Mathematics and Statistics Practice Questions

What is the product of s4VoGvBTSGKNT3UpFwbtZSyvFt-ruIxUeqtThCwmBf9fXQg1vaqowerszfeskLtUm8xu28J1alT-eTRJvLUz2zPYaKUIk7dXqH93Ui9N2VIn_RQdww2OH5BUkwvfeTqd7jwokay4ZItLeJw7Lw and 8DYiHgc96UuKdQdYCZWsRVa_nab-v9FA8CAzNkm375fzesQHEhZLQuUa-_P9PQsMS2i9CbOwVZ3fnCwCuCQFnh1B0iHeuKLYuIwSIVqBhjvj7WfQ3YmrMsKJ1DCgXln2emX3ntBu6Ugk9NSlMA ?

6×3+29×2+26x-21

What is the product of uY2jVvxmvaSe2y8eF7R1oRKT6uPTMFpi3tfFLii_Pgk1mEMwFb2xeBTg_NCmEsfNM3saEsJtpCunxdWJndrt7q8lHUj6nhtOBgCXPDbjD_Ji_coWfFuIq2Xk1xl699NSubR8Co5lYuIpOOBYrg and Oudn4hazdFCmkkaspG0GPoeY7BUneuEEHU6zI9ShqK5omcu4HKEMK0L65AMposhRQUjkXy1-nyeHFd5NPnW9zVdFsGoyCpO0bVF2MfDZ9zM0c4I7lJ-du7Frgf9JEzofjEJLoln5yP3xtojPsA ?

6×3+19×2+12x-5

What is the product of fvI23ck7-m5IvYOoorB3PHuZgaRXIHO5htZwhd8fGu8M2CNkIBjWAsEk2r6CjsRZbPp9WZZkcCnMZ4DqiRdGDZ-nUTRIo2Cy4Lc1wwy4shKfpzNHkP2wVGe3mh2d69XVDKaEfQQ09OPE2mLy8w and bGh5c5eW6z6ePuZRs1Js5e0DGrmvd-zZIkV6Bh36yrg4kgOl0bZ2WD8lp_EGNMqolavEMSX128CEGIYCnfZN4lpRb_rULTYIjG-yxJo6TtCHvW-xTI3DEQhZvw3sshxKKF1YmmV8PE-M-tDIig ?

6×3+24×2+x18x-12

What are the zeros of the function ZWkScRNL6UB90oCB1a0qZy1m2cybPptsAvDVYD1cQA5yli2HYQ7Gge6n8Q2PpBxjcgnNUJWzbvQ1-YLxndC8CnzsG4FUfgLQ1ZW8RODZ-FfvAVgweotcRtP070xN00e1-PDiT8w-DGop-lZhcA ?

x=-1/2x=-4

What are the zeros of the function eIaE51ShS_n7rwaEmH0xk3vwo9p6NFvd9KIcMsF_jO3PwjCTLpq01qBpBHBz4x8QdLPw0WEtXvaEa0WtuSNmCZ4dOpJwocw3qCwlYI9UB3K85r7M53hwaP0tmGUdrYzdqUj1tVbJrfN5Fa24Yg ?

x=-1/2x=-3

What are the zeros of the function sFY_XeWYeLXcRkehrsXnIMWXsMzW3cVU6lQFG3q8UfmXUvtHif0P7_ZfsM3B6-EScJUEkb3lxeuFD0e7EKxAusNNY211h70tdIf4PvLQMAioXL7ErndIzV3vzQEH_MqXPYKTSGMAahbmp51R4A ?

x=-1/2x=-2

What are the solutions of the equation HNQ3M2kp2HuVo6G15_Ve8jfC4kYj3Z7mmGyV4WrhbMY3EoKReLOVq4pEOiGaTG0-pXaEk4jrNtcbqYzEUDDSnzsSiLpx0jzxe4bgyr04qCC-hB9jX2GrGzmqVwG6iGN99et12Iabgoq2yIfiAA ?

½    -⅓  

What are the solutions of the equation 1Ke2nsbV4mD1TKsU6FrxPAqWG29dPPEc2dJtb6ZU3bR7Whhtw-cJN-jaZYpfaKuI70UWBMRHDm87AxA-O6QTu_hBC64xoLRIQkF8efwN8VeeAD26eWKBwkEdhkNpXSmnFx_JV4YES45wAZVWPA ?

-½     ⅓  

What are the solutions of the equation rvMPIW2cRpuNpEMjnzvHJNKDZZhGPmEzJgJTiZaTF-gusemAPDMUhWh7kq0a1qUUCXIS8pIGBDZfmXLOTxbWNbbFPl7OGFb6ipn0HG7-qmpmvdLCrzhjviRPXQvijLK4hDYr48neZa6qRXqiig ?

-½   -⅓  

Which equation shows Y5K6dfIqwjyw_UnChftu5bSJu_jl0_XbnFQkIThD6dIvXgElaRT0-8ULsDrn1KniAJHaCSnra15Ap02FYYI31qZjVG5X2xeS9oXEUD-2HLQRbL4-u45SuugLIy1dzId_U1eEFZKkUzuFIvu_Xw rewritten by completing the square?

(x+3)2=13

Which equation shows x2 + 6x – 6 = 0 rewritten by completing the square?

(x+3)2=15

Which equation shows Nk-k_qRxj4d6fLeI4GNWBc69w4HgduSD2RV7vt0xHsqiB82-i8X5iNfYMkSezx2CRAnFPCDP2_vMdMJE9CQ3UMVv1wJjfz0xlAVZdN-s5lI6QrYTFKkyqBI8DLQNh67wuUw0FGjy0YZDG5lq2g rewritten by completing the square?

(x+3)2=11

The graphs below have the same shape. f(x) = x2.

What is the equation of the graph of g(x)?

olRYUBsCHheuSSTwgUOn4Oikm3b0PjSvuDz_XeDXS5af8yFSRFn9lh6y2Ock93SZwW19mWplNgfuSIBnkzR8RH_uUUvnU5jw4j_IgxNWKyxIgqisM526dGHIIOl11L2YtFtp6G5FSzRnkI6Icg g(x) = (x – 2)2

The graphs below have the same shape. f(x) = x2.

What is the equation of the graph of g(x)?

G3Ll3PYgbLlKg1JpQTjUbBJfFul7UcLT8wu_5tKtGB7wt7yb3K8u6pXWeH1FYFP2l8N_ADxXjmZIa15H1zdYeNN33EQR1R8qQ7xPUov3vNlQV2J5v-Zgjrm3cy6WMu0FKDkfPmIbdpiwY1PPew   g(x) = (x + 3)2

The graphs below have the same shape. f(x) = x2.

What is the equation of the graph of g(x)?

pS7T2p8MgEVQKTuoPDpgOPL3YgrFyAQ1mZCrGr3ZC7Fnz3gSTJMuAIi8tcZOBKeaycim0KeLpFdUsAnDh6f6dRTdQbF2PiAWaedlSfETAXEUAsz2MTtidCR9GR1DZRSCnLI7gVz9VF5H_1-j9Q g(x) = (x – 4)2

The graph of g(x), shown below, is a vertical shift of the graph of f(x) = 3x. Write the equation for g(x).

Fb0JmY_hSd_F82Y1Qx3shECLjIga_cql4S5qHGeo_pyEel-D7ZzIiTyzAhBjK9XHStMNbEO7E4YmU4WbFmdj3d_okaXqgQXZIqKDxXRWIWQAVvAfi8d3cE2RVPAPsj9xoxSk4_zPFEQufd3q9w g(x) = 3x + 1

The graph of g(x), shown below, is a vertical shift of the graph of f(x) = 2x. Write the equation for g(x).

p5P1JIiHPQovCCu2xxEYBofxx52HlnCLzyxWZ5LPIdGzQCUvb8OYt8KWAofyDq9IrNjEYdWl1mtg8avVyci0jo1tpNkhbJK9QV9SyzLDxQhoKbN51hExu-Vsaq1zJBwrlxudp1x-lPAcmJKBbw g(x) = 2x + 1

The graph of g(x), shown below, is a vertical shift of the graph of f(x) = 2x. Write the equation for g(x).

xwu_fdmESGaMlkLMbkxUaRaYwCOZwZUYg-AZEd312KcfN7eSBbzGU1yjCF41_MGpNAGfXydDSVap41qjI7QD9cKvaIt6StqGgRQLaFJSFLBR31X6jPU3y9rrF67OOq51CZBtSVKKnyLsFWHCAA g(x) = 2x – 1

The applicants for a soccer coaching position were asked how many years of coaching experience they had. Here are the results:

1, 2, 2, 2, 2, 4, 4, 5, 5, 6, 8, 8, 8, 10

On a piece of paper, draw a dot plot to represent the data. Then determine which answer choice matches the dot plot you drew.

-JRhabBSn-3J11CQ8xSMWBKlFQBzoExJ1Xa7o9mzpMTbIDvgdYvu_2fWZJXvru7EAHZZ2kyrbt-QvyLQJwQj1jhrstYUnxOXx3Sd459l_APQVyhneOe57XLlalOLVphZm8_InSQTHTT29rjupw

The applicants for a soccer coaching position were asked how many years of coaching experience they had. Here are the results:

1, 1, 2, 2, 2, 4, 4, 5, 6, 6, 8, 8, 8, 10

On a piece of paper, draw a dot plot to represent the data. Then determine which answer choice matches the dot plot you drew.

4US5HgsNCfZr5sKP_opr77pNTrPweq-XD7tJD7-x-QW5l2ngfumEsaQtjntqVKQtB6MZN7duz40AOiQTA_LNDycQXMvYHLiXnfSQmIjLFbU_QHgS5eRinP_NShPLI_QyqwI8AF-2dSBp6b7N2A

The applicants for a soccer coaching position were asked how many years of coaching experience they had. Here are the results:

1, 1, 2, 2, 2, 4, 4, 5, 6, 6, 8, 8, 8, 10

On a piece of paper, draw a dot plot to represent the data. Then determine which answer choice matches the dot plot you drew.

k1e1XuhAGHcYthi9-GHo9tq416Wkh-_2Er23O0fE_t5IU2fZAtPhafAfPND-0RwRmDwdHRqhwX1g18Cj6fcazmHOr6WTejsq1J1VSCMg4R_F6xt5W1glExhiv2ePwSNRc1mHGKeKAMf-7SasvA

These box plots show shark attack data for the years 2005 to 2014 in Florida and Australia.

wD8UfZZ2rOfG1GMKJ1dS48wLdTMAEUn5zouLLXpQ2ao0xNkmLAGOBZxpHS9CjUhbCwZnFe-haIBp6a16MqKkBQZOsQSLPWq8xw-ZQNskOGAIxvvV5j6Rt_qsvlNe_nkHarWpftI5LNxtO-CI-Q

Which statement best compares the spreads of the data sets? 

The interquartile range (IQR) for Florida, 11, is greater than the IQR for Australia, 4.

These box plots show the number of points scored per game for two professional basketball players, Michael Jordan and Wilt Chamberlain, over the first 10 years of their careers.

Osv0kGIbIKKeRhA-yuFKZ51YwCJ2A_jgPyMsrShAe1a1pLFNN4YXR7SjiIxlvrbDnaE6KejmfF-OwbNOA633EW3eFGj2Qu5aURNanxxz36HBstIceh2Vb51y9aUzkiNpANkr0tu-DnnrOy5OMw

Which statement best compares the spreads of the data sets?

The interquartile range (IQR) for Chamberlain, 14, is greater than the IQR for Jordan, 6.

These box plots show the number of electoral votes won by Democratic and Republican presidential candidates for the elections from 1984 through 2012.

y3NbHuwKINJQKmhfQ5yz6OGGQBvr3WX1vkpXfmhFmDrNykzu5W_BUCv0mFSTe610rvCkrVmrKeNvqfMLTVUkNL6rOMJ8nnwXI5dUUnS6tn4wSIO5uf2OzOELeWscdpqwYYt_oSP2VqYuEfIlYA

Which statement best compares the spreads of the data sets?

The interquartile range (IQR) for Democratic electoral votes, 186.5, is very nearly equal to the IQR for Republican votes, 185.5.

These dot plots show hourly earnings for a sample of workers in two different careers.

8aA9ulDdko5sdu9kYazxivLCo4IDJP6MASuJezM_mcc73bFVwD0jxRzJTPdv3Ws0eeaKrart5SkymICipzTLfhC_azSod3RE_fc0m2TkLf7qBYx5WyhgEgx_v6-UIXzXheWB51x2wBVpsJRLBg

What are the differences between the centers and spreads of these earning distributions?

Select two choices: one for the centers and one for the spreads.

Centers: Career A has greater median hourly earnings than career B.

Spreads: The hourly earnings for career B are more spread out.

These dot plots show hourly earnings for a sample of workers in two different careers.

rv4YpWRu2qvkZ4e8imN0BTES6LH497iag2iNYWK1nA75aLpPKhjEXZPpWCcoeOlMmWO4x8OTe1Umc2GS7jl1HtVZgE6IrSxYncPoacNYX0DkKcH4cimQpV_pVQdzoaipEH4TMHmWohGssZ-u8g

What are the differences between the centers and spreads of these earning distributions?

Select two choices: one for the centers and one for the spreads.

Centers: Career B has greater median hourly earnings than career A.

Spreads: The hourly earnings for career B are more spread out.

These dot plots show hourly earnings for a sample of workers in two different careers.

iqhBqTQjbSBUVl029zpbR7MIxdcf-NmZFUh7YHzdWt4af0z1JwCpshljRpCFpi6WeB3kFLg4AyV6oi4oKqGuchym0WX0DeI45FRE4Qjy7xfBOVDlmLRd2Ox9NxGzWszcKd2Hnv_cZG8ActtiDw

What are the differences between the centers and spreads of these earning distributions?

Select two choices: one for the centers and one for the spreads

Centers: Career A has greater median hourly earnings than career B.

Spreads: The hourly earnings for career A are more spread out.

In a survey at a shoe store, 200 customers were asked whether they have running shoes or basketball shoes. The results are in the relative frequency table.

What percentage of the people surveyed have basketball shoes?

46%

In a survey at a shoe store, 200 customers were asked whether they have running shoes or basketball shoes. The results are in the relative frequency table.

What percentage of the people surveyed have basketball shoes?

42%

In a survey at a shoe store, 200 customers were asked whether they have running shoes or basketball shoes. The results are in the relative frequency table.

What percentage of the people surveyed have basketball shoes?

54%

At a high school, 9th and 10th graders were asked whether they would prefer robotics or art as an elective. The results are shown in the relative frequency table.

To the nearest percent, what percentage of 10th graders surveyed preferred robotics?

61%

At a high school, 9th and 10th graders were asked whether they would prefer robotics or art as an elective. The results are shown in the relative frequency table.

To the nearest percent, what percentage of 10th graders surveyed preferred robotics?

39%

At a high school, 9th and 10th graders were asked whether they would prefer robotics or art as an elective. The results are shown in the relative frequency table.

To the nearest percent, what percentage of 10th graders surveyed preferred robotics?

30$

Which of the following r-values represents the strongest correlation?

–0.91   –0.81     –0.71

There is a strong positive linear correlation between temperature and the height of corn plants. Does this mean that higher temperatures cause the corn to grow taller?

No. Any number of factors could also be affecting the height of the corn.

There is a strong positive linear correlation between the number of clear days and the height of bean plants. Does this mean that more clear days cause the bean plants to grow taller?

No. Any number of factors could also be affecting the height of the bean plants.

There is a strong positive linear correlation between the number of rainy days and the number of tomatoes produced on a tomato plant. Does this mean that more rainy days cause the tomato plants to produce more?

No. Any number of factors could also be affecting the number of tomatoes produced.

Rosa recorded the height (in centimeters) of a pea plant over a 10-day period for a science experiment. Which equation is the best model of the data?

vV2YAecnWsWDO0FYwlEbYwoOnH9Waiibtq6RbFcP5KmXkVjMtC5hWo9NrlXEEOi2Cg1cnrlN_n0LD2H1cq9mM8iBau-Il_pIReUP2l30U4fBjMplGbavyTDG3o41LSbXJXQywnhASveZ5esXWQ         WKE2oUwNbJyozObRbOLNG4iMTg2r10Ms1t3ESySCISCzRN5hxbU0m87653CX-O3bJ6lMCaCWRzVpH7nlK_bcElPBBgwL-LnuL-W_VlHZfrpx6FXrOArSer06wtDS2OPi7yAuZAlaH-peqB2CyQ y = 0.5x + 1.8

Araceli recorded the height (in centimeters) of a pea plant over a 10-day period for a science experiment. Which equation is the best model of the data?

l2_iulZPB5pA2aZOGZwlFFbuhzArwpf0E_4nd0U67M7T3HAhLenv8i-iANpnyoglqtGvvN8mTa5z107DJq1HhJuaNZLtqVMQtQw71UyNz-OPIC4_egwHhmX5Smp6b5sF_xb1RbAqyngPyGa1aA         8qrt1EH1XdNun7U9begqT_qv0XBmFQ4y_h4-FCh6Cwy_-IiJFusPlt8MWplnSe8p-GF_dt8-u3gUuAQW7D11k4BQmqV6yRZoBF3n0FdqgdhE-G7Z3NR7zfE21wPHAJxvJ-uVuCJAvC3KqpuQnw y = 0.5x + 0.3

Marisol recorded the height (in centimeters) of a pea plant over a 10-day period for a science experiment. Which equation is the best model of the data?

lxAd8h80TZjIox8uUk_RUUOmbZ12oB-iGBAgWUMlCh17xPQ54grjkDYiYWxGjn3rHKCH-vwk85Ab17ImTbuWwgcr5DZbKvOsttrexcMsL_sbh-7VCJ4N-CeInyLhPPbEAlJjp47dybrGkRD9HA         EwTJbuuEbzRkapvUuFopqhFJv5RGerSTMrr5MTNCNir1L-9jZtD85gvn-kvpa-7zo0J20Qvmmoz13OLsBIaMJO7-o_h3apxxZLlGp2GmH2n3uEvCzXGoDA95aFUeFwu093V28fofK0jNJ5yEbQ y = 0.5x + 2.4