sat suite question viewer

Advanced Math / Equivalent expressions Difficulty: Easy

$\text{[math]}$

Which of the following is equivalent to the given expression?

Back question 4 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 B is correct. Using the associative and commutative properties of addition, the given expression $open parenthesis, x plus 5, close parenthesis, plus, open parenthesis, 2 x minus 3, close parenthesis$ can be rewritten as $open parenthesis, x plus 2 x, close parenthesis, plus, open parenthesis, 5 minus 3, close parenthesis$ . Adding these like terms results in $3 x plus 2$ .

Choice A is incorrect and may result from adding $open parenthesis, x minus 5, close parenthesis, plus, open parenthesis, 2 x plus 3, close parenthesis$ . Choice C is incorrect and may result from adding $open parenthesis, x minus 5, close parenthesis, plus, open parenthesis, 2 x minus 3, close parenthesis$ . Choice D is incorrect and may result from adding $open parenthesis, x plus 5, close parenthesis, plus, open parenthesis, 2 x plus 3, close parenthesis$ .