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Math CET reviewer exercises, Quizzes of Mathematics

Mathematics

Math cet exercises and problem solving

Typology: Quizzes

2019/2020

Uploaded on 07/08/2020

keana-mae-catindig 🇵🇭

4.8

(9)

5 documents

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REVIEWER IN MATH 10

1. If the sequence 2

5, ___, 2

15 is harmonic, then what is the missing term?

2. Which of the following is the complete factorization of 𝑥3− 𝑥 2− 𝑥 − 1?

3. Which of the following is the correct formula for the nth term of the given arithmetic sequence below?

0,2,4,6,…

A. 𝑎𝑛= 2(𝑛 − 1) C. 𝑎𝑛= 2𝑛 − 1 E. 𝑎𝑛= 3𝑛 − 2

B. 𝑎𝑛= 2(𝑛 − 2) D. 𝑎𝑛= 2𝑛

4. Which term of the arithmetic sequence 2,7,12,17,… is 97?

A. 17th B. 23rd C. 18th D. 22nd E. 20th

5. Which of the following type of sequence illustrates 3

4,3

8,1

4,3

16 ?

A. Harmonic C. Geometric E. Cannot be determined

B. Fibonacci D. Arithmetic

6. Isaiah travels half the distance of a trip at 30 km/h and for the other half the distance at 20 km/h. What is the

average speed?

A. 24 B. 25 C. 26 D. 27

7. Which of the following is not an arithmetic sequence?

A. -1, -3,-5,-7 C. 1,4,7,10,13,… D. 63, 57, 51, 45, 39,…

B. 11,2,-8,-19 D. 1,3,5,7,9,…

8. What is the remainder when 𝑥4− 3𝑥 + 5 is divided by 𝑥 − 1 ?

A. 1 B. 2 C. 3 D. 4 E. 5

9. Which of the following is true about the graph of 𝑓(𝑥)=(𝑥 − 2)3 (𝑥 + 1) ?

A. Comes up from the left, goes down to the right.

B. Comes up from the left, goes up to the right.

C. Comes down from the left, goes up to the right.

D. Comes down from the left, goes down to the right.

E. Comes down from the right, goes down to the left.

10. Given 𝑓(𝑥)= 𝑥3− 3𝑥2+ 3𝑥 − 1 and P(1)=0, which statement is TRUE about 𝑃(𝑥) ?

A. 1 is a zero of P(x) D. -1 is a zero of P(x)

B. 1 is a root of P(x) E. (x+1) is a factor of P(x)

C. -1 is a root of P(x)

A. 1

5

C. 3

5

E. 1

B. 2

5

D. 4

5

A. (𝑥 + 1)(𝑥 − 1)(𝑥 − 1)

C. (𝑥 + 1)(𝑥 + 1)(𝑥 + 1)

E. (𝑥 − 1)(𝑥 + 1)(2𝑥 − 1)

B. (𝑥 − 1)(𝑥 − 1)(𝑥 −1)

D. (𝑥 + 1)(𝑥 + 1)(𝑥 − 1)

Partial preview of the text

Download Math CET reviewer exercises and more Quizzes Mathematics in PDF only on Docsity!

REVIEWER IN MATH 10

1. If the sequence 25 , ___, 152 is harmonic, then what is the missing term?

Which of the following is the complete factorization of 𝑥^3 − 𝑥^2 − 𝑥 − 1?
Which of the following is the correct formula for the nth term of the given arithmetic sequence below?

0,2,4,6,…

A. 𝑎𝑛 = 2(𝑛 − 1) C. 𝑎𝑛 = 2𝑛 − 1 E. 𝑎𝑛 = 3𝑛 − 2

B. 𝑎𝑛 = 2(𝑛 − 2) D. 𝑎𝑛 = 2𝑛

Which term of the arithmetic sequence 2,7,12,17,… is 97?

A. 17th^ B. 23rd^ C. 18th^ D. 22nd^ E. 20th

Which of the following type of sequence illustrates 34 , 38 , 14 , 163?

A. Harmonic C. Geometric E. Cannot be determined

B. Fibonacci D. Arithmetic

Isaiah travels half the distance of a trip at 30 km/h and for the other half the distance at 20 km/h. What is the average speed?

A. 24 B. 25 C. 26 D. 27

Which of the following is not an arithmetic sequence?

A. -1, -3,-5,-7 C. 1,4,7,10,13,… D. 63, 57, 51, 45, 39,…

B. 11,2,-8,-19 D. 1,3,5,7,9,…

What is the remainder when 𝑥^4 − 3𝑥 + 5 is divided by 𝑥 − 1?

A. 1 B. 2 C. 3 D. 4 E. 5

Which of the following is true about the graph of 𝑓(𝑥) = (𝑥 − 2)^3 (𝑥 + 1)?

A. Comes up from the left, goes down to the right.

B. Comes up from the left, goes up to the right.

C. Comes down from the left, goes up to the right.

D. Comes down from the left, goes down to the right.

E. Comes down from the right, goes down to the left.

Given 𝑓(𝑥) = 𝑥^3 − 3𝑥^2 + 3𝑥 − 1 and P(1)=0, which statement is TRUE about 𝑃(𝑥)?

A. 1 is a zero of P(x) D. -1 is a zero of P(x)

B. 1 is a root of P(x) E. (x+1) is a factor of P(x)

C. -1 is a root of P(x)

A. 15 C. 35 E.^1 B. 25 D. (^45)

A. (𝑥 + 1 )(𝑥 − 1 )(𝑥 − 1 ) C. (𝑥 + 1 )(𝑥 + 1 )(𝑥 + 1 ) E. (𝑥 − 1 )(𝑥 + 1 )( 2 𝑥 − 1 )

B. (𝑥 − 1 )(𝑥 − 1 )(𝑥 −1) D. (𝑥 + 1 )(𝑥 + 1 )(𝑥 − 1 )

Given 2, 6, 18, … , which term is 486?

A. 5 B. 6 C. 7 D. 8

Process/ Understanding:

James and Joy are listing all the possible zeros for 𝑓(𝑥) = 4𝑥^4 + 8𝑥^5 + 10𝑥^2 + 3𝑥 + 16_._ Their responses are shown.

a. Is either of them correct? Why? b. If you will solve the zeros of 𝑓(𝑥) = 4𝑥^4 + 8𝑥^5 + 10𝑥^2 + 3𝑥 + 16 , is it possible that no positive zeros are contained in f(x)? Justify your answer. Show your solution.

2. Is 26 the remainder when 2𝑥^3 − 4𝑥^2 + 3𝑥 − 1 is divided by by ( 𝑥 − 3 _)?

Sketch the graph of_ 𝑓(𝑥) = −𝑥^4 + 4𝑥^3 + 𝑥^2 − 16𝑥 + 12_. What is the behavior of the graph?_

The responses of the participating teams who will proceed in the final round are as follows:

Team 1 Team 2 Team 3 Length :3 meters Height: 2 meters Width: 1 meters

Length :6 meters Height: 1 meter Width: 1 meter

Length :6 meters Height: 3 meters Width: 2 meters

Among the three finalists, who do you think got the correct dimensions? Why?

5.

n

Which situations above will give Mika an answer with the highest value? Explain your answer.

6. Find a number k satisfying the given condition: 𝑥 + 2 is a factor of 𝑥^3 − 𝑘𝑥^2 + 3𝑥 + 7𝑘

You are considering two job offers. Company A starting salary is 150,000 annually and guarantee a raise of 25,000 per year. Company B starts at 180,000 annually with a raise of 15,000 per year.

a. Which company offers a higher salary over a 5-year period?

b. Which company offers a greater total salary over a 5-year period?

James

± 1 , ± 2 , ± 4 , ± 8 , ± 16 , ±

Joy

± 1 , ± 2 , ± 4 , ± 8 , ± 16 , ±

2 ,^ ±^

4 ,^ ±^

The Exponent Foundation assembles boxes to package relief goods for the flood victims. Ms. Polynomial, the president of the foundation, has found that the volume of each rectangular box made from cardboards is represented by the function 𝑉(𝑥) = 𝑥^3 − 6 𝑥^2 + 11 𝑥 − 6_._

Situation 1

Cassey travels half the distance of a trip at 70 kph and for the other half the distance at 50 kph. What is her average speed?

Situation 2 Cassey has a car that depreciates in value at the rate of 5% every year. If her car costs Php 650 000 now, what is its value on the 5th^ year?