[ SAT 7 ] Scholastic Aptitude Test Reviewer VII

Scholastic Aptitude Test Reviewer

Instructions:

Please answer each question to the best of your ability. Each question is multiple choice, and only one answer per question is correct. Select the most appropriate answer from the options provided. There are 25 questions in total.

When you have completed all questions, click the "Submit" button at the bottom of the page to see your score. Good luck!

1. If \( f(x) = 3x^2 - 5x + 2 \), what is \( f(4) \)?

A) 24
B) 30
C) 34
D) 40

2. A circle has a diameter of 12. What is the circumference in terms of \( \pi \)?

A) \( 6\pi \)
B) \( 12\pi \)
C) \( 24\pi \)
D) \( 36\pi \)

3. If \( \log_2 x = 5 \), what is \( x \)?

A) 10
B) 32
C) 64
D) 128

4. The sum of the roots of \( x^2 - 7x + 12 = 0 \) is:

A) 3
B) 7
C) 12
D) 14

5. If \( x + y = 8 \) and \( x - y = 2 \), what is \( xy \)?

A) 10
B) 15
C) 18
D) 20

6. A function \( g(x) \) is defined as \( g(x) = 2^{x+1} - 3 \). What is \( g(3) \)?

A) 10
B) 13
C) 29
D) 31

7. If the quadratic equation \( ax^2 + bx + c = 0 \) has equal roots, then:

A) \( b^2 > 4ac \)
B) \( b^2 = 4ac \)
C) \( b^2 < 4ac \)
D) \( a + b + c = 0 \)

8. The product of the solutions of \( x^2 - 5x + 6 = 0 \) is:

A) 5
B) 6
C) 2
D) 1

9. A geometric sequence has a first term of 3 and a common ratio of 2. What is the fifth term?

A) 16
B) 24
C) 48
D) 96

10. The sum of an infinite geometric series with first term 4 and common ratio \( \frac{1}{3} \) is:

A) 5
B) 6
C) 6
D) 7

11. If \( x^2 + y^2 = 25 \) and \( xy = 12 \), what is \( (x+y)^2 \)?

A) 25
B) 30
C) 49
D) 36

12. If \( f(x) = x^3 - 4x \), what is the derivative \( f'(x) \)?

A) \( 3x^2 - 2x \)
B) \( 3x^2 - 4 \)
C) \( x^2 - 4 \)
D) \( 3x^2 \)

13. A right triangle has legs of length 5 and 12. What is the length of the hypotenuse?

A) 10
B) 13
C) 15
D) 17

14. If \( 2^x = 32 \), what is the value of \( x \)?

A) 3
B) 5
C) 6
D) 8

15. What is the sum of the solutions of the equation \( x^2 - 9x + 14 = 0 \)?

A) 5
B) 9
C) 14
D) 3

16. The function \( f(x) = \frac{1}{x} \) is undefined at:

A) \( x = 0 \)
B) \( x = 1 \)
C) \( x = -1 \)
D) \( x = 2 \)

17. The exponential equation \( 3^{2x} = 81 \) is equivalent to:

A) \( 2x = 3 \)
B) \( 2x = 4 \)
C) \( 2x = 6 \)
D) \( 2x = 8 \)

18. If a parabola has vertex \( (3, -2) \) and passes through the point \( (4,1) \), what is its equation in vertex form?

A) \( y = 2(x-3)^2 - 2 \)
B) \( y = 3(x-3)^2 - 2 \)
C) \( y = 4(x-3)^2 - 2 \)
D) \( y = 5(x-3)^2 - 2 \)

19. The sum of the first 10 terms of an arithmetic sequence where the first term is 2 and the common difference is 3 is:

A) 100
B) 155
C) 200
D) 250

20. If the determinant of a matrix \( \begin{bmatrix} 4 & 3 \\ 2 & x \end{bmatrix} \) is 10, what is the value of \( x \)?

A) 1
B) 2
C) 3
D) 4

21. If \( \sin x = \frac{3}{5} \) and \( x \) is in the first quadrant, what is \( \cos x \)?

A) \( \frac{3}{4} \)
B) \( \frac{4}{5} \)
C) \( \frac{5}{3} \)
D) \( \frac{5}{4} \)

22. A cylinder has a radius of 4 and a height of 10. What is its volume?

A) \( 40\pi \)
B) \( 160\pi \)
C) \( 320\pi \)
D) \( 400\pi \)

23. If \( f(x) = x^2 + 4x + 3 \), which of the following represents \( f(x) \) in factored form?

A) \( (x+3)(x+5) \)
B) \( (x+3)(x+1) \)
C) \( (x-3)(x-1) \)
D) \( (x-3)(x+1) \)

24. The line \( y = 2x + 3 \) is perpendicular to which of the following lines?

A) \( y = 2x - 4 \)
B) \( y = -\frac{1}{2}x + 1 \)
C) \( y = \frac{1}{2}x + 2 \)
D) \( y = -2x + 5 \)

25. If \( \frac{5}{x} + \frac{3}{y} = 2 \) and \( \frac{10}{x} - \frac{6}{y} = 4 \), what is the value of \( \frac{1}{x} + \frac{1}{y} \)?

A) 1
B) 2
C) 3
D) 4

Result

You can purchase eBook copies of the reviewers, complete with explanations for each item, for as low as $1.00 on our Gumroad page. GUMROAD PAGE.