Victory for the ACT Student Text 15e

208 • M ATH

LESSON 1 Number and Quantity BASIC ARITHMETIC STRATEGIES

?

1. If 30% of some number is 480, what is 125% of the number? A. 2,000 B. 1,800 C. 1,600 D. 200 E. 180 2. If Gerard played soccer for 2 6 1 hours on Friday and 1 4 3 hours on Sunday, what is the total time, in hours, Gerard played soccer during those 2 days? F. 3 12 1 G. 3 6 5 H. 3 12 11 J. 4 K. 4 12 1

=

( ) ( ) 86 37 37 85 − F. 0 G. 1 H. 37 J. 85 K. 86

4.

Just Do It Items #1–2

Look for Shortcuts Items #3–11 The Cambridge Edge Calculators are permitted on the ACT Mathematics Test. So you have three options: do mental or longhand math, estimate values, or use your calculator. Use whichever method will get you the correct answer to a problem the quickest! The Cambridge Edge Which time-saving test prep shortcut can you use in each item, #3–11? 1. Simplifying 2. Factoring 3. Approximation 4. The “Flying-X” Method 5. Decimal-Fraction Equivalents

5. Which of the following is a prime factorization of 120? A. ( ) ( ) ( ) 2 2 15 B. ( ) ( ) ( ) ( ) 2 3 4 5 C. ( ) ( ) ( ) ( ) 2 2 3 10 D. ( ) ( ) ( ) ( ) ( ) 2 2 2 3 5 E. ( ) ( ) ( ) ( ) ( ) 2 2 3 3 5 Throwback to Math Class The prime factorization of a number is a product of prime numbers that equals the number. A number is prime if it is divisible only by 1 and itself.

. ( . ) . ( . ) ? 4 01 3 2 0 2 0 4 − + = F. .12 752 G. .4 536 H. .0 432 J. .1 251 K. .12 783

6.

?

3 7 d d d d d d n n n n n n 2 4 3 5 4 6 5 7 6 8

1

3.

2

A. B. C. D. E.

1

56

. 0 2521 8 012 ] g is approximately equal to which of the following? A. 0.25 B. 0.5 C. 1.0 D. 1.5 E. 2.0 . 1 014 .

1

8

7.

28

37

41

43

55

56