sat suite question viewer

Advanced Math / Equivalent expressions Difficulty: Easy

Which expression is equivalent to $9 x squared plus 5 x$ ?

$x left parenthesis 9 x plus 5 right parenthesis$

$5 x left parenthesis 9 x plus 1 right parenthesis$

$9 x left parenthesis x plus 5 right parenthesis$

$x squared left parenthesis 9 x plus 5 right parenthesis$

Back question 45 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 A is correct. Since $x$ is a factor of each term in the given expression, the expression is equivalent to $x left parenthesis 9 x right parenthesis plus x left parenthesis 5 right parenthesis$ , or $x left parenthesis 9 x plus 5 right parenthesis$ .

Choice B is incorrect. This expression is equivalent to $45 x squared plus 5 x$ , not $9 x squared plus 5 x$ .

Choice C is incorrect. This expression is equivalent to $9 x squared plus 45 x$ , not $9 x squared plus 5 x$ .

Choice D is incorrect. This expression is equivalent to $9 x cubed plus 5 x squared$ , not $9 x squared plus 5 x$ .