50175
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
Variant 0
DifficultyLevel
573
Question
Peter has 6 more golf balls than Roger.
Using p for the number of Peter's golf balls and r for Roger's golf balls, which equation correctly describes this fact?
Worked Solution
p = r + 6
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | Peter has 6 more golf balls than Roger.
Using $\large p$ for the number of Peter's golf balls and $\large r$ for Roger's golf balls, which equation correctly describes this fact? |
| workedSolution | |
| correctAnswer | $\large p$ = $\large r$ + 6 |
Answers
| Is Correct? | Answer |
| x | r = p + 6 |
| x | r = 6 − p |
| x | p = 6 − r |
| ✓ | p = r + 6 |
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
Variant 1
DifficultyLevel
575
Question
Bart has 12 less chocolates than Lisa.
Using b for the number of Bart's chocolates and l for Lisa's chocolates, which equation correctly describes this fact?
Worked Solution
l = b + 12
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | Bart has 12 less chocolates than Lisa.
Using $\large b$ for the number of Bart's chocolates and $\large l$ for Lisa's chocolates, which equation correctly describes this fact? |
| workedSolution | |
| correctAnswer | $\large l$ = $\large b$ + 12 |
Answers
| Is Correct? | Answer |
| ✓ | l = b + 12 |
| x | b = l + 12 |
| x | l = 12 − b |
| x | b = 12 − l |
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
Variant 2
DifficultyLevel
577
Question
Ben has 8 more ice creams than Jerry.
Using b for the number of Ben's ice creams and j for Jerry's ice creams, which equation correctly describes this fact?
Worked Solution
j = b − 8
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | Ben has 8 more ice creams than Jerry.
Using $\large b$ for the number of Ben's ice creams and $\large j$ for Jerry's ice creams, which equation correctly describes this fact? |
| workedSolution | |
| correctAnswer | $\large j$ = $\large b$ $-$ 8 |
Answers
| Is Correct? | Answer |
| x | b = j − 8 |
| ✓ | j = b − 8 |
| x | j = b + 8 |
| x | j = 8 − b |
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
Variant 3
DifficultyLevel
585
Question
Anthony made 6 more bowls of fruit salad than twice what Simon made.
Using a for the number of Anthony's bowls of fruit salad and s for Simon's bowls of fruit salad, which equation correctly describes this fact?
Worked Solution
a = 2s + 6
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | Anthony made 6 more bowls of fruit salad than twice what Simon made.
Using $\large a$ for the number of Anthony's bowls of fruit salad and $\large s$ for Simon's bowls of fruit salad, which equation correctly describes this fact? |
| workedSolution | |
| correctAnswer | $\large a$ = 2$\large s$ + 6 |
Answers
| Is Correct? | Answer |
| x | a = 2s − 6 |
| x | s = 2a + 6 |
| ✓ | a = 2s + 6 |
| x | s = a − 12 |
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
Variant 4
DifficultyLevel
587
Question
Eilidh read 2 less books than three times what Cormac read.
Using e for the number of books Eilidh has read and c for number of books Cormac has read, which equation correctly describes this fact?
Worked Solution
e = 3c − 2
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | Eilidh read 2 less books than three times what Cormac read.
Using $\large e$ for the number of books Eilidh has read and $\large c$ for number of books Cormac has read, which equation correctly describes this fact? |
| workedSolution | |
| correctAnswer | $\large e$ = 3$\large c$ $-$ 2 |
Answers
| Is Correct? | Answer |
| x | e = c − 6 |
| x | c = 3e + 2 |
| x | c = 3e − 2 |
| ✓ | e = 3c − 2 |
U2FsdGVkX1/VeqGWrHMU7X2E2ns/UJOzzRskKSm8dLXRMrEp5ztfOdEarNH6z9K108bwwX5kuKtxOPNP69y6lNUVGRPgH/xhF6YPbWm8j/PuS9x5Pyxhxt8jRINlB5sLOY697uwiZpiMAD88ijB12CDfOk/oH5x3it3Jqt3fK+/eYczwWaK8YUnTW8iXJEi5nPlrbyzws3hbI6//+YVNgEjYzWa7sCu+njiNtWTXOt9lrW6OkMRUfW4P6nhTsLAEN5/QYGJ4NAAalZvw1VRWMK9w1sQbXvK/9ZNl8Y3CGBEra7Ixo/1z4BTq0dhThCojtLHQHeh511dCtvnCDttPLSo6cEREUaHeSMc/atB6kQCzAAZ45ga7tAK/Y1wlmgG0OZOJ7kt8yKL9jAOoGkYpUb3ZhyRNEb7aa7DFRQAkipJhkKGz7RaCXDlCarD1G5Jy8+gBRr4LsBHoLTn5PbXkVEkby1PDwfTdsxpWYT7q2mhgwIRaejPF7jxs2E5rhayPMAbj7JULAD/50Bq3AxwW/7XpMsE6kgCV2ruwbK5yqETw5vTeD+gv+o/IIbUqIkqlR8xosHLl/Epgv6fq6Is37HwMgDdOZRsyuv/F1K7yZLLe5kmyuIQDpTPPRgtpgzLSkooU6XE7j77U8dNHrpdrPxAfvElFFQyqAvI0AN5iaKMuPsgB2mPUmNphA2vK8450RxxHMSOijl/BWLxggoEhN/KHYXqe34Q5o96EaUXE+/I2jLDR83sxGVpq3TWzfP5F+iuc1bd4KhpYDEjKXCrJoNoy4rhw1fX3jR1vunQZp7U8DPOFDdB/6Yks81qlwO+danudk51Z9xJTiCv68vP2iDUO5lVxuApOYQRaJ8D4M43Sdybb15ZPCBVMllvush6Ey7P9Cp9yQ7AyAulpS3+o6FE2ZOg7dS+6UJuQHAEz7YDUEOJz8hesuLT8MbPE60iZVZwWbK2ct4LAjw7akWf+5gqm8YjZcUbGfUyFLDnCbTdYFT8jG/+tYa4N+78NACxCk/uVvL97YcdIUg7zqI8gQcPqrLklpKMLUUQRWU3yAGIf8tEIgY7Z1KCFQMKpyQapQ69rgZMOenbCN3YmHphlRFkb9peo4SY9nP/j4PNWuSmeGqbwuX4jxFcY+fn8jQqnvwcUYsUM1fVGvjqg4Gq45jEtxa0Vm4kAYDTesIWgeblCQwx/aDR0tx8SUgxLUldBfGL2oEv0HdT+sA9T1fVSNkyDdKWfwyng4OLd6VcddLRpUUDyusPZDp/LqzMRw6gPMIARSY+DnMCdxi2xeIb1nkl9iktoN2yqWyq0luRr9aPlMGcqSI1SQjqUqVUdj7qD35K3bpFg98Wd9kAcVPk5QChPR+8IvI/KKguzUje7D6u86mJTZ4QZlZTPPlGxkFhCwZE6JrfeKAvoOZLofs4Kh7+M7XuFIo6u/0KzuXCjQftwb+ZjcpXNgUABB7jdqPDAtw1G2hgkkOR8WLXj0zSXvdsLhNKMAXzwftBFZ5mKraYyO2ICswDe1GVGCTgKlav5/uUy5So+TCCMXjNQ6fSgyNFBPXyMrrE3e67bIa5F8oQRa3v9gs71ScHr40jcHzKEzFPM8M9SoVtIKN3VG1O30BGsIpoUzEiSZS77vbL2Tc0mSO8Jx86XrGuHxY0x4T+z1m7g45LEGakRdoUMlMrk/ldVtkOx5hmK28WRfBYGMhW3jHf8fMaB2wWZ6eaYerC9QKOKRQ8cDHAr3GdLVYnZfjax4oxp0m0kbgNDKWIQI10/EUFto2DX3Pg8bNUFj3L4Gz2JkX/NPrPWqa1Ovn1xA5G71TjxswxYn3GvFH4JMy2pQrUtauvDcjf0eqT5fCSSOVbAV78NWcOqBvHSvwieloxLytCNYZ4A1PeN0DS2GHn2415nosG/9tzBAVfsMpVnFdii+zzLZ6bIdG3GFvA9v3PtQVm4YyZ1cbPo1WznPVVF/rgCRrumOEtBQInq13f9A1M4+wQlTqzqKR3PpWFZ+pSJc1NrPNS4d/FkuFQ4KZUn40gPV0irFddYAKSrZPgDbeENEyfWVX0ZLgaIa8Y1E6w2IktGHdQQ4IUQ08BO1r1Y9G+PqAg8w3R6cZJRzPN4fhDHy/uL38aOzGUpS5QRN3KqqCNwmfiMKZLEIUWmQim5m28nV8hhGAEKmkLHTDSSOsEpUCIGxzJJP0DycnUa6n2hmdIeEZZbK1+rI1eMUTyqAKGNPnWlzbD0TpLJqM12Lzyj/di3seviKenpg1SUdVITSbWDMMkVRQRZuCENuXqfuWLS9z2Gru+2zEREwYAEWMCWVDj/5/dUNTpKYyCX3P4G3XgfHFKjly7gEV6OhFc+M7+nI9btiY/KKBKyYm/wX3Qg2VrvMC6SmPqFhAYE61zvdsgw2VlNqRkWM6UEU6njfp3GwJLRTg7vg4M1v0egr720y+gfnZUktbZk9tKxNWasmky+jumJPCShNVB2HVyjUU02uvrOYX5dycCGi7gh4NZ27B7MiHea/8d1ETZrFzQj559bCAYyrRltBkSlgkol6DwcZusQhJZ+s8DkqYA7XeNOUoQg1qHYucAv3td84Ngg2V89g07gWPyid/QCELq7jrLWFijEN16OGP/BHAjcCz2GqKigBPrf2KqK/Epp2Rs0suG26McA0xLnsZvkEtBqN5+wRUolW2C5fLV0GmgPzVF3mRI8BSlAE0hd64kJ1FhDolqA0jM3JDlZ4/Z1if21Csemy0v32E5eJx8KL1KKVSzkvNN93Mh7lcA2mM4N0Qq99YR1h4/2MK8RvUcPDMENpYmd4mGFubHVhJ5kMPOnnXlN9TTKiUtp2NjbG66aVwruIY9lrMTULW/7C9AMw1TRUTXN7BFi0UYuh9nGvKg0ezTXA4bLJglnnT3sz28Pc7VJzYWK/PNfAoMRPr+GM84SVIL9beYTv+ybvUYlIB6jKbV28cbFbJtYaU9LNQ+iLzifCKSWyyfFtvv8ag7SjQwiLX9pUQM9FJlQB524jIfFyqBii+LMidfR1UVrmErg9n2vQ2Hhw53CYn0QmeP3PZjQeIfco9GQPnsatL4qWfpGnzB7gJBfc/5GPwfR1f514fh72uxOOXx2wi4FPy9G7l6IjpPt/bn1LL5WHJFB8GDDkMmNpD1I3MXc8G4vD9XEzv3CL1ZT2J9AL8D58T4P8iop8q1N7n/FSG1YhEysYYSqUUPjqWVgomJpH73rn2Q/0EPt8OvccImYFT2WCcxxl90Ta/dN5A9qlb3RjJDnN9Ayuy75/WFxZkScvkidRU++mlg6dP19i0wEvh/uJrjxm7yfajbkE7/3fsMdwshZ3as747jGkaTBegB4O9uawSuJ27PL+fhiTCkF+1MMntrhXwjokjx3sK95PQwKBDuT27lksZFtvYbzc7AK2xv3tLkPSV0ChOy/QaayMJlfWuYdq2CymvORCTehWjbuRk8xcteggDVSDjqnVuK93PJyteWc1uljhSyMEioR5LBcne5v7slyypfDUIZ6h5jusaWZlT2mRtQurb2xsUERh3OWXVEbQ47Vk89ww5BfMl/WISRSe8uB0zS+7wS2qa1afSQCT/U1i0aer5Bs4N3Q7RtGW8DzuPUfPPkc04KeLoM5Wj1vPOQHJbOgafPUz/BmYRl4jFGhWubUt6JxfklI5pwutOmf23c6aNT0guMEdneBUX0rxdAD7wlSJbNe24zmC6sXBa09yQcAMeaL9sKUEAzyVs3ynoXBZun5r49/NSdvvLETYr6cKKMDV0unQuOYVu4zdTJGR4O/n4BBsO9YPoDk1RQRlKXR/1J/P9Xng7MGXJu9YUE+Wq3HNSYSmRRCCSU6SeLvv7XuA8MthQdTDWv0/RfeIbDdA03If3zm21Mc7+h6LvPg5c+YK6NOQiA8KkBcZBfl1ySF3w+Vp/7hwRZcKalD6VLVNiJLAJIz/vAG9sd2ba/XnB8OWvyEUmU09/8cbpdqPemPv5Y6Kga4/F3Cv+SXzn3W262fPMPwyjBcZqsGHakbo+4FMnGKv7sR29Z74kqZaiScA2FY/Cl3V0cpo+nZHRZLAuCMT92pcA+VusVrOrWbgGZ0nyZ3zc1gS2UaMHlG+lHDQYJrpRutjFjNPPN2M3XnovzLJqfuoj1nw6g5+6n366dLMBiVrh1beRJiXLpmV+oh2VtTf6WzxZb4GMnnkneZqCcTAD5iaHlMymGRE24RY5YbtpCRWZanWrWnDmc9fRezgmSfl26ahwZ7lErzIPbHvzqqrnRXruo0K1ReCuE5Cw8o6XRf7hXC4wJcgMwAS1KEpZZ6Vrwa8Nd5mtaSwzvpIup5etzFudj6XStn+SCQmTtMb2Ny4DmdaEMJ1aIpoLoAe+xxxJTObckM3ebMARfQwa0dAxz3/cqYIR/loerUvjYl+5gRG2Ai+Y1yjdMlP/qiJV+ZEocoaFK6Kyvat05lw0ehjhOQXWHyotF4FiQmbx7iwsTHe5sJu4m1x7UBF5sCS38ccyOIcKmF9h3W2Ygp/NLzlDVP01mgxX+zSo8JqitT6yqzb4dOkRqLOE2HdHXW9ZraUjwOzhwxJLQbQhgxn6T4hDZKXI0KKu9wXAWeXqFaIhb/JKDTEYbEKIuIiRRaZ1qiOATEvY3W+2Rv9uAiCsJ6Ejq1DxRLlgSbGOrdN/Z8onh0auTfU8M2InkeuXZsdPgs1YHFcvoXZ4Zo17at8PH9nnbHvYcdqutiASmcUoUwQRH4ZEz8/Vxr1x5y0GiVh/4XIebQPkHh0MwdCRRWAc5fhri817kp/Dmmk8/wwOa1veNbSeLmRcmdRFej4UQOLgnnlXvxmod3Q8LKxIAAUp2S6rrRWjokZpdsfYnS7RyXrOclqPOK3xwHjIbbgsjwntZlPovi2PRlSbZTWtXYWVeUWO3EtFDt4N28aIhtF4FCkOzt1Te1kgQdCjH30zdL122Zwt68OTz6J+gzN/PiDtUaAAGIObv6I9fMZU1uSsu4MJFU1LEbou33X10J079jHwoOdigrdIS8rcnXJywVOyy80UDf5DeyKXrQ0zFlH7AsNehLfyt0822jWulGAOhQuvBT0HGy3u7NB1j+U3nmqPCHNxBGETt6LsiIKKiOpc9tccXmq6EhyoaK/wHWlD+iBImdiXn1A9XKGedWr0DKhSIAkyDqmQ6a7tZWaD9FJtJSZZmhFWM3TMAhf+qC7I5X76lWxvwhsw3zO6nkcebEFqKI4XDYd1ggmKhPszJHeGkT2hjWCQMXfBkTOY2ygbCfZusD66pNkAryjaYYmiBnt22nOKWfEH9AygepVd45H11vvi20Ua5sttqpuF8b902Mh+tB2jd9kNKJVx25FIe2e/jRK45iOeH0KMc+4GODNiOnjA8W6pDNWMNL+1ZCBxE8h4snFR3+k6SpvNTWzCix1xLZry1OSyiOE+QzW+wAasuxX0roPk24WbJajvKG0Y1BbkFHdO6+PQ5WIpiuPFLoNydS/pIOOBvzSZQYw/9hXAprLRDBqaHBUmD2NpTH/z+nXL3m+jJ4ltOp7sWqSyzVCMrV55XJa7FP8uvKE2YVT5dJJrDuK1+wIYwbPHYqQCV4oYxNJd0/rGXJjcphvwAIaeTi54EN5/3AN4CiiPcvfDx8ut/cGe2t0D6xNlNjrm9Pknt0Ce5Si3xRdn0ytY9fLyON3pw9ixfVt+mtKIBdhftBMhdMF0Hl9yHP3prn1bulxZlwb7oOffNNuIl9hmgLdUcEkOISk+96qoIyBoba12SvYTKNjOXpH3PI8PIb7wYwF5dYscDnJJ9HoJ3XXWrciMKLdIyPeRzVgnZtr9NgpH1DQs0e03QQNAPTIrjUwmwe/1GEO5qTxrxhPTWQGCUpA1CpK+BAyzWmgD22lxLNDbaKD38oZuvlzlfWmTqZZ4QWuqaHAfAvJy14Kfit5foHfxHIr/n1g3bOF5TvofdFawb7SWj3myDFnke/1xEQ2V07alSsZU5vgzWB49yWlqxiAmRQGE+PsnR6dbteqyZgg5Q3G7LdPJGKkTpvQdp/8SCoVVQHhzRb6MPRYeocPS7JWegKHg83+Oj0vb6Wy2vJ/VAszTgShKHHmOpV9gHgdxsK4DkZEHjxCcWx7Kx5e9osNkELgCSxHvt2jO0XcryHmEzX0doEJOnRHNSUTcAMBKT8szYgBdnPrLvMrMVypImtvxkVprSKevLmj2inZWhjppJsDDv799UquUZQtlWHDo8aAnh511h9F6Av6N0ZhOrC/eYIfMxLWV9ZcdUFXiSR/w9RRhDmvWkxKeYMQ8BRmAtYipltK60rg6oyKdphCLonfb1tHVkYn7pPwzKfwY0z+bl/YxNk/mPCtpNIlWMVgq6Q+oDXvIERFJUtUQOMedZyCUgRdFcYiPRoNPBO9anpl4E27Xo7WmoZd3Te+XcO1/E49Lo3ZSZ/GnyLFCdTFRpC7VsyLXxcqxaAMufjEFMIrs87G6cIpGeavSokT3TuHH+m/lo83qAIAfVldMaDfSEOAN4eMGEwoIA57IRP9hDNWVViAJLxmtN4klbyFT8hZE9/2Zhs457uuYlr3m0PaWbTw9p956R5/3GOTNjTsTf+TJqhX2OEa0UxwvxVzH1EEYKr9/R2d3iwBc40VjjswJzvkFiKKL8HpgyE3bQYq7qW4EO2q5v087ZPzy5+rbEf9+KnivWKzfpmBBKmESW/Qya4JmPfMp6PDh3xVnwR6ca9FDvD8ov5H9t+aoK9Z+nFoQVi1KXNg9KoLNE8rA2w69IyHsddiAMrJJu19qBflZmLkltDClth94ZjVfztEo1YHRbIIKz4kUv3CCjzVaUNugPjfgg/1zAakstVRsHGaZqihCQ/1Z/zqRY2iZj2TC8rikoOVv5PgSWZv2U2qUONLuf5VLoENS9vsG5cDwJ9s17SNlX7uU5p7wgw4QC/8W7F+vQmbp6NJ6MEo+yR/hPs9v6I3OtmVyqer7sbtufxnlbi8kiPobPKBakbJHME2HuGR6TkjAzPGfUQtxKm0wgxjxabba/qfoPL4P62EAtNDgkIynE0souT6ipBWTO5q/GX+JW0oDoqhCduapRg1CRqSpUPv4rKLnUhvkuoZj5zSpp9zejB5otkNi2sy+lapiTeTSpGmD9yM71POcNfUMTjKIwQn/XV3bCBeaiC0TIfgj6Z289bHQGanPrZ019D6chv+AvoTPIJMF28KwgYQMNaE4V8+gvk/Qybriwfc9pOWgG5GkGokNfLs7Wv8WJ89Nzn0r++tCy79JmkWjkITWZay2221P2S8z/NAGh75ol7bwtKjCevkBKzc8zGdPkWwIsyE9l1IKiB+Hjex5x1Vo+oWGffsPvZ6NGRycFJhKeqdqg8oLQA7CNsfECuV2Wb+hrWvlrBzKM05bLFKEcnua3D/FV8Y82VlzvMShzMwokeVlk3Bx36p0nXbiIIMJDeP/TmYCSvycTsyHE2cRD5naC0fcjZ34CZKub4JCqap1jn+1v+4cfemSRMA1oTdiyk4U/v3IpvRDsYV7C7WFBZwNxl00plAmnAiU4J3DVR+9kpb+J9gHr+ElhpNGmLgdj7X6vX9nZhauuKG+wbcgbRIbauSxHnBUAZAm2whXLbGDV8Ka/95hshpwwpriIYNi6IZAiaw20Hn0cF1kO7AbV16LGV+iKzV/wbiHyqCOwJG7g7bG0ruz6ZW9z4LHf1BLx5SMfdWVIFuloLERXKhVEchLbR5Uyb6+unUP+xl7RjEDGD69ZcKpLI6Ie7QcvHbLppjIPB3jUjoqipS5O81vNT3ogYWxV6/1oso5lsPGxLkmtsLeyP5MRu531bAZSRvY/SN1LM449ghW0jBImJW+wYzSv+J8GlxU8pkmdkKPmmk1330w2iM9qX97aJRwclbzvDa/ladYgp/rHkSD4oS+2EBKKg00cGjRJyiG7gQ6remJC3KC8HttS8yGJDA8lhznoMSNmVJtBl/UG/bZJkPUnzgpql+6GD7NFMVxA9OeCgU+G3bZ55r6vYJVRp3J9DyX0atWbXPF7IiiwwPk2D+oTqTqNWifyqpP6rXUBwbKr81C1RGtl4jCh/UUmeXqC0QzckzqBVdqxVblvvJcqIS1VBYClWjXzTXYNwu8YcwYFBM9brUx4bdZoXtdSDAZfYLFBcZ3ENowKOtBozEJ1dx5d9DzQCmBsJbOzFF1kQqR2+u61JwfoLSPA9Bexm2WB6+GiitFpDye/3AKwi0vq+4xpzMyOwKjmD5SM/1j4MXHgkyofm9s0xyDSKhqoz+m5Q4Yl6kL/WCpPS2/FOBmvReSs+OUN3n6lhLZwZfor5g1RIRSc+u5e3bKS9C8sjDer7NIwrxEWMrSKVwck9C4WkkZOac7sl8KKYKWte8hk/hPN9P+/zWPM7wtm9LCupego+SGHBJKjMJIos7aXR4tyQmyxbmq/rpN/e7EgMfTzRrlkRzKX93Ho+28mLGXTjTvtZ7tq7kXiAatHexMGeZ7BAUjVTDENvLnft4PJ55WDL1Y77zSEHOmjfKtrSanxLcyU7LnyQbmjLkNzKvMJ6YkyjsuiXPWxCFwOKnVyBZ1dSwOOHXCGo3uxGBBOnAN8h9DhxdK5iAR3pCGBtA49kgayJ72jnTbS9DmUAgj+7L1DlnkG1oqev8vA+GuDuQFlsNH/BzMkDBstf2xWxusVCg+Wz5dE9lqPKDkOriScxCU6/U4DhwsD2ExxjZRJZTr1OnBlR4ccg7z+QK/bsBH7qI4uTYVhOYAUeiNQLBkI44Q8cvAJTUIO5DMoYsz5AA9edcrEIpJRkTCH69hSOmGjzyTkcpcT3jpslzv7duXm451/lpIyaGg2Motm74ZqozUKyHmLVhdU5ZaMySMkcigMDWWssQ45sOG+yDpcaVp5CRj2bCY6/IVjCAhUpl72gjZHO3bbR5fODqFrmtfR37uImK2H3kAatzoxsJQghnnokNHQLuvc8RJH01sTGQdverldjzWBZHRw6MRwLtpOwMHONC+/rIl9oQe+RT4cYCu/fBDsn23lBDmxxeznZ6VpywMNKbog/SOYxS7/9QFN8KL6/L9L7rBI34vPqcpdRV//BtfOK+wyoq2/cpMSJsu3Icxvul/y+PSdd7m2JbPqb0brNj6UuUX/VZ13auTfe7CPiDVKNzPM/qDqHqsl7PLL59GgTVeZU+xfdokYTg0NNP9sUPNGVtFuClLtv3qRUoxWJ6EjHE6tjJdvfnFqfeaeFKTv6qyE6/dTeBa6Vfe/d9YhLeJI44XYi7z2nItjzcaoCPPvu1YVFx0MuSUW1JzQuYSE730wGNOelMiyWenPyGP4r6vTG5mdZ/LxJQ/Uy4EJG5GF7nvXwCIVhXwdSu2C+KjFi3kcRNDABPLfhFfRuQ9mw4zxaQkQctKjxA9TUf+HhaJkyFSOMdn3O2TVxHGyrpJqQe4cMOf5mdMZaUjrgsO3xxrFT51NtAB7DJuFcOBzlr4tpBtYVrT6uFWQJgJKfKzw0xouLoz91z111lktcqyk+5rPSKnOUhhu8fJkweFUU6Ig6e4b6t2B89mT+shHlsnvvYebt0VdnoiuePTwmOj96DcHOtK840UrW0Oj0rB7Th3lCeEm8PFaLc5E1KGILqV6S0Lnn1oNPBa/nHQ93hKDUzV/nz2TcPyK6iq4m3EIu9l1F5zk0M8MGKdkCeacRthT2HsYmFB7/EL5EbUD2ouEntgBL8bjPEIOI2117wW3bxv0CiM076Wvm+edLv5SCeepcsrhT0osLHL7W2WFeCq/n/UfZsMlVntA8wxfpcoIn9NRVCkOKwmUbdLyMpYfKC6OGnMYTe6ulpW2BTtX6NJ9EcuSQHYp29DltF9JyCZbxgq+09X7uUJHOOMSoF92zRRQqMdORahcqud6ywApMfextMpiDKKee4xbQDN+pdGBjmbgbmVAOLVtXPK42NZFVEJBqx8cgE5fss8tZUFz2sX9qO2Rmqc9XkhH1shlXs60pfUcLyJZ+cBOwyJT7Zu6DUagN9zrwh62lHrdMUqm5xfVvbOOULRvzKOtJgW+6f8ZiJd1eaNyb11YDUy1R5dfMhi65Y7l4/um0EKvYbifeOB+c5UorQQDKQ0GwUtacZwdDDavV7jGmeF/iLuuCLuC4UW4eXB1jy/JcHBvmt2iWQrqFVi7P0mQQX2yW4GnU65Y2muUyiXJsjFdGUVb0f2OCfojTxVkQhn6gJDfFrlgk8SljqboH0sMZ5db/bF1BXrxM3ZzVAkf5HyRpFWq4byFSpR53SYLHldjiKtJvISDiUa0TtWW6DLvgg4YDcNPHqXtKsovakmlGvaBI90jIH4YSs/pLDWk6BGCNu4nu4nwTGoDUCXipozoWZIrb+2zQTsOjsyGR2bDM8d/F3wIaIR7OCgYqYsToo7iPc9OlSjpXbzEubcNXJgU0kIJSP70HZh38a8oBbsBxqvPUsLP0WU8NUNM3qE5ZO0h8TQW/Zqm+Rpyg/DGmDlBdUc0jGjV++IzhMNsSGlmwzxAE8bF92XoLfMc4VZnvyLLKLl0WJzuiCSd2vsvIrTqLRmvylSXnEq+Q4TGykdXnFzvFOzyZsxGcUBpzzTMqBjm2uEoZjxturEA4kIZCNr1KcW5vTx+Y0fNy87h/3jgLiLAEIyzctxVtEf7LY2Am+NiGy3A5IkLcAv+kzEV+TcWFFxlXJVh1wipZL6zJTVf01wwnnuf/jFR2sM+2J5hgO76LbKcMIfcu1lYbFTsePrGIJ+ugazw+IAjjCSyleheAPv853N1D9kOSNqPa8Wfga8mxRj8gl0bhopXFnB056jFG6wHbROqbSXwyxCjOxf2ULHf7Y/1epDQB40cPhb+bZq2ptL67mTH9TDkvmMFGqAZfPNao4TPscnrUdcvcEnnzhCF8WwSwM3YTFc2xmlIquCgB0PW9O8HY06WPE61pyEghd9eAC5FREwd7+njPJlhNp9tR3r0JlUhEOEm8a2ROEm3jLAoOZqh4/HeDv/R29DkTiwzuBfUQzS2frHHC7qzQQTBrSm/dOhv4CY6slok2OQ1otr/lShz9Qj++dY6Pgk3eiqbsvats6BjpntmdLCXIofjoKUwBEQ4VOXUNBYvADzL+Ai2RVmAyUBVsNNL7wKe1RmWf0/ocrqvXzU/mIHvDmq7WFClNe7mjRSF+pU/t8bpdSa3Pg3C2II3OwiRXcIqlXqDOezmKOByHuYrSy01emndFmGy4mwYprepkxY/xYChqGhaOrx9KTeL7ROMcVyt94hoKAcqkjMnCc2+8kMcRCKVNQqUyAL1rFZvuJoYvdnugwGqbgjkmzPwf30jN56L0IYWbqyFkkDLiyIS+gWKfhGlOdV8B5zBbBvO3z23g0TQoJAQLHfgDBKx22QyfyS2bdB6VTHq0OYa0O2V89ZwsCxg8FvKZHaeoN3SDvJA6Adx+oQ+PBaCNpikMwyn1iY/lafSOE5IukdCd6MQECXvn19cz7L/vrR8LDG4FMstrMGGpV/WJA7ovDodrNqUju6B0kRhHQf4ANfD6iO7s2UZCQJd3OWhC7SZRXzOumXR77NICvt0IUNtS2XbSB1MiwFC98kFPkjkhnnrqU1VicsIjJ/bnZiXdPjx9OihGkxGAJDV856Ij
Variant 5
DifficultyLevel
589
Question
Stephen streamed 10 less movies than twice what Bill streamed last month.
Using s for the number of movies Stephen streamed and b for number of movies Bill streamed, which equation correctly describes this fact?
Worked Solution
s = 2b − 10
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | Stephen streamed 10 less movies than twice what Bill streamed last month.
Using $\large s$ for the number of movies Stephen streamed and $\large b$ for number of movies Bill streamed, which equation correctly describes this fact? |
| workedSolution | |
| correctAnswer | $\large s$ = 2$\large b$ $-$ 10 |
Answers
| Is Correct? | Answer |
| ✓ | s = 2b − 10 |
| x | b = 2s − 10 |
| x | s = 2b + 10 |
| x | b = 2s + 10 |