SAT Pastpaper with Solutions

Line k is defined by . Line j is perpendicular to line k in the xy-plane and passes through the point (0,5). Which equation defines line j?

If x + 4y = 29 and 9x - 20y = -75, what is the value of x?

What is the slope of the graph of   in the xy-plane?

The table shows three values of x and their corresponding values of f(x), where  and a is a constant. What is the value of a?

The table gives the distribution of favorite core subject and grade level for 80 students.

If a student is selected at random, what is the probability of selecting a student whose favorite core subject is Science, given that it is not sixth grade level?

A cone has a radius of cm and a height of cm. What is the volume, in cubic cm, of the cone?

What is the value of the solution to the equation 18 = x + 5?

A rectangle has a length of 18 inches and a width of 15 inches.

What is its perimeter, in inches?

In the given figure,what is the value of c if line m is parallel to line n?

In the xy-plane, the graph of a line with an x-intercept of (c,0) and a y-intercept of (0,k), where c and k are constants, can be represented by the given equation. What is the value of ?

2x + 3y = 12

The relationship between the variables x and y is defined by an exponential equation. When x = 0, the value of y is 68, and for every increase in the value of x by 1, the corresponding value of y increases by of its previous value. Which equation represents this relationship?

If the given function f is graphed in the xy-plane, where y = f(x), what is the y-intercept of the graph?

The function f is defined by . What is the value of ?

How many solutions does the equation 3(5x + 2) = 3(5x - 2) have?

Emily bought 16 toy cars that were each the same price. She used a coupon that gives her 25% off the entire purchase. After using the coupon, she pays a total of $ 300. What was the original price, in dollars, for one toy car?

In the given equation, m and n are constants. The sum and product of the solutions of the equation are 8 and respectively. What is the value of ?