Digital SAT Practice Questions

The function \( f \) is defined by the equation \[ f(x) = x^2 - 3x + 2 \] What is the value of \( f(4) \)?...

If \( 3x - 5 = 16 \), what is the value of \( 3x + 2 \)?...

A store is selling a jacket at a \( 20\% \) discount off its original price. If the original price of the jacket is \( \$85 \), what is the discounted price?...

What is the value of \( y \) in the solution \( (x, y) \) to the given system of equations? \[ y = 4x \] \[ 2x + y = 18 \]...

In a triangle, the measures of the interior angles are \( x^\circ \), \( 2x^\circ \), and \( 60^\circ \). What is the value of \( x \)?...

Which of the following expressions is equivalent to \( \frac{x^7}{x^3} \) for all \( x > 0 \)?...

What value of \( x \) satisfies the equation below? \[ 3(2x - 4) + 5 = 4x + 9 \]...

A boutique clothing store buys a jacket from a wholesaler for \( \$40 \). The store marks up the price by \( 50\% \) to set the retail price. Several months lat...

A local food truck sells tacos for \( \$3 \) each and burritos for \( \$5 \) each. On a given day, the food truck sold a total of \( 80 \) items and made a tota...

The height \( h \), in feet, of a toy rocket \( t \) seconds after launch is modeled by the equation: \[ h = -16t^2 + 64t + 10 \] What is the maximum height, in...

In the \( xy \)-plane, line \( k \) passes through the points \( (0, 4) \) and \( (3, 10) \). Line \( m \) is parallel to line \( k \) and has a \( y \)-interce...

A local bakery sells cookies for \( c \) dollars each and brownies for \( b \) dollars each. On Monday, the bakery sold 3 cookies and 4 brownies for a total of ...

A retail store is having a sale where a jacket with an original price of \( \$50.00 \) is discounted by \( 20\% \). After the discount is applied, a sales tax o...

The function \( f \) is defined by the equation \( f(x) = x^2 - 8x + 15 \). What is the minimum value of \( f(x) \)?...

A biologist is studying a population of bacteria in a petri dish. Initially, there are \( 500 \) bacteria in the dish. The population of bacteria doubles every ...

Triangle \( ABC \) and triangle \( DEF \) are similar right triangles, where the vertices \( A \), \( B \), and \( C \) correspond to vertices \( D \), \( E \),...

If \( 3(x - 4) = 2x + 7 \), what is the value of \( x \)?...

A boutique is having a winter clearance sale where all coats are discounted by \( 20\% \) from their original price. If the sale price of a winter coat is \( \$...

The quadratic function \( f \) is defined by \( f(x) = (x - 2)(x + 8) \). For what value of \( x \) does the function reach its minimum value?...

The system of equations below has solution \( (x, y) \). \[ 2x + 3y = 12 \] \[ 4x - y = 10 \] What is the value of \( y \)?...

In triangle \( ABC \), the measure of angle \( A \) is \( 40^\circ \). The measure of angle \( B \) is \( 3 \) times the measure of angle \( A \). What is the m...

A local community garden charges a one-time membership fee of \( 35 \) dollars plus a monthly fee of \( 12 \) dollars for a standard garden plot. If a member pa...

The system of equations is given below, where \( c \) is a constant. \[ 3x - 4y = 12 \] \[ 6x - cy = 15 \] If the system of equations has no solution, what is t...

The function \( f \) is defined by \( f(x) = x^2 - 8x + 21 \). What is the minimum value of \( f(x) \)?...