Multiple Choice
Which is an example of an algebraic expression?
(1 point)
Responses
1) 4(3 + 8)
2) 182
3) 3 – a
4) 21 • 4
Which is an algebraic expression for 5 more than z?
(1 point)
Responses
1) 5z
2) z + 5
3) 5z + 5
4) 5 – z
Which word phrase can be used to represent the algebraic expression 4(21 + n)?
(1 point)
Responses
1) 4 plus the sum of 21 and a number n
2) 4 times the product of 21 and a number n
3) 4 times the sum of 21 and a number n
4) 4 less than the sum of 21 and a number n
Which is an algebraic expression for the word phrase "8 less than the product of 12 and a number x"?
(1 point)
Responses
1) 12x – 8
2) 8 – 12x
3) 12 – 8x
4) 8x – 12
1) 4(3 + 8)
2) z + 5
3) 4 times the sum of 21 and a number n
1) 12x – 8
ty Bot GPT 3.5
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1) 4(3 + 8) is an example of an algebraic expression because it contains variables (the 3 and 8) and operations (addition and multiplication).
2) The algebraic expression for "5 more than z" is z + 5. This expression represents adding 5 to the variable z.
3) The word phrase "4 times the sum of 21 and a number n" can be used to represent the algebraic expression 4(21 + n). The phrase describes multiplying 4 by the sum of 21 and the variable n.
4) The algebraic expression for "8 less than the product of 12 and a number x" is 12x - 8. This expression represents subtracting 8 from the product of 12 and the variable x.
To determine which option is an algebraic expression, we need to identify the options that include variables (letters that represent numbers) and mathematical operations.
For the first question, let's analyze each option:
1) 4(3 + 8) - This is an algebraic expression because it involves both numbers and parentheses indicating an operation.
2) 182 - This is not an algebraic expression because it is just a single value.
3) 3 – a - This is an algebraic expression because it includes a variable (a) and subtraction.
4) 21 • 4 - This is an algebraic expression because it involves multiplication.
Based on this analysis, the correct answer for the first question is option 1) 4(3 + 8).
Now let's move on to the second question. The word phrase asks for an algebraic expression for "5 more than z." Let's analyze the options:
1) 5z - This represents "5 times z," not "5 more than z."
2) z + 5 - This is the correct algebraic expression because it represents "z plus 5," which means "5 more than z."
3) 5z + 5 - This represents "5 times z plus 5," which is not the same as "5 more than z."
4) 5 – z - This represents "5 minus z," not "5 more than z."
Based on this analysis, the correct answer for the second question is option 2) z + 5.
Moving on to the third question, let's analyze the options:
1) 4 plus the sum of 21 and a number n - This option accurately represents the expression 4(21 + n).
2) 4 times the product of 21 and a number n - This option does not represent the correct expression because it indicates multiplication rather than addition.
3) 4 times the sum of 21 and a number n - This option also represents the correct expression 4(21 + n).
4) 4 less than the sum of 21 and a number n - This option suggests subtraction instead of addition.
Based on this analysis, both options 1) and 3) could be correct for the third question.
Lastly, let's analyze the options for the fourth question:
1) 12x – 8 - This is the correct algebraic expression because it represents "8 less than the product of 12 and a number x."
2) 8 – 12x - This represents "8 minus the product of 12 and a number x," not "8 less than the product of 12 and a number x."
3) 12 – 8x - This represents "12 minus the product of 8 and a number x," not "8 less than the product of 12 and a number x."
4) 8x – 12 - This represents "the product of 8 and a number x minus 12," not "8 less than the product of 12 and a number x."
Based on this analysis, the correct answer for the fourth question is option 1) 12x – 8.