MATH REVIEWER

What is the divisor?

d(x)

It is a special type of average where we multiply the numbers together and then take a square root (for two numbers), cube root (for three numbers) etc.

Geometric Mean

What are the first four terms of the sequence: an = 3n – 3?

0, 3, 6, 9

What is the sum of the first twelve terms of the arithmetic sequence 1, 5, 9,. ?

276

What is the Geometric Mean of 1 and 81?

9

Which among the following is NOT a geometric sequence?

3, 8, 13, 18

Which of the following is NOT an arithmetic sequence?

80, 20, 5…

Which of the following is an example of infinite geometric series?

1 + ½ + ¼ + 1/8 + ….

Which of the following statements will let you obtain the common ratio of a geometric sequence?

None of the Above

In the sequence -5, -2, 1, 4, 7, what is the common difference?

3

Which term of the arithmetic sequence 5, 9, 13, 17, ... is 409?

102

If three arithmetic means are inserted between 11 and 39, What is the second arithmetic mean?

25

What is the arithmetic mean between 2-√3 and 4-√3?

3-√3

Using synthetic division to divide 5x³−3x²−10 by x+3, which of the following is the correct first row of the algorithm?

−3⌋ 5 −3 0 −10

This refers to the number that is being multiplied to obtain a geometric sequence.

Common Ratio

In the geometric sequence r is referred to the common ratio, which among the following is TRUE?

To find the common ratio, divide the second term by the first term.

It is a sequence whose consecutive terms have a common difference.

Arithmetic Sequence

What comes next in the pattern 1, 2, A, 3, 4, E, 5, 6, I, 7, 8, ____?

O

Which of the following is the formula in finding the geometric mean?

GM = √𝑎𝑏

What is the twentieth term of the arithmetic sequence 18, 15, 12,... ?

-39

Franco was saving for a pair of shoes. From his weekly allowance, he was able to save Php 5 on the first week, Php 9 on the second, Php 13 on the third week, and so on. If he continued saving in this pattern and made 43 deposits, how much did Franco save?

Php 3827

Ruby gets a starting monthly salary of Php 8,000 and an increase of Php 800 annually. How much income did she receive for the first four years?

Php 388,800

The volume of a rectangular prism is (2x³ + 11x² + 11x − 4)cm³ and its height is (x + 4) cm. What is the area of its base?

2x² + 3x - 1cm²

Represents the width of the solid.

w = h+7

What is the working equation to find the dimensions of the solid?

750 = 8h³ + 57h²+ 7h

Harley wants to find the fifth term of a sequence -17,-12,-7, -2 which concept will you suggest to be used?

Arithmetic Sequence

This refers to the sum of the terms of a geometric sequence.

Series

What is the sixth term of the geometric sequence if the first term is 5, and the second term is 10?

160

The common ratio of a geometric sequence is 1/2, and the fourth term is 1/4 . What is the first term of the sequence?

2

In geometric sequence 4, 8, 16, what is the geometric mean?

8

Which of the following statements is NOT true?

The quotient multiplied by the dividend plus the remainder equals the divisor.

Which of the following is NOT a polynomial equation?

x^-2 +x=0

What is the degree of the polynomial equation x = 64?

1

Which is TRUE about the arithmetic sequence: 25, 32, 39, 46, ...?

the 6th term is 60. and the 8th term is 74.

If 7 is a rational zero of the polynomial P(x) = 2x³ - 14x² + x – 7, which of the following is NOT true?

(x + 7) is a factor of P(x)

If -1/2, ¼, -1/8,1/16 is a geometric sequence, what is the common ratio?

-1/2

What is the 50th term of the arithmetic sequence -1, 3, 7, 11,…?

195

What is the remainder when x^4 + 2x² +4x−3 is divided by x + 2 .

13

Find a quadratic polynomial with roots -1 and 2.

a² - a - 2 = 0

How many possible real roots does the polynomial equation 4x³ + 4x² - 31x + 5 = 0 have?

at most 3

What is the remainder if 2x³ +4x² –x+7 is divided by x–1?

12

What is the sum of the first 100 positive odd numbers?

10,000

What is the quotient when (2x³ + 9x² − 2x − 3) is divided by (2x + 1)?

x² + 4x - 3

What will be multiplied to x²−6x+2 to get 3x³−17x²+2?

3x + 1

What is the value of k so that x+5 is a factor of P(x)=x³ +5x² –kx–20.

4

Find the sum of the first six terms of a geometric sequence whose first term is 2 and common ratio is ⅔.

1330/243

If a3 =11and a5 =7 and ak is the kth term of the sequence and ak =-9, then what is the value of k?

13

According to Rational Root Theorem, which of the following is a possible zero of the polynomial? P(b)= 6b³ – 3b² + 2b – 4?

1/2

Which polynomial gives a remainder of zero when divided by 3x – 2?

12x² +19x –18

A ball tossed to a height of 8 meters rebounds to ½ its previous height. Find the distance the ball has travelled when it comes to rest.

24 or 32