ______



Chapter 2 Regular Review



Find a pattern for each sequence. Use inductive reasoning to show the next two terms.



1. 12, 17, 22, 27, 32, . . . 2. 5000, 1000, 200, 40, . . .



3. 3, 5, 9, 15, 23 . . . 4. 1, 4, 9, 16, 25, . . .





Draw the next figure in each sequence.

5.









If the given statement is not in if-then form, rewrite it. Write the converse, inverse, and contrapositive of each

conditional statement. Determine the truth value of each statement. If a statement is false, give a counterexample.



6. If 3x − 7 = 20, then x = 9.









7. Baseball players are athletes.









8. The product of two even numbers is even.









For Exercises 9 & 10, identify the hypothesis and conclusion of each conditional.



9. If you can predict the future, then you can control the future.







10. If Dan is nearsighted, then Dan needs glasses.

For each of the statements, write the conditional form and then the converse of the conditional. If the converse is

true, combine the statements as a biconditional.



11. The number one is the smallest positive square.









12. Rectangles have four sides.









13. High school graduates have passed Algebra 1.









14. Three points on the same line are collinear.









Find the value of x.



15. 16. 17. m2 = 8x  120, m3 = 4x + 32

18. Based on the pattern, make a conjecture about the sum of the first 20 positive odd numbers.



1 = 1 = 1·1

1+3 = 4 = 2·2

1+3+5 = 9 = 3·3

1+3+5+7 = 16 = 4·4

1 + 3 + 5 + 7 + 9 = 25 = 5·5





Name the property of equality that justifies each statement.

19. If mC= mD, then mD = mC 19. ______________________



20. If 3x = 24, then x = 8 20. ______________________



21. If AB = CD, then AB+ JK = CD + JK 21. ______________________



22. If PQ = RS, and RS = TU, then PQ = TU 22. ______________________



23. If 5(x+7), then 5x + 35 23. ______________________



24. If GH = VW, then 5GH = 5VW 24. ______________________



25. If x = y + 5 and x = 3, then 3 = y + 5 25. ______________________



26. XY=XY 26. ______________________







Prove that if 7(x-4) = 62 + x, then x = 15



Given: 7(x-4) = 62 + x

Prove : x = 15



Statements Reasons____________