Victory for the ACT Student Text 15e

216 • M ATH

LESSON 2 ALGEBRA AND FUNCTIONS MANIPULATING ALGEBRAIC EXPRESSIONS

If p of

1, q

2, and 3 r

, what is the value

If 3 3 3 a b a + = +

, then b

?

5.

?

1.

A. 3 3 B. 3 3 C. 3 D. 3 3 E. 3

Basic Algebraic Manipulations Items #1–2

) ( ) ) q p p q q r r q : : ( ) (

( A. 3 B. 1 C. 0 D. 3 E. 6

Throwback to Math Class In item #2, remember to distribute the minus sign to both monomials in the expression in parentheses.

2. Which of the following expressions is equivalent to 4 3 ( 2 3 ) a b a b + − − − ? F. 2 a G. 12 ab H. 2 6 a b J. 6 6 a b K. 8 9 a b 3. If x 3, what is the value of 2 2 x x 2 + − ? A. 0 B. 4 C. 6 D. 10 E. 13

If x 3 1

, then x 6 1

?

6.

10

F. G.

1

15

3 2 H. 2 J. 5 K. 30

Evaluating Expressions Items #3–7

If 3 x y + = 2

, then 2 2 x y + = ?

7.

A. B. C.

The Cambridge Edge The best strategy for evaluating expressions problems is to Just Do It—just make the required substitution and simplify.

3

If x

2, then 1 1 x x 2

?

1

x

2

+ − =

4.

2 3 D. 6 E. Cannot be determined from the given information

2

F. G.

3

4

4 1 H. 0 J. 4 1 K. 2 1