SAT Math Practice Set 7

In a cafeteria, a sandwich costs ‘s’ dollars and a drink costs ‘d’ dollars. If Tom buys 3 sandwiches and 2 drinks, and spends $20, which equation represents Tom’s purchases?

Consider the function g\left(d\right)=500{(0.75)}^d , which models the decay of a radioactive substance. The function represents the remaining quantity of the substance after d days, where d is the number of days since the start of an experiment. Given 0\le d\le10 , if z = g(d) is plotted on the dz-plane, which of the following interpretations best fits the z-intercept of the graph in this context?

Which of the following is the median of the data set 12, 15, 18, 20, 20, 22, 25, 26?

What is the value of (x + y)² according to the solution of the below system of equations?

2x – y = 3
x + 2y = 4

The expression x = 2y² – k shows a relationship between variables x,  y, and constant k. Which of the following equations expresses the variable y in terms of variable x and constant k?

In a survey, 45% of participants preferred coffee over tea. If the survey included 500 participants, how many preferred coffee?

If the slope of a line is 2, then for what value of p another line 3x + py = 7 becomes perpendicular to the first line?

Triangle ABC is similar to triangle DEF. If the length of AB is 6 cm and the length of DE is 9 cm, what is the length of BC if the length of EF is 13.5 cm ?

In triangles XYZ and UVW, angles Y and V each have measure 30° and angles Z and W each have measure 45°. Which additional piece of information is sufficient to determine whether triangle XYZ is similar to triangle UVW?

The equation 3x² – 2x + 1 = 0 has: