Mid-year Review

1. If P and Q are independent events such that P(P)=0.16 and P(Q)=0.38, what is the probability that both P and Q will occur? 2. Your parents are buying a carpet. There are 5 texture choices and 12 color choices. How many possible outcomes exist for the carpet texture and color? 3. Using a standard deck of cards. What is the P (heart then club) if a card is selected and replaced, and then a second card is selected? 4. How would you write 0.000003234 in scientific notation? 5. A deadly bacteria measures 3.7 X 10 −3 inches. What is the standard form of the number?

6. A ladder is leaning against a wall. The bottom of the ladder is 8 feet from the wall and the ladder is 16 feet long. What is the distance from the ground to the top of the ladder? 7. Use the Pythagorean Theorem to solve for the missing side.

7m 10m

8. What are all the solutions of y 2 = 36? 9. Estimate the value of the positive square root:

10. Solve:

169

11. On the number line where you would locate 8 ? 1

2

12. Simplify:

3 12 ⋅ 15

4

5

53

13. Write a value for x that will make the expression irrational Number. 2 6⋅ 3+ 14. Simplify: 3

(2 x + 5)

an

15. Simplify the following expression. 53 ÷ 25 + 32 16.

What is 3( n − 4) when n=1

17. Simplify: 2-2(23) 18. What is the solution of x + 8 = 10 ? 19. Solve the equation: |x| -3 = 5 20. Solve for h: 3(9 +2 h) = -40 21. Solve the inequality 5 − x < 8 ? 22. The area of the rectangle is at most 21 square inches. Write an inequality that represents this situation 23. The universal set includes the whole numbers less than 20. Set C= {even numbers}. What is C’? 24. Is this equation a linear function? y² =-2x+10 25. Is this sequence arithmetic? 2,3,5,8,… 26. Write an equation that can be used to find the nth term in the sequence 2, 6, 10, 14,…? 27. Solve and graph the function. y= 1.5x+1 28. Does this set of ordered pairs represent a linear function? {(0,1), (1,2), (2,3), (3,4)} 29. If set B={prime numbers} and set C={2, 5, 8, 11, 14}, what is B IC ? 30. Write the function related to the arithmetic sequence found in the table below? Position in sequence 1 2 3 4 n Term 2 6 10 14 y