Solving Functions

Practice Questions

SAT Subject Test in Math I › Solving Functions

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1

Find the point at which these two lines intersect:

$\small 2x+5y=8$

$\small \small \small -2x+2y=-1$

2

Find the equation of the line passing through the points $\small (-3,2)$ and $\small (1,8)$ .

3

A baseball is thrown straight up with an initial speed of 50 feet per second by a man standing on the roof of a 120-foot high building. The height of the baseball in feet, as a function of time in seconds , is modeled by the function

$h(t) = -16t^{2}+50t + 120$

To the nearest tenth of a second, how long does it take for the baseball to hit the ground?

4

Find the roots of the function:
$\small f(x)=x^2+4x-12$

5

A baseball is thrown straight up with an initial speed of 50 feet per second by a man standing on the roof of a 120-foot high building. The height of the baseball in feet, as a function of time in seconds , is modeled by the function

$h(t) = -16t^{2}+50t + 120$

To the nearest tenth of a second, how long does it take for the baseball to hit the ground?

6

Find the equation of the line passing through the points $\small (-3,2)$ and $\small (1,8)$ .

7

Find the point at which these two lines intersect:

$\small 2x+5y=8$

$\small \small \small -2x+2y=-1$

8

Solve: $2^{-3x+6} = \frac{1}{4}$

9

Solve the following function:

$11=x^{2}-5$

10

Determine whether each function represents exponential decay or growth.

$ewline a) ewline y=(\frac{1}{2})^{x}$

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