MATH 8 DIAGNOSTIC TEST

Which of the following is the factored form of the polynomial

 $2x^2+6x$  ?

•  $2\left(x^2+3x\right)$  

•  $2x\left(x+3\right)$  

•  $2x^2\left(1+3x\right)$  

•  $x\left(2x+6\right)$  

Which of the following is the factored form of the the polynomial  $3x^2y-15xy^4$  ?

•  $3xy\left(x-5y^3\right)$  

•  $3x^2y^4\left(y-x\right)$  

•  $3xy\left(1-5y^3\right)$  

•  $3x^2y\left(1-5xy^3\right)$  

Which of the following are factors of the polynomial $49w^2-81$  ?

•  $\left(7w^2+9\right)\left(7w^2-9\right)$  

•  $\left(7w-9\right)\left(7w-9\right)$  

•  $\left(7w+9\right)\left(7w+9\right)$  

•  $\left(7w-9\right)\left(7w+9\right)$  

Tags

CCSS.HSA.APR.C.4

Which of the following polynomials represent the area of the blue region?

• $x^2-2$

• $x^2-4$

• $x^2+2$

• $x^2+4$

Which of the following is the factored form of $a^3-27$ ? 

•  $\left(a-3\right)\left(a^2+6a+9\right)$  

•  $\left(a-3\right)\left(a^2-6a+9\right)$  

•  $\left(a-3\right)\left(a^2+3a+9\right)$  

•  $\left(a-3\right)\left(a^2-3a+9\right)$  

Tags

CCSS.HSA.APR.C.4

Which of the following are the factors of $x^2-9x+18$  ?

•  $\left(x-3\right)\left(x+6\right)$  

•  $\left(x+3\right)\left(x-6\right)$  

•  $\left(x+3\right)\left(x+6\right)$  

•  $\left(x-3\right)\left(x-6\right)$  

Evaluate the rational expression $\frac{5x^2}{6y}$  if x=4 and y=10

•  $\frac{1}{3}$  

•  $\frac{3}{4}$  

•  $\frac{4}{3}$  

•  $\frac{1}{4}$  

Tags

CCSS.6.EE.A.2C

Simplify the rational expression: $\frac{45a^2b^3}{15a^3b}$  

•  $\frac{3b^2}{a}$  

•  $\frac{b^2}{3a}$  

•  $\frac{3ab^2}{ab}$  

•  $\frac{ab^2}{a^2b}$  

Tags

CCSS.HSA.APR.D.6

Which quadrant does point (-4,5) belongs?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Tags

CCSS.6.NS.C.6B

Which of the following is the graph of point (2,-5)

• 
• 
• 
• 

Tags

CCSS.6.NS.C.6C