SAT Practice Test 4, Section 2: Questions 6  10
The following are worked solutions for the questions in the math sections of the SAT Practice Tests found in the Official SAT Study Guide.
It would be best that you go through the SAT practice test questions in the Study Guide first and then look at the worked solutions for the questions that you might need assistance in. Due to copyright issues, we are not able to reproduce the questions, but we hope that the worked solutions will be helpful.
6. Correct answer: (D)
Given:
The number line
To find:
The point that is closest to u + v
Solution:
Topic(s): Absolute value
u + v is an absolute value, so it will always be positive.
We can eliminate points t and w.
To decide between x, y and z, we have to approximate the values of u and v.
u is approximately –0.75 and v is approximately –0.5.
u + v is approximately –0.75 +(–0.5) = –1.25 = 1.25
The point closest to 1.25 is point y.
Answer: (D) y
7. Correct answer: (B)
Given:
To find:
Solution:
Topic(s): Fractions
Substitute into the equation
Answer: (B) 0
8. Correct answer: (A)
Given:
The figure
RS = ST
S is (k, 3)
To find:
The value of k
Solution:
Topic(s): Coordinate geometry
SR is perpendicular to the xaxis and parallel to the yaxis.
The ycoordinate of S is 3, which means the length of SR is 3
ST is perpendicular to yaxis and parallel to the xaxis.
We are given that ST = SR. So ST = 3
S is then 3 units to the left of the yaxis.
This means that its xcoordinate (which is k) = – 3
Answer: (A) – 3
9. Correct answer: (A)
Given:
The table
To find:
The function f
Solution:
We can substitute in the values for x and eliminate the answers that do not get the required values for f(x).
We are left with only (A)
Answer: (A) f(x) = x 2 + 1
10. Correct answer: (E)
Given:
x years ago, the person was y years old
To find:
The age of the person 1 year ago
Solution:
Topic(s): Age problems
Let a be the person’s age now.
x years ago the person’s age was y
a – x = y ⇒ a = y + x
1 year ago, the person’s age would have been:
a – 1 = y + x – 1
Answer: (E) y + x –1
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