Digital SAT Practice Questions

A clothing store is having a clearance sale where all items are discounted by 20% off their original prices. If the sale price of a winter jacket is $64, what w...

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 \( f(x) \)?...

Which of the following is equivalent to the expression \( x^{\frac{5}{3}} \) for \( x > 0 \)?...

>32° >10 >B >C >A >? >E >F >D Note: Figure not drawn to scale. In right triangle \( ABC \), angle \( C \) is a right angle. Triangle \( DEF \) is similar to tri...

A local theater sells tickets for an upcoming play. Adult tickets cost \( \$15 \) and child tickets cost \( \$9 \). The theater sold a total of \( 150 \) ticket...

If \( \frac{x^{a^2}}{x^{b^2}} = x^{16} \), where \( x > 1 \), and \( a + b = 2 \), what is the value of \( a - b \)?...

The equation \( y = -2x^2 + 12x - 10 \) is graphed in the \( xy \)-plane. What is the \( y \)-coordinate of the vertex of the parabola?...