SAT Math Prep

Question 1

If g\left(x\right)=3x^2+2and f\left(x\right)=\frac{x+1}{x}, what is g(f(x))?

Accepted Answer

g\left(f\left(x\right)\right)=3\left(\frac{x+1}{x}\right)^2+2

Question 2

Change the standard form equation x^2+4x+6 to vertex form.

Accepted Answer

y=\left(x+2\right)^2+2

Question 3

Find the measure of angle 5 using the Alternate Angle Theorem if angle 2 is equal to 55 degrees.

Accepted Answer

125 degrees

Question 4

What is the complex conjugate of (a + bi)?

Accepted Answer

a-bi

Question 5

Factor f(x)= 3x2-5x-2.

Accepted Answer

f(x)= (3x+1)(x-2)

Question 6

What is the length of the hypotenuse y when both "legs" (sides) are equal to 1?

Accepted Answer

y=2\sqrt{2}

Question 7

What is the equation of a circle in standard form?

Accepted Answer

r2 = (x - h)2 + (y - k)2

Question 8

Zach is driving at 30 mph and is 45 miles away from home. Form a function to find the time needed for him to get home.

Accepted Answer

0=45-30t

Question 9

Which shows the correct quadratic formula?

Accepted Answer

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Question 10

Which of these strategies could you use to determine the length of the line with the given endpoints?

Accepted Answer

the pythagorean theorem

Question 11

Which equation is the point-intercept form of a line?

Accepted Answer

y=mx+b

Question 12

What is the area of a circle?

Accepted Answer

A=\pi r^2

Question 13

What are the factors of the following equation: f(x)= x2 + x - 6

Accepted Answer

y = (x - 2)(x + 3)

Question 14

Which trigonometric identity would you use to solve for x ?

Accepted Answer

sin(37)

Question 15

Which variable represents the slope in the equationy-y_1=m\left(x-x_1\right)?

Accepted Answer

m

Questions 15