Name:    Chapter 2 Pre Test

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

1.

Write an algebraic expression for the statement.

The total weight of x bags of fertilizer if each bag weighs pounds
 a. b. c. d. e.

2.

Complete the statement . State the property of algebra that is used.
 a. Distributive Property b. Commutative Property of Multiplication c. Associative Property of Multiplication d. Commutative Property of Multiplication e. Associative Property of Multiplication

3.

Use the Distributive Property to expand .
 a. b. c. d. e.

4.

Combine like terms to simplify the expression .
 a. b. c. d. e.

5.

Find an algebraic expression for the verbal phrase below.

The difference between 3 times a number x and
 a. b. c. d. e.

6.

Translate the phrase into an algebraic expression.

A number x divided by
 a. b. c. d. e.

7.

Translate the phrase “Three times the difference of a number and ”into an algebraic expression. Let x represent the real number.
 a. b. c. d. e.

8.

Write a verbal description of the algebraic expression , without using a variable.
 a. the difference of a number and , all divided by b. the difference of a number and , all multiplied by c. the difference of and a number, all divided by d. the difference of a number and , all divided by e. the difference of and a number, all multiplied by

9.

Translate the phrase into an algebraic expression and simplify the expression.

The square of x is added to the product of x and .
 a. b. c. d. e.

10.

An airplane travels at the rate of r miles per hour for hours. Write an algebraic expression that represents the total distance (in miles) traveled by the airplane.
 a. b. c. d. e.

11.

The information given is the interest rate and an expression for the balance in an account. Guess, check, and revise to determine the time (to one tenth of a year) necessary for the investment of \$ to double.

Interest rate: %

 a. years b. years c. years d. years e. years

12.

The dimensions of a rectangular plot of land are feet by feet. The property owner decides to sell a rectangular strip x feet wide along one -foot side of the land. Write an expression for the area of the land that remains in the owner's possession after the rectangular strip is sold and simplify the expression.

 x

 a. Area b. Area c. Area d. Area e. Area

13.

Find an equation that has as a solution.
 a. b. c. d. e.

14.

Use a calculator to find an equation that has as a solution.
 a. b. c. d. e.

15.

Use a calculator to find an equation that has as a solution.
 a. b. c. d. e.

16.

Justify Step 6 of the solution.

 Step 1 Step 2 Step 3 Step 4 Step 5 Step 6 Step 7 Step 8
 a. Distributive Property b. combine like terms. c. original equation d. group like terms. e. solution

17.

Write a verbal description of the algebraic equation , without using a variable.
 a. The difference of and a number, all multiplied by , is . b. The difference of a number and , all divided by , is . c. The difference of and a number, all divided by , is . d. The difference of a number and , all divided by , is . e. The difference of and a number, all multiplied by , is .

18.

Simplify and state the units on the simplified value.
 a. dollars b. units c. d. units e. dollars

19.

Solve the equation.

 a. b. c. d. e.

20.

Solve the equation.

 a. b. c. d. e.