Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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The side length of an equilateral triangle is  . Which expression
represents the perimeter of the triangle?
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2.
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Which expression is a quotient?
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3.
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To make a batch of fruit salad, Daniel needs 3 oranges and 2 apples.
Oranges cost x and apples cost y. Write an expression equivalent to 18x +
12y, which represents the cost of making 6 batches. How much will it cost to make 6 batches if
oranges cost $0.70 and apples cost $0.90?
a. | 6(5xy), $18.90 | c. | 6(3x + 2y), $23.40 | b. | 30xy,
$18.90
| d. | 6(2x + 3y),
$23.40 |
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4.
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When are the expressions 3x + 12 and 3(x + 4) equivalent? Explain
how you know.
a. | The expressions are always equivalent. By the Distributive Property, 3(x + 4)
= 3x + 12. This means that, no matter what value is substituted for x, 3x + 12 =
3(x + 4). | b. | The expressions are equivalent when x = 5. Substituting 5 for x results
in a value of 27 for each of the expressions. However, substituting any other value for x
gives different values for the two expressions. | c. | The expressions are equivalent when x =
0 and when x = 5. Substituting either of these values for x results in equal values for
each of the expressions. However, substituting any other value for x gives different values
for the two expressions. | d. | The expressions are never equivalent. Adding 12
to 3x will always give a different result than adding 4 to x and then multiplying the
result by 3. |
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5.
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Which expression is equivalent to  ?
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