Topic Test Answers

Nancy is checking to determine if the expressions and are equivalent. When , she correctly finds that both expressions have a value of 10. When , she correctly evaluates the first expression to find that .What is the value of the second expression when , and are the two expressions equivalent?

When evaluating for , the given value of 1 is substituted for what part of the expression?

Genevieve wants to verify that is the simplified expression of .Which procedure can Genevieve follow to verify this?

Ryan is looking for the sum of the cube of a number, n, and 16.What is the sum Ryan is looking for if ? [BLANK]

Sylvia translated the phrase into an algebraic expression and then evaluated it for . “the square of a number increased by 9”What is the value she should get?

Which scenario could be represented by the algebraic expression ?

Coach Burns charted the change in his runners’ 5K times from the first race of the year to the second race of the year. Which student improved the most by decreasing the time needed to run the race?Overall Change in 5K Times from the First to the Second RaceRunnerTime over (+) or under (–) previous runAlbert–15.7 secondsCody+1.4 secondsHannah+4.5 secondsYasim–37.4 seconds

Which expression correctly represents “eight times the difference of four and a number”?

Which description can be written as the expression ?

The length of a rectangle is 3 times its width. Write and evaluate an expression for the length of the rectangle. What is the length of the rectangle?

What is the value of the expression “three less than the quotient of ten and a number, increased by six” when n = 2?

Noni is looking for the sum of a number, n, and 21.What is the sum Noni is looking for if ? [BLANK]

What is the simplified expression for the expression below?

The isosceles triangle has two sides with the same length. The base is one-half the length of a side. The expression which represents the perimeter, the distance around the triangle, is . What is the value of this expression if ?

Which list correctly orders A, B, and C from least to greatest when A = –8, B = , and C = ?