SAT2-MATHEMATICS Online Practice Questions and Answers

Correct Answer: E

Explanation:

Perpendicular lines have slopes that are negative reciprocals of each other. The slope of the line given is 2/1.

The negative reciprocal of 2/1 is 1/2. Every line with a slope of -3/4 is perpendicular to the given line; y= 3/2x + i5 is perpendicular to y = 2/3x – i.

Correct Answer: D

The midpoint of a line is equal to the average x-coordinates and the average y-coordinates of the line's endpoints:

The other endpoint of this line is at (9,–1).

Correct Answer: C

Be careful not to count the same set of three paintings more than once -- order is not important. A ninechoose-three combination is equal to

Correct Answer: E

Simplify the numerator

Simplify the denominator:

Divide the numerator and denominator by 2:

Correct Answer: A

Solve 2a2+b= 10 for b: b=10-2a2. Substitute (10-2a2) for b in the second equation and solve for a:

The positive value of a is 3

Correct Answer: A

To increased by 50%, multiply d by 1.5:d= 1.5d. To find 50% of 1.5d, multiply 1.5d by 0.5: (1.5d)(0.5) = 0.75d. Compared to its original value, d is now 75% of what it was. The value of d is now 25% smaller.

Correct Answer: E

Explanation:

If the average of five consecutive odd integers is –21, then the third integer must be –21. The two larger

integers are –19 and –17 and the two lesser integers are –23 and –25. –25 is the least of the five integers.

Remember, the more a number is negative, the less is its value.

Correct Answer: D

Correct Answer: A

Explanation:

The equation of a parabola with its turning point five units to the right of the y-axis is written as y = (x - 5)2.

The equation of a parabola with its turning point four units below the x-axis is written as y = x2- 4.

Therefore, the equation of a parabola with its vertex at (5, 4) is y= (x - 5)2 – 4.

Correct Answer: A

The number of yellow marbles, 24, is 24/8=3 times larger than the number of marbles given in the ratio. Multiply each number in the ratio by 3 to find the number of each color of marbles. There are 3(3) = 9 red marbles and 4(3) = 12 blue marbles. The total number of marbles in the sack is 24 + 9 + 12 = 45.

Correct Answer: B

Every face of a cube is a square. The diagonal of a square is equal to S2 where s is the length of a side of the square. If S2 = 42 then one side, or edge, of the cube is equal to 4 in. The volume of a cube is equal to e3,where is the length of an edge of the cube. The volume of the cube is equal to (4 in)3= 64 in 3.

Correct Answer: B

If r is the radius of this circle, then the area of this circle, r2, is equal to four times its circumference, 2r: r2= 4(2r), r2= 8r,r2= 8r,r= 8 units. If the radius of the circle is eight units, then its circumference is equal to 2(8) = 16 units.

Correct Answer: D

The area of a square is equal to the length of a side, or edge, of the square times itself. If the area of a square face is 121 square units, then the lengths of two edges of the prism are 11 units. The volume of the prism is 968 cubic units. The volume of prism is equal to, where is the length of the prism, w is the width of the prism, and h is the height of the prism. The length and width of the prism are both 11 units. The height is equal to: 968 = (11)(11) h, 968 = 121= 8. The prism has two square faces and four rectangular faces. The area of one square face is 121 square units. The area of one rectangular face is (8)(11) = 88 square units. Therefore, the total surface area of the prism is equal to: 2(121) + 4(88) = 242 + 352 = 594 square units.

Correct Answer: B

Explanation:

Angles OBE and DBO form a line. Since there are 180 degrees in a line, the measure of angle DBO is

180– 110 = 70 degrees. OB and DO are radii, which makes triangle DBO isosceles, and angles ODB and

DBO congruent. Since DBO is 70 degrees, ODB is also 70 degrees, and DOB is 180 – (70 + 70) =180–

140 = 40 degrees. Angles DOB and AOC are vertical angles, so the measure of angle AOC is also 40

degrees. Angle AOC is a central angle, so its intercepted arc, AC, also measures 40 degrees.

Correct Answer: C

There are ten coins in the bank (1 penny + 2 quarters + 4 nickels + 3 dimes). The two quarters and three dimes are each worth more than five cents but less than 30 cents, so the probability of selecting one of these coins is