ACT 1 Alg: Recognize and factor difference of squares

Welcome to your ACT 1 Alg: Recognize and factor difference of squares

$Q_{1}:$ Which of the following is a factor of $3x^{2} +7x − 6$?

$(3x −2)(x+3)$

$(3x +2)(x-3)$

$(3x −1)(x+6)$

$(3x +1)(x-6)$

$Q_{2}:$Which of the following is a factor of $x^{2} − 2x-24$?

$(x+3)(x-8)$

$(x-3)(x+8)$

$(x-6)(x+4)$

$(x+6)(x-4)$

$Q_{3}:$ Which of the following functions has the same factor as $f (x) = 3x^ {2} − 3x − 27$?

$f_{1} (x) = x^{2} − 3x − 27$

$f_{2} (x) = 3x ^{2} − x − 27$

$f_{3} (x) = 3x^{2} − 3x − 3$

$f_{4} (x) = x ^{2} − x − 9$

$Q_{4}:$For fixed real values of a, b, and c, a solution to the equation $ax^{2}+bx+c=0$ is $-\frac{5}{2}$ For the same values of a, b, and c, which of the following is a factor of the expression $ax^{2} + bx + c$?

$ (2x - 5)$

$(−5x + 2)$

$(2x + 5)$

$(5x + 2)$

$Q_{5}:$ Which of the following is perfect square binomial?

$x^{2}-16$

$x^{2}+16$

$x^{2}-4x+4$

$x^{2}+6x+9$

$Q_{6}:$If $x^{2} = 8x − 15$, then which of the following is a possible factor?

$(x-5)$

$(x+3)$

$(x+5)$

$(x−15)$

$Q_{7}:$If a, b, and c are nonzero real numbers, what is the least number of times a function $f (x) = ax^{2} + bx + c$ may cross the x-axis?

0

1

2

Cannot be determined without the values of a, b, and c

$Q_{8}:$ Factor of $x^{2}+4$ is

$(x-2)(x-2)$

$(x+2)(x+2)$

$(x-2)(x+2)$

none

$Q_{9}:$ Which of the following equation can be written as $-8(x+3)(2x-1)$?

$6x^{2}-5x-4$

$5x^{2}-14x-3$

$2x^{2}-7x+6$

$-16x^{2}-40x+24$

$Q_{10}:$Which of the following is equivalent to the expression $-6x^{2}+x+2$?

$-(6x+1)(x−2)$

$-(6x−1)(x+2)$

$-(3x+2)(2x −1)$

$-(3x-2)(2x +1)$

$Q_{11}:$If $x+y=10$ and $x-y=4$, what is the value of $x^{2}-y^{2}$ ?

24

20

40

14

$Q_{12}:$ Which of the following the factor of $6x^{2}+7x-24$ ?

$(2 x - 3) (3 x + 8)$

$(2 x - 4) (3 x + 5)$

$(2 x + 3) (3 x - 8)$

$( x - 2) (6 x + 12)$

$Q_{13}:$ Which of the following is NOT perfect square trinomial ?

$x^{2}-81$

$x^{2}-15x+15$

$x^{2}+24x+144$

$x^{2}+22x -121$

$Q_{14}:$ If $x^{2}+5x+c=(x+2)(x+3)$ , what is the value of $c$?

$-5$

$-6$

$5$

$6$

$Q_{15}:$ Which of the following is a factor of $2x^(2) − 2x − 24$?

$(2x-4)(x-6)$

$2(x + 3) (x - 4)$

$2(x - 6) (x + 2)$

$2(x -6) (x + 4)$

$Q_{16}:$Which of the following expressions can be factored as a difference of squares?

$x^{2} + 4+4x $

$x^{2} + 26x + 169$

$9x^{2} - 16$

$4x^{2} + 9$

$Q_{17}:$If a, b, and c are nonzero real numbers, what is the maximum number of times a function $f (x) = ax^{2} + bx + c$ may cross the x-axis?

0

1

2

Cannot be determined without the values of a, b, and c

$Q_{18}:$ If $x=\{ -1,4 \}$, then its factor to

$(x+1)(x-4)$

$(x-1)(x-4)$

$(x+1)(x+4)$

$(x-1)(x+4)$

$Q_{19}:$ Which of the following is equivalent to the expression $x^{2}+2xy+y^{2}$?

$(x-y)^{2}$

$(x+y)^{2}$

$(x-y)(x+y)$

$(x+y)$

$Q_{20}:$ Factor of $x^{2}-2x$ is

$(x-2)$

$(x-\sqrt{2})(x+\sqrt{2})$

$(x-\sqrt{2})$

$x(x-2)$

$Q_{21}:$ Factor $x^{2}+x+\frac{1}{4}$

$(x+\frac{1}{2})(x+\frac{1}{2})$

$(x-\frac{1}{2})(x+\frac{1}{2})$

$(x-\frac{1}{2})(x-\frac{1}{2})$

none

$Q_{22}:$ If the area of rectangle given as $x^{2}-2x-440$, then the length and widgth of a rectangle are ?

$(x-20)(x+22)$

$(x-20)(x-22)$

$(x+20)(x+22)$

$(x+20)(x-22)$

$Q_{23}:$ Which of the following is equivalent to the expression $x^{2}-17x+72$?

$(x-8)(x-9)$

$(x+8)(x+9)$

$(x-8)(x+9)$

$(x+8)(x-9)$

$Q_{24}:$ Which of the following is equivalent to the expression $-x^{2}+5x+84$?

$-(x-12)(x-7)$

$(x+12)(x-7)$

$-(x-12)(x+7)$

$-(x+12)(x+7)$

$Q_{25}:$ If the length of each side of a square is $(5x-4)$, then the area of square is

$25 x^2 - 40 x + 16$

$25x^{2}-16$

$25x^{2}+16$

$10x^{2}-8$

Please fill in the comment box below.

Name

Email

Leave a Reply Cancel reply