Algebra 1a Final Exam Review

ane. Which of the post-obit is a solution set to 10 ² - 12 = 510 + 2?

2. Solve for y in iiy + five = - 3y - 10.

3. Which holding is illustrated in the following:
y = fivex and 5x = 3. Thus, y = 3.

4. Meredith and Molly go shopping. Meredith buys a shirt for $10 and two pairs of pants for $x each. She has $fifteen left over. Molly buys a dress for $50 and 2 packs of cards. If Molly started with $xx more than Meredith, and if Molly spent all her money, how much does i pack of cards cost?

5. Tobin rows ii miles per hr faster than her opponent. If it takes Tobin 30 minutes to end a race, and information technology takes her opponent 45 minutes to terminate the same race, how fast does Tobin row?

half dozen. Greg receives the following scores on his math tests: {xc, 83, 78, 95}. What is the minimum score he needs on the last math test in lodge to get an 85 average in the class?

7. Solve for x in iiiten + ii≤ - ten - 2.

8. What inequality does the following graph represent?

ix. Solve for y in - y + half dozen < - 4y .

10. Name all the members of set A :

• A = {one, 2, 9}
• A = { -1, 0, 1, ii, 9}
• A = { -12, 1, 2, 3, 5, 8, ix}
• A = { -12, -1, 0, 1, 2, 3, five, 8, 9}

xi. If P = {2, 3, 0, 8, vii, -1} and Q = {0, 1, six, 8, -three, -2}, what is Q∩P ?

• Q∩P = {2, three, 0, 8, vii, -1, 0, 1, 6, eight, -3, -2}
• Q∩P = { -three, -2, -1, 0, 1, 2, 3, 6, 7, eight}
• Q∩P = { -3, -two, 0, 2, iii, eight}
• Q∩P = {0, eight}

12. What inequality does the following graph correspond?

13. Compute 3×| 4 - v|×| 15| - | - 2|.

xiv. Solve for x in -4| x - three| = - 16.

15. Solve for y in half dozen - | - 3y + 1| = 8.

16. If Marsha grabs one shirt from a drawer containing 2 white shirts, 6 black shirts, and 8 striped shirts, what is the probability that she will grab a black shirt?

17. What is the probability of an event if the probability of its complement is ?

18. The mean of {v, 6x - 1, 12, and - 2} is viii. What is x ?

19. The median of {2, 3, half dozen, x, 11, -ii} is four.v. Which of the following numbers could exist a value of ten ?

xx. The style of {two, 8, 9, eight, 4, 4, 8, ten} is 8. Which of the following could not exist a value of x ?

21. Which of the following ordered pairs (x, y) is a solution to xy = iiix - 9?

22. Which of the post-obit could be a graph of y - 3 = 2x ?

23. What is the x -intercept of y - half dozen = 3(ten + 2)?

24. What is the slope of the line that passes through (- two, 4) and (seven, 1)?

25. What is the slope of the line given by the equation half dozeny - 3x = 12?

26. Which equation describes the following graph?

27. What is y - 4 = (x - two) in full general linear form?

28. What is 410 - iiiy = 8 in slope-intercept from?

29. If y varies straight equally 10 , and y = vi when x = 9, which of the following equations describes this variation?

30. If y varies directly every bit x , and y = vii when x = 14, what is ten when y = 18?

31. If y varies inversely as x , and y = 4 when x = two, which of the following equations describes the variation?

32. Solve the following organisation of equations for (x, y):

33. Solve the post-obit system of equations for (ten, y):

34. Which statement is true about the system:

4y - 5x	=	16
y	=	+ 4

35. Which of the following is an inconsistent organization?

36. Simplify and rationalize the denominator:

38. Simplify .

39. Simplify (x ²)(4x) + (- vix ²)ⁱⁱⁱ - .

40. Write the answer in scientific notation: 4.5×10^one7 - 5.6×10^ane6

41. Write the answer in scientific notation: (3.0×10^five)×(ane.five×ten^-nine)

42. Write the answer in scientific notation: (7.5×10^-6)÷(2.five×10^-3)

43. What is the degree of the polynomial -fivex ^six y ^two +2ten ⁷ +iiix ² + xyz ⁵ ?

44. Simplify 5ten ² y(- 310 - iixy + 10 ⁱⁱ y).

45. Multiply and simplify: (fourten - three)(- 210 + i)

46. Factor x ² - 10x - 24.

47. Solve for 10 in x ² + 6x + nine = 0.

48. Solve for 10 in 1210 ² - x - 2 = 0.

49. How many times does the graph of y = - 5ten ² + 610 - ii cross the 10 -axis?

50. Complete the square in the equation y = eightten ⁱⁱ + 8x + 1.

Algebra 1a Final Exam Review,

Source: https://www.sparknotes.com/math/algebra1/review/quiz/

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