Chapter 2.1-2.3 Review

Section 2.1

100

Name the constants and the variables in the following expression:

3x +4y - 100/(xy)

Constants:  3, 4, -100

Variables:  x, y

200

Write the word phrase into an algebraic expression.

The sum of 100 and 5 times a number

100 + 5x

300

Translate the word phrase into an algebraic expression.

The quotient of the product of x and y, and the difference of x and y

(xy)/(x-y)

400

Write an expression for the sum of 4 consecutive integers.

n + (n+1) + (n+2) + (n+4)

500

Write an expression for the quotient of 3 times the suppliment of an angle, and 4 less than its complement.

3(180 - a) / [(90-a) - 4]

Section 2.2

100

Evaluate x² for the domain {1, 2, 3}

{1, 4, 9}

200

Evaluate 5x² - 3x + 12 for the domain {-1, 0}

{20, 12}

300

Find the area and the perimeter of a square whose side is 5 cm.

Area = 25 cm²

Perimeter = 20 cm

400

A carpenter plans to cut Formica to go around the outer edge of a circular table with a 2 ft radius.  Find the circumference of the table (using pi=3.14) to determine the length of the piece of Formica.

12.56 ft

500

Evaluate when a=-2/3, b=4/7, and c=-3

square root of (14abc) + (1/a)²

25/4

Section 2.3

100

Name the coefficients in the following expression:

4x² + 8x - 10x²

4, 8, -10

200

What are the like terms in the following expression?

5y³ - 9y + 8x² - 16y³ - 10y

5 y³ and -16y³

-9y and -10y

300

Distribute

2(3x²+2x -10)

6x² + 4x - 20

400

Simplify

4x - (6x² - 5x + 9)

-6x² + 9x - 9

500

-6[8x + 3(x-4)]

-66x + 72