SAT Pastpaper with Solutions

In the xy-plane, line k and line l are perpendicular and intersect at the point (2,7).If line k is defined by the equation y = mx + b,where m and b are constants and m > 1, which of the following points lies on line l ?

According to a US law,ramps for use by the general public must form an angle with level ground such that tan .If the ramp in the figure conforms to this law and has a height of 25.6 inches, what is the least possible value of x, in inches?

If ,what is the value of 7x² ?

The given equation relates the positive numbers f , x , and g .Which equation correctly expresses x in terms of f and g?

The solution to the given system of equation is (x,y).What is the value of y ?
x+23y=39
5x+3y=23

In the xy-plane, the graph of the given equation is a circle.What is the length of a radius of this circle?
(x+7)²+(y+3)²=27²

A team of researchers plans to spend no more than 310 hours in total collecting observation data for two projects. For one of the projects, the team will observe at least 13 emperor penguins and will spend 5 hours observing the behavior of each penguin.For the other project, the team will observe at least 14 Adelie penguins and will spend 7 hours observing the behavior of each penguin.Based on this plan, what is the maximum number of emperor penguins the team can observe?

In the figure shown, triangle CAE is similar to triangle CBD . The measure of angle CBD is 49°, and AE=21(BD) . What is the measure of angle CAE?

If and ,what is the value of c ?

In the linear function f , f(1)=31 and f(9)=31. Which equation defines f?

In the xy-plane, circle F is defined by the equation (x+4)²+(x+4)² = 36.Circle G has the same center as circle F , and the radius of circle G is 3 units greater than the radius of circle F. Circle G is defined by the equation (x +4)²+(x+4)² = p ,where p is a constant.What is the value of p?

A shopper is purchasing oranges that cost $0.54 each. If the shopper has a coupon for $1.8 off the entire purchase and there is no sales tax, which inequality represents the number of oranges, x ,that the shopper can purchase for no more than $12?

In right triangle RST , the sum of the measures of angle R and angle S is 90 degrees. The value of  is. what is the value of ?

A batch of smoothies consists of 5 cups of milk and 3 bananas and has 1,538 milligrams(mg) of calcium. There is 304 mg of calcium in 1 cup of milk. How much calcium, in mg. Is in 1 banana?

In the given equation, k is a constant. The equation has infinitely many solutions. what is the value of k?
121x+87=121x+k

The function f is defined by f(x)=12x-7 , and the function g is defined by g(x)=6-2x ,What is the value of 3f(2)-2g(1) ?

The area of a rectangle is 240 square inches.The length of the longest side of the rectangle is 24 inches. What is the length, in inches, of the shortest side of this rectangle?

The equation gives the speed s, in miles per hour, of a certain car t seconds after it began to accelerate. What is the speed, in miles per hour, of the car 5 seconds after it began to accelerate?
S = 15 + 3t