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Unit 4 Module 10

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

The side length of an equilateral triangle is . Which expression represents the perimeter of the triangle?
 a. c. b. d.

2.

Which expression is a quotient?
 a. b. c. d.

3.

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

4.

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.

5.

Which expression is equivalent to ?
 a. b. c. d.