SAT Practice Questions

What is the sum of all values of  $m$   that satisfy  $2m^2-16m+8=0$  

•  $-8$  

•  $-4\sqrt{3}$  

•  $4\sqrt{3}$   

•  $8$  

Tags

CCSS.HSA-REI.B.4B

 $y=x^2-6x+8$  

The equation above represents a parabola in the xy-plane. Which of the following equivalent forms of the equation displays the x-intercepts of the parabola as a contants or coefficients?

•  $y-8=x^2-6x$  

•  $y+1=\left(x-3\right)^2$  

•  $y=x\left(x-6\right)+8$  

•  $y=\left(x-2\right)\left(x-4\right)$  

Tags

CCSS.HSF-IF.C.7A

In the xy-plane, the point  $\left(3,6\right)$  lies on the graph of the function  $f\left(x\right)=3x^2-bx+12$  . What is the value of  $b$  ?

• -12

• 11

• 8

• 12

Tags

CCSS.HSF.IF.A.1

In the xy-plane, the parabola with equation $y=\left(x-11\right)^2$ intersects the line with equation $y=25$  at two points, A and B. What is the length of  $\overline{AB}$  . 

• 10

• 12

• 14

• 16

 $y=a\left(x-2\right)\left(x+4\right)$  
In the quadratic equation above,  $a$   is a nonzero constant. The graph of the equation in the xy-plane is a parabola with vertex  $\left(c,d\right)$  . Which of the following is equal to  $d$  ?

•  $-9a$  

•  $-8a$  

•  $-5a$  

•  $-2a$  

 What are the solutions to $3x^2+12x+6=0$ ?

•  $x=-2\pm\sqrt{2}$  

•  $x=-2\pm\frac{\sqrt{30}}{3}$  

•  $x=-6\pm\sqrt{2}$  

•  $x=-6\pm6\sqrt{2}$  

Tags

CCSS.HSA-REI.B.4B

 $9a^4+12a^2b^2+4b^4$  
Which of the following is equivalent to the expression shown above?

•  $\left(3a^2+2b^2\right)^2$  

•  $\left(3a+2b\right)^4$  

•  $\left(9a^2+4b^2\right)^2$  

•  $\left(9a+4b\right)^4$  

Tags

CCSS.HSA.APR.C.4

 $2x\left(3x+5\right)+3\left(3x+5\right)=ax^2+bx+c$  
In the equation above,  $a,\ b,\ and\ c$  are constants. If the equation is true for all values of x, what is the value of b?

• 16

• 10

• 14

• 19

 $3x^2-5x+2$  

 $5x^2-2x-6$  

Which of the following is the sum of the two polynomials shown above?

•  $8x^2-7x-4$  

•  $8x^2+7x-4$  

•  $8x^4-7x^2-4$  

•  $8x^4+7x^2-4$  

Tags

CCSS.HSA.APR.A.1

 $\left(-3x^2+5x-2\right)-2\left(x^2-2x-1\right)$  
If the expression above is rewritten in the form  $ax^2+bx+c$  where  $a,\ b,\ and\ c$  are constants, what is the value of  $b$  ?

• 1

• 9

• -5

• 4

Tags

CCSS.6.EE.A.3