STAAR EOC Algebra I — Practice Test 1

Polynomials & Factoring

Choose the best answer or type the correct number.

1. Add. (3x^2 + 5x − 7) + (2x^2 − 4x + 9)

2. Multiply. (2x − 3)(x + 4)

3. Factor completely. x^2 + 7x + 12

4. Factor completely. x^2 − 9

5. Subtract. (4x^2 − 6x) − (x^2 − 2x + 5)

6. One factor of x^2 − 5x − 14 is (x − 7). What is the larger of the two zeros (roots) of x^2 − 5x − 14 = 0? (Type an integer.)

7. Multiply. (x + 5)(x − 5)

Exponents & Radicals

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8. Simplify. x^3 · x^5

9. Simplify. (x^4)^2

10. Simplify. √48

11. Simplify. x^6 / x^2

12. Evaluate. 16^(1/2) (Type an integer.)

13. If f(x) = 2x + 3 and g(x) = x^2, what is the value of f(g(2))?

14. Simplify. (2x^2)^3

Slope & Linear Graphs

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15. What is the slope of the line that passes through (1, 2) and (5, 10)?

16. What is the slope of the line 2x + 3y = 12?

17. Which line is PARALLEL to the line y = 3x + 5?

18. What is the slope of a line PERPENDICULAR to y = 4x − 1?

19. What is the slope of the line through (−2, 5) and (4, −7)?

20. Rewrite 4x − 2y = 10 in slope-intercept form. What is the y-intercept?

21. A linear function has the table of values below. What is the slope (rate of change)?
x: 0, 2, 4, 6
y: 5, 11, 17, 23

Scatterplots & Linear Regression

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22. A scatterplot shows that as the number of hours of TV watched (x) increases, test score (y) tends to decrease. Which type of correlation does the scatterplot show?

23. The correlation coefficient for a data set is r = 0.92. Which statement BEST describes the data?

24. The line of best fit for a data set is y = 1.5x + 4. Use the model to predict y when x = 10.

25. Which value of r indicates the WEAKEST linear correlation?

26. A scatterplot shows points scattered randomly all over the coordinate plane with no clear pattern. Which BEST describes the relationship between x and y?

27. The line of best fit for a data set is y = −0.4x + 50. Use the model to predict y when x = 20. (Type an integer.)

28. The line of best fit for a data set is y = 2x + 3. What does the slope, 2, mean in context?

Linear Equations & Systems

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29. Solve. 3x + 7 = 22

30. Solve. 2(x − 4) = 10

31. What is the solution to the system? y = 2x + 1 and y = x + 4

32. Solve the system using elimination. x + y = 10 and x − y = 4

33. A taxi charges a flat fee of $3 plus $2 for every mile driven. If the total cost is $15, how many miles were driven?

34. Solve for x. 5x − 3 = 2x + 12 (Type an integer.)

35. Which ordered pair is a solution of y = 2x − 1?

Inequalities & Systems of Inequalities

Choose the best answer.

36. Solve. 3x − 5 < 10

37. Solve. −2x ≥ 8

38. Solve. 4x + 7 > 19

39. Which description matches the graph of y < 2x + 1?

40. Which description matches the graph of y ≥ x + 1?

41. Marisol has $50 to spend on books. Each book costs $8. If x represents the number of books she can buy, what is the GREATEST whole-number value of x that satisfies 8x ≤ 50?

42. Solve. 2(x − 1) ≤ 10

Quadratic Functions & Equations

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43. What is the vertex of the parabola y = (x − 3)^2 + 5?

44. What is the axis of symmetry of y = (x + 2)^2 − 4?

45. What are the roots of x^2 − 7x + 12 = 0?

46. Solve. x^2 − 25 = 0

47. Use any method to find the solutions of x^2 − 4x + 3 = 0.

48. A ball is launched upward, and its height in feet after t seconds is h(t) = −16t^2 + 80t. After how many seconds does the ball return to the ground (h = 0)? (Type an integer; ignore t = 0.)

49. Rewrite y = x^2 − 6x + 5 in vertex form. What is the vertex of the parabola?

Exponential Functions & Equations

Choose the best answer or type the correct number.

50. A function has the table below. Which BEST describes the function?
x: 0, 1, 2, 3
y: 2, 6, 18, 54

51. Marcus deposits $500 in an account that pays 5% annual interest, compounded yearly. Which expression gives the balance after 3 years?

52. The function y = 100(0.8)^x models exponential decay. What is the decay factor?

53. The function y = 200(1.04)^x represents the value of an investment after x years. What is the INITIAL value of the investment?

54. If y = 3(2)^x, what is the value of y when x = 4? (Type an integer.)

55. A colony of bacteria starts with 50 cells and DOUBLES every hour. Which equation models the population y after x hours?

56. A culture of bacteria starts with 100 cells and grows at a rate of 20% per hour. Which equation models the number of bacteria y after x hours?

Polynomials & Factoring

Exponents & Radicals

Slope & Linear Graphs

Scatterplots & Linear Regression

Linear Equations & Systems

Inequalities & Systems of Inequalities

Quadratic Functions & Equations

Exponential Functions & Equations

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