Welcome to your ACT 1 Alg: Relate factors, solutions, zeros, and intercepts

$Q_{1}:$ The factored form of the function in graph below is

$Q_{2}:$ One of the following statement is Not true

$Q_{3}:$ The factored form of a quadratic function can be written in the form $f( x)= a(x- b)( x -c)$. The $x$-intercepts of the function is/are

$Q_{4}:$ Given $f(x)=(x-2)(x+1)$, then the solution of $f(x)$ is

$Q_{5}:$ Given $f(x)=-(x+2)(x-4)$, which of the following is one of $x$-intercepts

$Q_{6}:$ One of the following statement is Not true

$Q_{7}:$ The graph of the equation $g(x)=a(x-1)(x+5)$ is a parabola with vertex $(h,k)$. What is the solution of $g(x)$?

$Q_{8}:$ The solution of equation $(2x-5)(3x-10)=0$ is

$Q_{9}:$ If $x+ y = 7$ and $x -y = 2$ , what is the value of $x^{2}-y^{2}$?

$Q_{10}:$ The factor of $ax^{2}+bx+c$ is

$Q_{11}:$ If $s > 0$ and $4x^{2}-rx+9=(2x-s)^{2}$ for all values of $x $, what is the value of $r -s$ ?

$Q_{12}:$ In the quadratic equation $x^{2}-rx=\frac{k^{2}}{4}$, $k$ and $r$ are constants. What are the solutions for $x $?

$Q_{13}:$ If $(x-7)(x-s)=x^{2}-rx+14$ for all values of $x$ , what is the value of $r+ s$?

$Q_{14}:$ If $x^{2}-\frac{3}{2}x+c=(x-k)^{2}$, what is the value of $c $?

$Q_{15}:$ If $f(x)$ is a perfect-square trinomial, then the number of real root is?

$Q_{16}:$ On the graph $g(x)$ crosses the $x$- axis twice, then $g(x)$ having

$Q_{17}:$ If discriminant of $k(x)$ is positive, then $k(x)$ having

$Q_{18}:$ If $L(x)$ having no real root, then one of the following statement is false?

$Q_{19}:$ If $r_{1}$ and $r_{2}$ are roots of the quadratic equation $ax^{2}+bx+c=0$ , then $r_{1}+r_{2}=$

$Q_{20}:$ If $R(x)$ having root $2,4$, then the solutions of $R(x)$ is

$Q_{21}:$ Which of the following statement is true for table below?

$Q_{22}:$ Which of the statement is false for table below?

$Q_{23}:$ If $(ax+b)(2x-5)=12x^{2}+kx-10$ for all values of $x$ , what is the value of $k $?

$Q_{24}:$ If $B(x)=x^2-k$ where $K>0$, which of the following is true?

$Q_{25}:$ Since the graph of $y = 2x ^{2} – 8x + 9$ does not cross the $x$-axis, the quadratic equation $2x ^{2} – 8x + 9 = 0$ has