Math 1

Math 1

A review

Multiple Choice

Which of the following is NOT an example of well-defined set?

• The collection of tall people in Batch 2025

• The group of students who have an IQ greater than 110.

• The set of ingredients used to cook kaldereta.

• The group of workers in J Company that earns a million or more annually.

Multiple Choice

Given the sets below, how many elements does (A - B) ∩ C have?

U = {natural numbers from 1 to 10}

A = {natural even numbers less than 10}

B = {positive factors of 6}

C = {prime factors of 20}

• 0

• 1

• 2

• 3

Multiple Choice

What set does the Venn diagram being presented represent?

• $\left(A-B\right)\cap C$

• $\left(A-B\right)\cup C$

• $\left(A-B'\right)\cap C$

• $\left(A-B'\right)\cup C$

Multiple Choice

What is the simplest form of the expression below?

 $\frac{3}{10}-\frac{2-\left(\frac{2}{3}+\frac{5}{6}\right)^2}{\frac{1}{6}+\frac{3}{2}}$  

•  $-\frac{3}{10}$  

• 0

•  $\frac{3}{20}$  

•  $\frac{6}{25}$  

Fill in the Blank

Yeti earns Php 25, 000 a month. She spends 25% for her contribution in her household and 15% on her insurance. Then she saves 60% of what is left in her bank. How much money will she be left on hand?

(Just write the number. No need for the unit of measurement)

Multiple Choice

What is the simplest form of the expression below? And what is the value of the expression if m=2?

 $5\left(m-1\right)+2\left(m+3\right)-12\left(m-2\right)$  

•  $-5m-8;\ -18$  

•  $-5m-4;\ -14$  

•  $-5m+23;\ 13$  

•  $-5m+25;\ 15$  

Multiple Choice

Which of the following open variable sentences translates to “A number less twice the 5 more than thrice the same number will yield to the same number subtracted from 2.”

•  $x-2\left(5+3x\right)=2-x$  

•  $x-2\left(3x+5\right)=2-x$  

•  $2\left(5+3x\right)-x=2-x$  

•  $2\left(3x+5\right)-x=2-x$  

Multiple Choice

What is the solution to the given linear equation below?

 $3t-10=2\left(t-3\right)-4$  

• { }

• {-20}

• {0}

•  $R$  

Fill in the Blank

I am a 2-digit number. My tens digit is 1 less than my unit digit. If I am the same as the product of 5 and the sum of my digits, what number am I?

Fill in the Blank

Ciara and Ted decided to go kayaking. Their trip upstream took 1 hour while their trip back took them 30 minutes. If the speed of the current is 2 miles per hour, what will be their speed in still water? (No need for a unit of measurement.)

Multiple Choice

What is the solution to the inequality below?

 $4(𝑥+8)+4𝑥<8(1−𝑥)$  

•  $(−∞,-\frac{3}{2})$  

•  $(−\frac{3}{2},∞)$  

•  $(−∞,\frac{3}{2})$  

•  $(−\frac{3}{2},∞)$  

Multiple Choice

Which of the following graphs represent the solution set of the inequality below?

 $−1≤5+2(𝑥−1)≤6$  

• A

• B

• C

• D

Multiple Choice

Which of the following sets contains the solution to the equation below?

 $16−|6𝑥−3|=7$  

•  $\left\{-1,\ 1\right\}$  

•  $\left\{-1,\ 2\right\}$  

•  $\left\{-2,\ 1\right\}$  

•  $\left\{-2,\ -2\right\}$  

Multiple Choice

Which of the following inequality has NO SOLUTION?

• $2−|4𝑥−3|≤6$

• $2−3|3𝑥−5|≥2$

• $4−|2𝑥−5|>5$

• $4+5|𝑥−3|<𝑥+2$

Multiple Choice

What is the simplest form of the expression below?

 $\frac{(𝑥^2𝑦^3𝑧)^2(𝑥^3𝑦)^{-1}}{𝑥^{-2}𝑦𝑧^4}$  

•  $\frac{𝑥^2𝑦^3}{𝑧^2}$  

•  $\frac{𝑥^3𝑦^4}{𝑧^2}$  

•  $\frac{y^4z^2}{x^2}$  

•  $\frac{y^4z^2}{x^3}$  

Multiple Choice

What is the difference when $7x^3-9x^2+8x-5$  is subtracted from  $5x^3+3x^2+5$  ?

•  $2x^3+6x^2-8x$  

•  $-2x^3-6x^2+8x$  

•  $2x^3-12x^2+8x-10$  

•  $-2x^3+12x^2-8x+10$  

Multiple Choice

What is the product of the expression below?

 $\left(x^2-3x+2\right)\left(x^2+3x-2\right)$  

•  $x^4-9x^2-4$  

•  $x^4+9x^2+4$  

•  $x^4-9x^2+12x-4$  

•  $x^4+9x^2-12x-4$  

Multiple Choice

What is the remainder when $x^4-10x^2+8$  is divided by  $x-3$  ?

• -13

• -1

• 14

• 47