Administration



|GHSGT Math Practice Test 1 |

| |

|Choose the correct choice Name : ___________________ |

|1.  | |

|If GHIJ is a rhombus, and m[pic]GHI = 72°, what is the measure | |

|of [pic]1? | |

|[pic] | |

| | |

|[pic|[pic|72° |

|] |]A. | |

|[pic|[pic|90° |

|] |]B. | |

|[pic|[pic|36° |

|] |]C. | |

|[pic|[pic|54° |

|] |]D. | |

|2.  |

|The _____________ is the point of concurrency of the medians in a triangle. |

| |

|[pic|[pic|orthocenter |

|] |]A. | |

|[pic|[pic|circumcenter |

|] |]B. | |

|[pic|[pic|incenter |

|] |]C. | |

|[pic|[pic|centroid |

|] |]D. | |

|3.  |

|Quadrilateral ABCD has coordinates A(-3,7), B(1,4), C(-2,0), and D(-6,3). |

| |

|Quadrilateral EFGH has coordinates E(-2,-2), F(3,-2), G(3,-7), and H(-2,-7). |

| |

|Use coordinate geometry to determine if these two quadrilaterals are congruent. If they are not congruent, state the reason. |

| |

|[pic|[pic|The quadrilaterals are not congruent because corresponding sides are not congruent. |

|] |]A. | |

|[pic|[pic|The quadrilaterals are not congruent because corresponding angles are not congruent. |

|] |]B. | |

|[pic|[pic|The quadrilaterals are similar but they are not congruent. |

|] |]C. | |

|[pic|[pic|The quadrilaterals are congruent. |

|] |]D. | |

|4.  |

|What is the distance between the points (-3, 2) and (6, 14)? |

| |

|[pic|[pic|19 |

|] |]A. | |

|[pic|[pic|21 |

|] |]B. | |

|[pic|[pic|15 |

|] |]C. | |

|[pic|[pic|3 |

|] |]D. | |

|5.  |

|To aid in her understanding of the math problem, Jessica is graphing the equations y = x2 and y = x2 + 4. How does adding the number |

|4 to x2 change the graph of y = x2? |

| |

|[pic] |[pic]A.|The graph of x2 is shifted 4 units downward. |

|[pic] |[pic]B.|The graph of x2 is shifted 4 units upward. |

|[pic] |[pic]C.|The graph of x2 is shifted 4 units to the right. |

|[pic] |[pic]D.|The graph of x2 is shifted 4 units to the left. |

|6.  |

|Ms. Watkins is requiring her students to read five different books this semester. In how many different orders can the 5 books |

|be read? |

| |

|[pic|[pic|25 |

|] |]A. | |

|[pic|[pic|120 |

|] |]B. | |

|[pic|[pic|20 |

|] |]C. | |

|[pic|[pic|5 |

|] |]D. | |

|7.  |

|A computer password consists of 4 characters. The characters can be one of the 26 letters of the alphabet. Each character may be used|

|more than once. How many different passwords are possible? |

| |

|[pic|[pic|358,800 |

|] |]A. | |

|[pic|[pic|456,976 |

|] |]B. | |

|[pic|[pic|406,250 |

|] |]C. | |

|[pic|[pic|104 |

|] |]D. | |

|8.  |

|Simplify the following expression. |

|(6x2 + 8x − 2) (7x2 − 4x + 16) |

| |

|[pic|[pic|42x4 + 32x3 + 50x2 − 136x + 32 |

|] |]A. | |

|[pic|[pic|42x4 + 32x3 + 50x2 + 136x − 32 |

|] |]B. | |

|[pic|[pic|42x4 + 32x3 + 50x2 + 136x + 32 |

|] |]C. | |

|[pic|[pic|42x4 + 32x3 + 50x2 − 136x − 32 |

|] |]D. | |

|9.  |

|A new allergy medicine is being analyzed. One study investigated the relationship between time on the medicine, x, and weight gain, |

|y. After analyzing the results, researchers determined the correlation coefficient to be 0.3. |

| |

|Interpret the correlation coefficient by choosing the statement below which correctly describes the correlation between x and y. |

| |

|[pic|[pic|weak positive correlation |

|] |]A. | |

|[pic|[pic|weak negative correlation |

|] |]B. | |

|[pic|[pic|strong negative correlation |

|] |]C. | |

|[pic|[pic|strong positive correlation |

|] |]D. | |

|10.  |

|[pic] |

|The distance is measured in units. |

|Find the distance between points M and O. |

| |

|[pic|[pic|12 [pic]2 units |

|] |]A. | |

|[pic|[pic|13 units |

|] |]B. | |

|[pic|[pic|12 units |

|] |]C. | |

|[pic|[pic|13 [pic]2 units |

|] |]D. | |

|11.  |

|The measure of [pic]PQR is 60°. The length of radius QR is 8 inches. What is the area of sector PQR? (Use 3.14 for [pic].) |

|[pic] |

|Note: Picture not drawn to scale. |

| |

|[pic|[pic|67.02 in2 |

|] |]A. | |

|[pic|[pic|8.38 in2 |

|] |]B. | |

|[pic|[pic|4.19 in2 |

|] |]C. | |

|[pic|[pic|33.49 in2 |

|] |]D. | |

|12.  |

|A survey is given to a group of people who are leaving a rock concert to find out their favorite musical genre. Which of the |

|following could affect the outcome of the survey? |

| |

|[pic|[pic|The survey is biased because it was administered in person instead of over the phone. |

|] |]A. | |

|[pic|[pic|The survey is only focused on the needed response questions. |

|] |]B. | |

|[pic|[pic|The survey is biased because it is only administered to people leaving a rock concert. |

|] |]C. | |

|[pic|[pic|The survey is flawed because too many people took the survey. |

|] |]D. | |

|13.  |

|Which of the following is equivalent to [pic]? |

| |

|[pic|[pic|[pic] |

|] |]A. | |

|[pic|[pic|[pic] |

|] |]B. | |

|[pic|[pic|[pic] |

|] |]C. | |

|[pic|[pic|[pic] |

|] |]D. | |

|14.  |

|Write the equation of the circle given the graph below. |

|[pic] |

| |

|[pic|[pic|(x - 6)2 + (y - 5)2 = 42 |

|] |]A. | |

|[pic|[pic|(x + 6)2 + (y + 5)2 = 42 |

|] |]B. | |

|[pic|[pic|(x - 6)2 + (y + 5)2 = 42 |

|] |]C. | |

|[pic|[pic|(x + 6)2 + (y - 5)2 = 42 |

|] |]D. | |

|15.  |

|In a group of 620 people who attended a youth conference, 465 are teenagers and 279 are females. Exactly two-thirds of the attendees |

|who were teenagers are males. If a person is randomly selected, what is the probability that the person is a teenager or a male? |

| |

|[pic|[pic|[pic] |

|] |]A. | |

|[pic|[pic|[pic] |

|] |]B. | |

|[pic|[pic|[pic] |

|] |]C. | |

|[pic|[pic|[pic] |

|] |]D. | |

|16.  |

|Find the domain of the function below. |

|f(x) = -x2 + 9x - 9 |

| |

|[pic|[pic|33.49 in2 |

|] |]A. | |

|[pic|[pic|{all real numbers < 9} |

|] |]B. | |

|[pic|[pic|{all real numbers} |

|] |]C. | |

|[pic|[pic|{all real numbers between 0 and 9} |

|] |]D. | |

| | | |

|17.  |

|Factor the following polynomial. |

|x2 - 64 |

| |

|[pic] |[pic]A. |(x - 8)(x - 8) |

|[pic] |[pic]B. |(x - 8)(x + 8) |

|[pic] |[pic]C. |(x + 8)(x + 8) |

|[pic] |[pic]D. |(x - 64)(x + 1) |

|18.  |

|Graph the following absolute value function. |

|y |

| =  |

|-2 |

|[pic] |

|x - 3 |

|[pic] |

|+ 2 |

| |

| |

|[pic] |

|W. |

|[pic] |

|X. |

| |

|[pic] |

|Y. |

|[pic] |

|Z. |

| |

| |

| |

|[pic|[pic|W |

|] |]A. | |

|[pic|[pic|X |

|] |]B. | |

|[pic|[pic|Y |

|] |]C. | |

|[pic|[pic|Z |

|] |]D. | |

|19.  |

|The graph below shows a line of best fit for data collected on the cost of hardwood flooring, from different vendors, as a function |

|of area. |

|[pic] |

|What is the equation of the line of best fit? |

| |

|[pic|[pic|[pic] |

|] |]A. | |

|[pic|[pic|[pic] |

|] |]B. | |

|[pic|[pic|[pic] |

|] |]C. | |

|[pic|[pic|[pic] |

|] |]D. | |

|20.  |

|[pic] |

|Given: |

| |

|DEGF is a parallelogram and EF is a diagonal of DEGF. |

| |

|  |

| |

| |

| |

|Prove: |

| |

|[pic]D [pic][pic]G |

| |

|  |

| |

| |

| |

|Proof: |

| |

| |

| |

| |

|Statements |

|Reasons |

| |

|1. DEGF is a parallelogram. |

|1. Given |

| |

|2. DE [pic]FG and DF [pic]EG |

|2. Definition of a Parallelogram |

| |

|3. EF [pic]EF |

|3. Reflexive Property |

| |

|4.  [pic]DEF [pic][pic]GFE and |

|    [pic]DFE [pic][pic]GEF |

|4. Alternate interior angles are congruent. |

| |

|5. [pic]DFE [pic][pic]GEF |

|5. |

| |

|6. [pic]D [pic][pic]G |

|6. CPCTC |

| |

|Which reason completes the proof? |

| |

|[pic] |[pic]A. |AAA |

|[pic] |[pic]B. |SAS |

|[pic] |[pic]C. |AA |

|[pic] |[pic]D. |ASA |

|21.  |

|Which theorem of congruence should be used to prove |

|[pic]EFG [pic][pic]MLK? |

|[pic] |

| |

|[pic] |[pic]A. |Angle-Angle-Side (AAS) |

|[pic] |[pic]B. |Side-Angle-Side (SAS) |

|[pic] |[pic]C. |Angle-Side-Angle (ASA) |

|[pic] |[pic]D. |Side-Side-Side (SSS) |

|22.  |

|A restaurant has 10 chicken dishes on the menu. It has 7 chicken dishes with pasta, and 15 pasta dishes. What is the probability |

|that a dish has pasta given that it is chicken? |

| |

|[pic] |[pic]A. |[pic] |

|[pic] |[pic]B. |[pic] |

|[pic] |[pic]C. |[pic] |

|[pic] |[pic]D. |[pic] |

|23.  |

|The conditional statement "all 12° angles are acute angles" is true. Based on the conditional statement, which of the following |

|can be concluded from the additional statement "the measure of [pic]A is 12°"? |

| |

|[pic|[pic|[pic]A is an acute angle. |

|] |]A. | |

|[pic|[pic|The complement of [pic]A is an acute angle. |

|] |]B. | |

|[pic|[pic|The supplement of [pic]A is not an acute angle. |

|] |]C. | |

|[pic|[pic|[pic]A is not an acute angle. |

|] |]D. | |

|24.  |

|If m[pic]QSR is 36°, what is the measure of arc QR? |

|[pic] |

| |

|[pic|[pic|18° |

|] |]A. | |

|[pic|[pic|72° |

|] |]B. | |

|[pic|[pic|288° |

|] |]C. | |

|[pic|[pic|36° |

|] |]D. | |

| | | |

|25.  |

|Simplify: |

|2 |

| |

|[pic] |

| |

|x |

| |

| |

|+ 3 |

| |

| |

| |

|[pic] |

| |

|5 |

| |

|[pic] |

| |

|x |

| |

| |

|- 4 |

| |

| |

| |

| |

| |

| |

| |

|[pic] |[pic]A. |2 + 3x |

| | | |

| | |[pic] |

| | | |

| | |5 - 4x |

| | | |

|[pic] |[pic]B. |-1 |

| | | |

| | |[pic] |

| | | |

| | |1 |

| | | |

|[pic] |[pic]C. |2 - 3x |

| | | |

| | |[pic] |

| | | |

| | |5 + 4x |

| | | |

|[pic] |[pic]D. |5 |

| | | |

| | |[pic] |

| | | |

| | |9 |

| | | |

| | | |

|26.  |

|Find the solution(s) of the equation below. |

|x2 + 4x = 60 |

| |

|[pic|[pic|x = -6; x = 10 |

|] |]A. | |

|[pic|[pic|x = -6; x = -10 |

|] |]B. | |

|[pic|[pic|x = 6; x = -10 |

|] |]C. | |

|[pic|[pic|x = 6; x = 10 |

|] |]D. | |

|27.  |

|Solve the following inequality. |

||x - 3| < 8 |

| |

|[pic|[pic|-11 < x < 11 |

|] |]A. | |

|[pic|[pic|-5 < x < 11 |

|] |]B. | |

|[pic|[pic|5 < x < 11 |

|] |]C. | |

|[pic|[pic|-5 < x < 5 |

|] |]D. | |

|28.  |

|Mr. Robertson was looking at the test grades of two of his students, shown in the table below. |

|  |

|Test 1 |

|Test 2 |

|Test 3 |

|Test 4 |

| |

|Jimmy |

|86 |

|94 |

|93 |

|91 |

| |

|Brian |

|77 |

|81 |

|69 |

|69 |

| |

|Which statement below best describes the students' grades? |

| |

|[pic|[pic|Jimmy's median test score is less than Brian's median test score by 16 points. |

|] |]A. | |

|[pic|[pic|Jimmy's mean test score is less than Brian's mean test score by 17 points. |

|] |]B. | |

|[pic|[pic|Jimmy's mean test score is greater than Brian's mean test score by 17 points. |

|] |]C. | |

|[pic|[pic|Jimmy's median test score is greater than Brian's median test score by 18 points. |

|] |]D. | |

|29.  |

|Solve: [pic] |

| |

|[pic|[pic|8 |

|] |]A. | |

|[pic|[pic|-12 |

|] |]B. | |

|[pic|[pic|no solution |

|] |]C. | |

|[pic|[pic|2 |

|] |]D. | |

|30.  |

|[pic] |

|[pic] |

|[pic] |

| |

|[pic] |

| |

|[pic] |

| |

| |

| |

|[pic] |

| |

|[pic|[pic|[pic] |

|] |]A. | |

|[pic|[pic|[pic] |

|] |]B. | |

|[pic|[pic|[pic] |

|] |]C. | |

|[pic|[pic|[pic] |

|] |]D. | |

Answers For GHSGT Practice Test 1

|1. |D 54° |

|2. |D centroid |

|3. |D The quadrilaterals are congruent. |

|4. |C 15 |

|5. |B The graph of x2 is shifted 4 units upward. |

|6. |B 120 |

|7. |B 456,976 |

|8. |B 42x4 + 32x3 + 50x2 + 136x − 32 |

|9. |A weak positive correlation |

|10. |B 13 units |

|11. |D 33.49 in2 |

|12. |C The survey is biased because it is only administered to people leaving a rock concert. |

|13. |A [pic] |

|14. |C (x - 6)2 + (y + 5)2 = 42 |

|15. |A [pic] |

|16. |C {all real numbers} |

|17. |B (x - 8)(x + 8) |

|18. |A W |

|19. |A [pic] |

|20. |D ASA |

|21. |C Angle-Side-Angle (ASA) |

|22. |A [pic] |

|23. |A [pic]A is an acute angle. |

|24. |B 72° |

|25. |A |

| |2 + 3x |

| | |

| |[pic] |

| | |

| |5 - 4x |

| | |

|26. |C x = 6; x = -10 |

|27. |B -5 < x < 11 |

|28. |C Jimmy's mean test score is greater than Brian's mean test score by 17 points. |

|29. |A 8 |

|30. |B [pic] |

| |

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