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

•  $\frac{3}{20}$  

•  $\frac{6}{25}$  

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}

•  $R$  

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