ACT 1 Alg: Translate between different representations

$Q_{1}:$ Twice the product of $m$ and $n$ decreased by the square of the sum of $m$ and $n$. Which of the following is an expression for the statement?

$Q_{2}:$ The product of a number $x$ and four decreased by twelve. Which of the following is an expression for the statement?

$Q_{3}:$ The quotient of $19$ and a number $d$ increased by seven. Which of the following is an expression for the statement?

$Q_{4}:$ Mohammad received $y$ text messages each minute for $10$ minutes yesterday and received t text messages each minute for $20$ minutes today. What is the total number of text messages he received for two days in terms of $y$ and $t $?

$Q_{5}:$ Which of the following expressions represents the product of $3k$ and the sum of $m$ and one third of $n $?

$Q_{6}:$ The difference between two numbers is eight. If the smaller number is $n$ to the third power what is the greater number?

$Q_{7}:$ Which of the following functions represent the table below?

$Q_{8}:$ Which of the following set is describing the graph below?

$Q_{9}:$ Which of the following set is describing the table below?

$Q_{10}:$ Let $g(x)=-3x+6$, which of the following table defines $g(x)$

$Q_{11}:$ Which of the following set describe the graph below?

$Q_{12}:$ Which of the following graphs describe $f(x)=x^{2}-x-6$ ?

$Q_{13}:$ If the side lengths of a triangle are $x$cm, $x^{2}$ cm, and $3x$ cm, then the perimeter of the triangle will be

$Q_{14}:$ The Table below shows some values of the quadratic function $k$. Which of the following defines $k(m)$?k?

$Q_{15}:$ The table above shows some values of the quadratic function $j$. Which of the following defines $j$?

$Q_{16}:$ The table above shows some values of the exponential function $f$. Which of the following could be $f$?

$Q_{17}:$ If $M(x)=\frac{6x}{-3x^{2}}$ for all values of $x>1$, what is the value of $M(2x-1)$ ?

$Q_{18}:$ The graph of the function $g$ in the $xy$-plane, where $y = g(x)$, has a $y$-intercept of $-k$, where $k$ is a positive constant. Which of the following could define the function $g$?

$Q_{19}:$ If $f(x) = 7x + 3$ and $f(x − b) = 7x − 18$, what is the value of b?

$Q_{20}:$ The table below gives values of the quadratic function f for selected values of $x$. Which of the following defines the quadratic function $f $?

$Q_{21}:$ Which of the following sets describe diagram below?

$Q_{22}:$ Which of the following relation is a correct representation of the mapping shown below?

$Q_{23}:$ In which quadratic $f(x)=x^{2}$ lie?

$Q_{24}:$ Which of the following functions represent the graph bellow ?

$Q_{25}:$ Which of the following function equivalent to $f(x)=(3x^{2}-5x+1)-(3x^{2}-2x+6)$ ?