Basic Mathematics for College Students

706

Fill in the blanks.

1. a. are letters (or symbols) that stand for
   numbers.
   b. To perform the multiplication 3(x4), we use the
   property.
   c. Terms such as 7x^2 and 5x^2 , which have the same
   variables raised to exactly the same power, are
   called terms.
   d. When we write 4xxas 5x, we say we have
   like terms.
   e. The of the term 9yis 9.
   f. To evaluate y^2  9 y3 for y5, we
   5 for yand apply the order of operations rule.
   g. Variables and/or numbers can be combined with
   the operations of arithmetic to create algebraic
   .
   h.An is a statement indicating that two
   expressions are equal.
   i. To an equation means to find all values of
   the variable that make the equation true.
   j. To the solution of an equation, we
   substitute the value for the variable in the original
   equation and determine whether the result is a
   true statement.


2. Use the following variables to state each property in
   symbols.
   a. Write the associative property of addition using
   the variables b, c,and d.
   b. Write the multiplication property of 1 using the
   variable t.


3. FISH Refer to the illustration below. Let the variable
   srepresent the length of the salmon (in inches). Write
   an algebraic expression that represents the length of
   the trout (in inches).

Trout 10 inches

Salmon

4. Translate to symbols
   a. 2 less than r
   b. The product of 3,x, and y
   c. The cost csplit three equal ways
   d. 7 more than twice the width w


5. Translate the algebraic expression into words.


6. RETAINING WALLS Refer to the illustration below.
   Let h= the height of the retaining wall (in feet).
   a. Write an algebraic expression to represent the
   length of the upper base of the brick retaining wall.

b. Write an algebraic expression to represent the

length of the lower base of the brick retaining wall.

7. Determine whether ais used as a factor or as a term.
   a. 5 ab b.


8. Consider the expression.
   a. How many terms does the expression have?
   b. What is the coefficient of each term?


9. Evaluate for.


10. Evaluate a^2 + 2ab+ b^2 for a 5 and b 1.


11. Simplify each expression.
    a. 9  4 s b. 10(12t)

c. d. –4(–6)(–3m)

12. Multiply.
    a. b.

c. d.

e. f. (2r1)9

13. Identify the like terms in the following expression:
    12 m^2  3 m 2 m^2  3

1

2

(2m8)

(6y4) 0.3(2a 3 b7)

5(5x1) 6(7x)

18 a

2

3

xb

x 4

x 16

x

x^3  8 x^2 x 6

8 ba 6

The length of the upper base

is 5 ft less than the height.

The length of the lower base

is 3 ft less than twice the height.

Height

3

4 t

CHAPTER 8 TEST