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SAT Practice Test 5, Section 9: Questions 6 - 10




6. Correct answer: (D)


To find:


Answer: (D) 17.5 million

7. Correct answer: (B)

a2 – b2 = 7, a and b are positive integers

To find:
The value of a

Topic(s): Difference of two squares, addition method

a2 – b2 = 7 ⇒ (a – b)(a + b) = 7 (Difference of two squares)

7 have only 2 factors: 1 and 7.

Given a and b are positive integers
So, a – b = 1 (equation 1)
a + b = 7 (equation 2)

Using the addition method for equation 1 and equation 2, we get
2a = 8 ⇒ a = 4

Answer: (B) 4

8. Correct answer: (C)

The number line

To find:
The point that corresponds to

Topic(s): Absolute value

is the length of the line segment from u to w.

From the number line, the nearest estimate to that length is the value x.

Answer: (C) x

9. Correct answer: (D)

A number n is increased by 5
The result is multiplied by 5
It is then decreased by 5
Finally, it is divided by 5

To find:
The final result in terms of n

Topic(s): Translating words to equations

Answer: (D) n + 4

10. Correct answer: (B)

Philip starts with a 300-foot roll of masking tape
He uses 4 piece of masking tape, each 6 inches long, to put up each poster.
He puts up n posters

To find:
The number of feet of masking tape left on the roll

Topic(s): Translating words to equations

To put up one poster, he needs 4 × 6 = 24 inches = 2 ft of tape
For n posters, he needs 2n ft. of tape
Tape left on the roll after he had put up n posters would be 300 – 2n

Answer: (B) 300 – 2n



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