NJSLA Algebraic Concepts and Expressions Questions and Answers

Question 1

A taxi service charges a flat fee of $3.00 plus an additional $2.50 per mile. Which expression represents the total cost, in dollars, for a ride of *m* miles?

Accepted Answer

3 + 2.50m

Answer

3m + 2.50

Answer

(3 + 2.50)m

Answer

5.50m

Question 2

Which of the following expressions is equivalent to 5(2x - 3) + 4x?

Accepted Answer

14x - 15

Answer

10x - 15

Answer

14x - 3

Answer

6x - 15

Question 3

What is the value of the expression 3a² - (b + 4) when a = 3 and b = 5?

Accepted Answer

18

Answer

14

Answer

26

Answer

2

Question 4

In the algebraic expression 7y - 4z + 12, which statement is true?

Accepted Answer

The expression contains three terms.

Answer

12 is a coefficient.

Answer

y is a constant.

Answer

-4 is a variable.

Question 5

Which algebraic expression correctly represents the phrase "eight less than the product of a number, n, and three"?

Accepted Answer

3n - 8

Answer

8 - 3n

Answer

3(n - 8)

Answer

8 < 3n

Question 6

A rectangular garden has a length that is 5 feet longer than its width, *w*. The perimeter of a rectangle is found using the formula P = 2(length + width). Which of the following expressions represents the perimeter of the garden?

Accepted Answer

4w + 10

Answer

w(w + 5)

Answer

2w + 5

Answer

2w + 10