1. EIGHTH GRADE MATH FINAL REVIEW 2015

2. Evaluate each expression for the given values of the variables. 1. 6x + 9 for x = 3 2. x + 14 for x = 8 3. 4x + 3y for x = 2, y = 3 27 22 17

3. Evaluate each expression for the given values of the variables. 4. 1.6x – 2.9y for x = 19, y = 6 5. If n is the amount of money in a savings account, then the expression n + 0.03n can be used to find the amount in the account after it has earned interest for one year. Find the total in the account after one year if $500 is the initial amount. 13 $515

4. Write an algebraic expression for each word phrase. 6. 5 less than a number k 7. a number x divided by 11 8. 4 times the sum of n and 5 Write an algebraic expression to evaluate the word problem. 9. Karen buys n raffle tickets for $0.50 each. If she buys 13 of them, how much will they cost? k – 5 4(n + 5) 0.50n; $6.50 x 11

5. Determine which value of x is a solution of the equation. 10. x + 9 = 17; x = 6, 8, or 26 11. x – 3 = 18; x = 15, 18, or 21 Solve. 12. a + 4 = 22 8 21 a = 18

6. Solve. 13. n – 6 = 39 14. The price of your favorite cereal is now $4.25. In prior weeks the price was $3.69. Write and solve an equation to find n, the increase in the price of the cereal. n = 45 3.69 + n = 4.25; $0.56

7. Determine whether each ordered pair is a solution of y = 4x  7. 15. (2, 15) 16. (4, 9) yes no

8. 17. Use the given values to make a table of solutions. y = 4x  6 for x = 2, 4, 6, 8, and 10 x4x – 6y(x, y) 2 4(2)  6 2(2, 2) 4 4(4)  6 10(4, 10) 6 4(6)  6 18(6, 18) 8 4(8)  6 26(8, 26) 10 4(10)  6 34(10, 34)

9. What is the solution to the system of linear equations? 18. ANSWER (2, 1)

10. 19. Solve the linear system by graphing. What is the solution to the system of linear equations? ANSWER (–1, –1)

11. Find the sum or difference. 20. (3m 2 –2m+9) + (m 2 +2m – 4) 4m 2 +5 ANSWER 21. (– 4a 2 + 3a – 1) – (a 2 + 2a – 6) ANSWER –5a 2 + a + 5

12. 24. 5 4 ANSWER 0.9 ANSWER 625 23. 1.65 – a when a = 0.75 Evaluate the expression or power. 22. 13g when g = 7 ANSWER 91

13. ANSWER range : 1, 3, 5, 7 25. The domain of the function is 0, 3, 6 and 9. 3 2 y = x + 1 Make a table for the function. Identify the range of the function

14. 26. Write a rule for the function. ANSWER y = 1.5x

15. ANSWER Graph the function y = x + 2 with domain 2, 4, 6, and 8. 1 2 27

16. Write a rule for the function represented by the graph. Identify the domain and the function. 28 ANSWER y = – 1 2 x + 6; Domain : 0, 2, 4, 6, 8; Range : 2, 3, 4, 5, 6

17. Find the slope of the line that passes through the points 29. (12, – 1) and ( – 3, – 1) ANSWER 0 30. (–2, 6) and (4, –3) ANSWER 3 2 –

18. Evaluate f (x) = 8x – 4 when x = –3, 0, and 2. 31. ANSWER –28, –4, 12 Find the value of x so g (x) = –2x+ 1 has the value –3. 32 ANSWER 2

19. Evaluate f (x) = 8x – 4 when x = –3, 0, and 2. 33 ANSWER –28, –4, 12 Find the value of x so g (x) = –2x+ 1 has the value –3. 34 ANSWER 2

20. y = – 4x + 1 Write an equation of the line with a slope of – 4 and a y -intercept of 1. 35 Write an equation of the line that passes through the given points. (–9,1), (0, –8)36 ANSWER y = – x –8 ANSWER y = 3x + 6 (–4, –6), (0, 6)37

21. ANSWER y = – x + 3 (4, –1), m = –1 38 Write an equation of the line that passes through the given point with given slope. ANSWER y = 4x – 8 (2, 0), m = 4 39

22. 40. Tell whether x and y show a positive correlation, a negative correlation, or relatively no correlation. ANSWER negative correlation.