PSAT Practice Test 3 (no calculator)

What are the coordinates of the vertex in the equation below?

 $y=2x^2−12x+13$  

• (4,5)

• (-4,5)

• (3,-5)

• (-3,5)

Solve for the roots of this equation:

 $y=2x^2+3x−9$  

•  $x=-\frac{3}{2}$  and $x=3$  

•  $x=\frac{3}{2}$  and $x=-3$  

•  $x=0$  and  $x=-\frac{3}{2}$  

•  $x=0$  and  $x=\frac{3}{2}$  

Tags

CCSS.HSA-REI.B.4B

Which of these equations will show the parabola with the widest opening when graphed?

• $y=-\frac{3}{4}x^2+x-\frac{1}{2}$

• $y=2x^2-5x+8$

• $y=\frac{1}{2}x^2+3x+5$

• $y=x^2+2x-3$

Tags

CCSS.HSF-IF.C.7A

The function f(r) = r² + 3 is shifted 4 units down and 5 units to the right. Which function shows this transformation?

• g(r) = (r + 5)² - 1

• g(r) = r² - 5r - 4

• g(r) = r² - 10r + 24

• g(r) = (r - 4)² + 5

Determine which line is perpendicular to:

 $\frac{y}{2}-1=3\left(x+1\right)$  

•  $x=-3\left(-5+2y\right)$  

•  $6x=-y+15$  

•  $y=6x-4$  

•  $\frac{1}{2}\left(y-3\right)=3\left(x-5\right)$  

The sine of angle B in the right triangle ABC is  $\frac{4}{5}$  . What is cos (B)?

Tags

CCSS.HSG.SRT.C.7

The equation of a circle is given as:

 $\left(x-5\right)^2+\left(y-12\right)^2=r^2$ 

 What is r, if it is twice the distance from the center of the circle to the origin?

Tags

CCSS.HSG.GPE.A.1

Simplify:  $\frac{a^2b^{\frac{1}{2}}b}{a^{\frac{1}{2}}ab^2}$  

•  $\frac{b^{\frac{1}{2}}}{a^{\frac{1}{2}}}$  

•  $\frac{a}{b}$  

•  $\frac{ab}{b}$  

•  $\frac{a^{\frac{1}{2}}}{b^{\frac{1}{2}}}$  

Tags

CCSS.HSA.APR.A.1

What is 1 radian equal to in degrees?

• $\frac{\pi}{90}$

• $\frac{180}{\pi}$

• $\frac{90}{\pi}$

• $2\pi$

Tags

CCSS.HSF.TF.A.1

Which linear equation shows the relationship between variables x and y, if (0, -2), (1, 1), and (5, 13) are points on the line?

• 3x - y = 2

• x = 3y - 2

• y = x + 12

• y = 5x - 13

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2