Digital SAT Practice Questions

In the equation $y = 350(1.045)^x$, what does 350 represent?...

A savings account starts with $1,500 and earns 3% annual interest compounded monthly. Which equation gives the balance $A(t)$ after $t$ years?...

A substance has mass $m(t) = 400(0.5)^{t/5}$. What is the mass of the substance when $t = 15$?...

The population of a town is $P(t) = 12,000(1.025)^t$. By what percentage does the population grow over a 10-year period?...

A computer processor speed doubles every 18 months. If its current speed is $S_0$, which function gives the speed after $m$ months?...

If $f(x) = 4(3)^x$, what is the value of $f(3) - f(2)$?...

For the exponential function $g(x) = a \cdot b^x$, $g(0) = 5$ and $g(1) = 15$. What is $g(3)$?...

A sample of iodine-131 decays according to $A(t) = 160e^{-0.0866t}$, where $t$ is in days. What was the initial mass?...

An invasive plant species covers an area modeled by $A(w) = 15(1.20)^w$ square meters after $w$ weeks. What is the weekly percent increase?...

If $2^{x+3} = 64$, what is the value of $x$?...

Simplify the expression $\sqrt{72x^4}$ for $x > 0$....

Which expression is equivalent to $x^{5/3}$ for all $x > 0$?...

Evaluate $(27)^{-2/3}$....

If $x^{3/4} = 8$, what is the value of $x$?...

Simplify $\frac{x^{7/2}}{x^{3/2}}$ for $x > 0$....

Which value is equivalent to $\sqrt[4]{16x^8}$ for $x > 0$?...

Express $\sqrt{x \sqrt{x}}$ in exponential form for $x > 0$....

If $\sqrt{3x + 1} = 5$, what is the value of $x$?...

Solve for $x$: $\sqrt{2x + 7} = x - 4$....

What is the extraneous solution of $\sqrt{x + 2} = x$?...

If $(x^a)^b = x^{12}$ and $x^a \cdot x^b = x^7$, what is $|a - b|$?...

Simplify $(8a^3b^6)^{1/3}$....

Solve $\sqrt[3]{2x - 5} = 3$....

If $2\sqrt{x - 1} + 3 = 11$, what is the value of $x$?...