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1006<br />

1 12 Practice <strong>Tests</strong> <strong>for</strong> <strong>the</strong> <strong>SAT</strong><br />

Practice Test Eleven Answers and Explanations<br />

There<strong>for</strong>e, <strong>the</strong> area of <strong>the</strong> rectangle is 12(b - 5), and <strong>the</strong><br />

area of <strong>the</strong> triangle is _!_ ( 1 2)(5) = 30. Adding <strong>the</strong>se and<br />

2<br />

simplifying, we see this:<br />

12(b - 5) + 30 = 12(b - 5) + 12(2.5)<br />

= 12(b-2.5)<br />

= 6(2b - 5)<br />

You could also find <strong>the</strong> area by treating this figure as a<br />

trapezoid with bases b and b - x and height 12:<br />

b + b - x<br />

A rea = h 2b - 5<br />

2<br />

x = --<br />

2<br />

x 12<br />

= (b-%)x12<br />

= 12b - 30<br />

= 6(2b- 5)<br />

15. D<br />

Difficulty: High<br />

Strategic Advice: The percent of tomato paste in <strong>the</strong><br />

mixture will be <strong>the</strong> amount of tomato paste in <strong>the</strong> soup<br />

divided by <strong>the</strong> total amount of soup and water in <strong>the</strong><br />

mixture. It can be confusing to work a complex problem like<br />

this one using variables, so if you're not sure about your<br />

answer, you might want to try Picking Numbers instead.<br />

Getting to <strong>the</strong> Answer:<br />

The amount of tomato paste in s cups of soup is 10 percent<br />

of s, or 10% x s. The total amount of soup and water is s + w.<br />

There<strong>for</strong>e, <strong>the</strong> percent of tomato paste in <strong>the</strong> mixture is<br />

10s 0<br />

s+w Vo.<br />

16. D<br />

Difficulty: High<br />

Strategic Advice: There's no real shortcut to this problem;<br />

you just need to list <strong>the</strong> numbers from 31 to 39 and<br />

examine <strong>the</strong>ir factors to see which numbers have only two<br />

prime factors.<br />

Getting to <strong>the</strong> Answer:<br />

Because 31 and 37 are prime <strong>the</strong>mselves, <strong>the</strong>y have only<br />

one prime factor.<br />

Now, 32 and 36 have too many factors; factors of 32 are 2,<br />

4, 8, and 16, while factors of 36 are 2, 3, 4, 6, 9, 12, and 18.<br />

And 33, 34, 35, 38, and 39 all have two factors that are both<br />

prime; 33 = 11 (3), 34 = 1 7(2), 35 = 7(5), 38 = 19(2), and<br />

39 = 13(3). That's five numbers, (D).<br />

<br />

SECTION 9<br />

1. B<br />

Difficulty: Low<br />

Transition words must express <strong>the</strong> correct relationship<br />

between ideas.<br />

As written, this sentence does not use an appropriate<br />

transition to express <strong>the</strong> contrast between ideas. Choice (B)<br />

corrects this with <strong>the</strong> transition word although. Choices (C)<br />

and (E) express a cause-and-effect relationship between<br />

<strong>the</strong> clauses that is inappropriate in context. Choice (D) is a<br />

sentence fragment.<br />

2. A<br />

Difficulty: High<br />

Don't mistake complex or <strong>for</strong>mal sentence structure <strong>for</strong><br />

grammatical error. Eliminate answer choices methodically if<br />

you don't spot an error, and remember-between five and<br />

eight Writing section questions will be correct as written.<br />

This sentence is correct as written. Choices (B) and (E) fail<br />

to correctly complete <strong>the</strong> idiom just as ... so. Choices (C)<br />

and (D) introduce verb tenses that are incorrect in context.<br />

3. A<br />

Difficulty: Medium<br />

Be methodical in eliminating answer choices, but if you<br />

don't spot an error, don't be afraid to choose (A).<br />

This sentence is correct as written; <strong>the</strong> two independent<br />

clauses are properly combined by <strong>the</strong> conjunction and.<br />

Choices (B) and (D) are run-on sentences. Choices (C) and<br />

(E) introduce verb tenses that are incorrect in context.<br />

4. E<br />

Difficulty: High<br />

Some idiomatic and comparative structures require parallel<br />

structure.<br />

The idiomatic phrase at once must be completed with<br />

<strong>the</strong> conjunction and, and <strong>the</strong> items combined must be in<br />

parallel <strong>for</strong>m. Choice (E) corrects both errors. Choices (B)<br />

and (D) do not address ei<strong>the</strong>r error. Choice (C) corrects <strong>the</strong><br />

idiom, but not <strong>the</strong> parallelism.

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