sat suite question viewer

Advanced Math / Equivalent expressions Difficulty: Easy

Which expression is equivalent to $12 x plus 27$ ?

Back question 79 of 102 Next

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102

Explanation

Choice C is correct. Each term in the given expression, $12 x plus 27$ , has a common factor of $3$ . Therefore, the expression can be rewritten as $3 left parenthesis 4 x right parenthesis plus 3 left parenthesis 9 right parenthesis$ , or $3 left parenthesis 4 x plus 9 right parenthesis$ . Thus, the expression $3 left parenthesis 4 x plus 9 right parenthesis$ is equivalent to the given expression.

Choice A is incorrect. This expression is equivalent to $108 x plus 12$ , not $12 x plus 27$ .

Choice B is incorrect. This expression is equivalent to $324 x plus 27$ , not $12 x plus 27$ .

Choice D is incorrect. This expression is equivalent to $27 x plus 72$ , not $12 x plus 27$ .