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High School Math AI Tutor
Mastering 102 Basic Math

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Introduction to AZ Math Standard

Algebra 1 Grade Standards (Updated 4.2.18)

Geometry Standards (Updated 4.2.18)

Algebra 2 Standards (Updated 4.2.18)

Plus Standards (Updated 5.2.18)

Quantitative Standards (Updated 9.7.18)

Precalculus-Fourth Credit HS Math (Updated 9.7.18)

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1. Sandra wrote the sequence below. Which equation represents the rule for finding the nth term of this sequence?

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2. A team has twelve 15-year-old players and eight 16-year-old players. The coach of the team is 43 years old. Which measure of central tendency best represents the ages of the team, including the coach and why?

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3. Which does not represent y as a function of x?

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4. Jessica deposits $300 into a savings account that pays an annual interest rate of 2% compounded twice a year. How much money will Jessica have in her account at the end of one year?

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5. A telephone company wants to create as many 7-digits phone number as possible without changing the first 3 digits. How many phnoe numbers can be created?

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6. How much greater is the volume of a cube when the length of each edge is multiplied by 3?

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7. The data below represents the scores for a soccer team in seven games. Which measure of central tendency best represents the overall performance of the soccer team, and why?

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8. Look at the recursive formula. What are the first 4 terms of this sequence?

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9. Which point on the number line shows the best estimate of the irrational number below?

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10. What is the value of x?

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11. Figure EFGH has a perimeter of 40 cm and an area of 96 cm2. It is dilated by a factor of 1/4 to create figure E'F'G'H'. What statement about the perimeter (p) and the area (A) of figure E'F'G'H' is true?

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12. The area of a larger square is 16 times the area of a smaller square. How many time as long is the base of the larger square than the base of the smaller square?

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13. What is the distance between -4 and 3 ?

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14. Six differently colored balls (red, blue, green, orange, purple, and white) are placed in a basket. Without looking, three balls are removed. What is the total number of combinations that include a red ball?

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15. Which pair of events is dependent?

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16. Which statement has a false inverse?

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17. Joe has the following information about a trapezoid. Which equation can Joe write to find the unknown base length, b2 for the trapezoid?

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18. The coordinates (2,2) and (-3,1) are two of the vertices of the figure on the coordinate plane. What are the coordinates of the midpoint of the two vertices?

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19. Debbie and Jamal each performed an experiment in which they spun a fair spinner 12 times. They recorded their results. What outcome has a probability of 0?

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20. Look at the 3-dimensional figure. What is the total surface area of the figure?

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21. Look at the triangle. What is not a possible value of x ?

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22. Chords NP and MQ intersect at point S in circle R. If MS = 3, NS = 2, and SQ = 8, What is the lenght of SP ?

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23. Look at circle M. What is the value of x ?

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24. Which table represents y as a function of x ?

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25. What is the graph of the equation? y= x² -4x + 4

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26. What are the values of x in the equation shown?

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27. The table shows a sequence of figures, the number of squares in each figure, and the perimenter of each figure. Based on the pattern shown, which conjecture is valid?

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28. Triangle PQR is shown. What are the coordinates of P' when △ PQR is dilated by a scale factor of 3 using the origin as the center?

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29. What is the value of the expression?

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30. What is the solution to the equation shown?

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31. What is the complete factorization of the polynomial shown?

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32. Look at the following equations. 8p = 12-2q and q + 4p = 6. Which statement is true about the lines graphed from the equations?

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33. Points N,P,R, and Q lie on circle O. In circle O, what is the measurement of angle PMN written mathematically as m∠PMN?

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34. In the diagram below, line segment RT intersects line segment QU at point S. Which postulate should be used to prove that
triangle ∆ RQS is congruent (approximately equal to) written mathematically ≅ triangle ∆ TUS?

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35. Assume the statement shown below is true."if P, then Q." based on this assumption, which of the following must be true?

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36. Look at the expression. -2a[-2a(-2a+4b) + 3b(-a-6)]. Which of the following correctly simplifies the expression?

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37. The statements below are out of order.

Statement W: If blitz, then kerd.
Statement X: If mot, then det.
Statement Y: If kerd, then mot.
Statement Z: If toc, then blitz.

Which list shows the if...then statements in logical order?

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38. Janelle's cell phone company charges a monthly fixed rate for the first 1,000 minutes, and then charges for each additional minute. Which graph best represents Janelle's monthly cell phone plan?

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39. What are the y-intercept and the slope of the graph of the following equation?

- 2x + 4y = 8

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40. Which of the following best represents the graph of the inequality y < ½ x + 3 ?

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41. Which pair of figures is structurally similar?

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42. Points (-1,8) and (3,5) lie on a coordinate plane. What is the distance between the two points?

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43. What is the distance between points M(3,1) and N(-2,4) on the graph below?

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44. Which set of numbers represent an infinite set?

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45. Earth's mean temperature is 59°F, and it is 9.3 x10⁷ miles from the sun. Mar's mean temperature is -85° F, and it is 141.6 x 10⁶ miles from the sun. Which matrix represents these data?

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46. Which statement has a true converse?

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47. Trapezoid JKLM is shown below. What is the length of KM?

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48. Study ∆ RST on the grid below. When ∆ RST is translated 4 units down, what are the apparent coordinates of T'.

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49. The coach wants to introduce each of the starting players at Tuesday's game in how many different order can each of the the 5 starting players be introduced?

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50. Which equation represents the data in the table?

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51. Which expression is the nth term of the quadratic sequence shown in the table below?

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52. A committee consisting of 5 teachers will be chosen from a staff of 25 teachers. To find the number of different possible 5-teacher committees, which should be used?

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53. Bob created a number pattern beginning with 3. He created the next term by doubling the previous term and subtracting 1. The first 5 terms of the number pattern are shown below.

3, 5, 9, 17, 33, . . .

What is the 7th term in Bob's number pattern?

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54. What is the value of the expression below

a² + |ab| when a = -4 and b = 3 ?

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55. Which could be the graph of the equation below?

y = 1/3 x - 2

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56. Student council members plan to sell shaved-ice cones to raise funds. They will spend $200.00 for supplies and whill charge $1.00 for each shaved-ice cone. Which graph represents P, their profit, as a function of n, the number of cones sold?

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57. A polygon has been rotated about the origin. Which statement must be true?

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58. Study the triangle below. What is the cosine of ∠X?

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59. Which is the graph of y = x² + 2 ?

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60. Which is the apparent graph of y = 2/3 x - 4 ?

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61. The formula for the lateral area of a pyramid is A = 1/2 pl. What is p in terms of A and l ?

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62. The rule for a particular number pattern is to multiply the immediately preceding term by 2 then add 1. The first four terms of this number pattern are given below.

-2, -3, -5, -9, . . .

What is the 6th term of the number pattern?

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63. What is the apparent solution to the system of equations graphed below?

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64. Three transformation will be performed on triangle ∆ ABC. Which set of transformation

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65. The stem-and-leaf plot below shows test scores for 25 students. Which box-and-whisker plot correctly displays the data in the stem-and-leaf plot?

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66. Study the proportion below.

What value of x makes the proportion true?

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67. A teacher must select 2 students from a list of 4 students. How many distinct groups of 2 students are possible?

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68. Study the quadratic equation below.

2x² + 3x - 20 = 0

Which of the following shows two solutions to the equation?

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69. Which of the following does not show a close approximation?

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70. Jan proved that the two triangles below are congruent. Which postulate did Jan use for her proof?

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71. The table below shows information about the members of a concert choir at a high school. Which of the following graphs best describes the choir's membership data?

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72. What is the value of x in the figure below?

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73. The number cube shown is numbered 1 through 6 on its faces. When the cube is tossed once, what is the probability a number divisible by three will be on the top face?

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74. Let n be any even integer. Which of the following is always true about (n + 5) ?

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75. Points A, B, and C lie on circle M, as shown below. What is the measure of ∠ BMC if the measure of arc BAC is 320° ?

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76. XYZ is translated 3 units to the right and 2 units down. What will be the apparent coordinates of the image of point X?

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77. Which of the following are inverse operation?

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78. The diagram below shows a building, a nearby flagpole, and their shadows. Based on the information in the diagram, what is x, the length of the shadow of the building?

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79. In the pattern below, each term is found by doubling immediately the preceding term and adding 1

3, 7, 15, 31, 63, . . .

What is the 7th term in the pattern?

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80. Based on the diagram below, which of these arguments is valid?

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81. Which statement is true?

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82. Which expression below has been simplified using the correct procedure?

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83. Which procedure correctly simplifies the expression below?

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84. Which of the graphs below contains a line of best fit that best represents the data?

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85. The table below shows the percentage of the most popular colors of sports cars made during 2002. Which component causes the data to seem distorted?

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86. Sam began a pattern with 4 and 7. He added them to get 11, the third term. To get each term after the third, he added the two preceding terms.

4, 7, 11, 18, 29, . . .

What is the 9th term in this sequence?

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87. The set of real numbers shown below is a subset of which of the following?

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88. Triangle ∆ ABC is show below. What is the cosine of angle B?

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89. A 4th degree polynomial expression has the form shown below. In the expression

5x⁴ - 7x³ - 3x² + 8x - 4, what is the value of a₃?

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90. The formula for the surface area of a cube is A = 6s².

What is the formula for s in terms of A?

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91. The graph below shows the percent of the moon's face illuminated for the month of April. On What day in April did the moon reach its maximum illumination?

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92. Which is a correct procedure for solving the linear inequality below?

2y + 8 > 4 - 6y

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93. Which of the following function of x has the apparent range of { y: y ≥ 0} ?

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94. The Palmdale High School varsity basketball team's total points per game for this year's season is shown below.

Which stem-and-leaf plot could be used to correctly display the data?

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95. If b ≠ 0, which equation is equivalent to the one shown below?

ax + by = c

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96. If the sum of the measures of two angles is 90°, then the angles are complementary. In the triangle ABC, m∠A = 25°, m∠B = 65° , m∠C = 90°

Which valid conclusion follows directly from the previous statements?

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97. What is the solution to the inequality below?

-3x-1 ≤ 5

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98. The first two terms in a sequence are shown below. Each term after the first is found by rotating the arrow 45° clockwise. What will be the 7th term in the sequence?

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99. In a cafeteria survey, 300 students chose one favorite lunch from 4 choices. The probability that a randomly selected student chose pizza was 0.25. Which data set support this conclusion?

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100. Which rule could be used to find each term, after the second, in the recursive sequence shown below?

2, 3, 6, 18, 108, . . .

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101. In the diagram below BP ≅ PK and AP ≅ PJ What additional information is sufficient to prove ∆ APB ≅ ∆ JPK by side-angle-side (SAS) ?

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102. A pattern is defined by the following rules. The first term is 4. The second term is 7. Each term after the second is found by adding 3 to the immediately preceding term. What is the fifth term in this pattern?

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