A container holds 25 blue marbles and some red marbles. If the probability of selecting a red marble at random is 2/7, how many red marbles are in the container?

A hiker walks 8 miles east and then 15 miles north. Approximately how far is the hiker from the starting point?

What is the smallest positive integer that is divisible by 3, divisible by 4, and divisible by 5 (with no remainders)?

A rectangle has a length that is twice its width. If both the length and width are tripled, how many times as large is the area of the new rectangle?

A circle has a radius of 13 centimeters. A chord perpendicular to the radius is 5 centimeters from the center of the circle. What is the length, in centimeters, of the chord?

In triangle PQR, S is on QR, PS is perpendicular to QR, PR = 10, and sin r = 0.6. How many units long is SR?

Mia guesses on a 5–question quiz. Each question has 4 answer choices, and only 1 answer is correct. If she guesses randomly on every question, what is the probability that she answers all 5 questions correctly?

If 4ˣ = 64, then x = ?

What is the smallest value of x that is a solution to |x + 4| = 7 ?

A rectangular patio is 9 feet wide and 15 feet long. About how many feet long is the diagonal from one corner to the opposite corner?

Carlos has a bowl containing 60 pieces of candy: 14 cherry, 16 grape, 12 apple, and 18 lemon. If Carlos randomly selects one piece of candy, what is the probability that the candy is cherry or apple?

The average number of books read by Liam, Noah, and Ava over the summer was 18. The average number of books read by Liam, Noah, Ava, and Emma was 16. How many books did Emma read?

The measures of the interior angles of a triangle are in the ratio 2:5:8. What is the measure of the triangle’s largest interior angle?

The diagonals of the rectangle WXYZ intersect at point (4,6). Point W is at (1,2). What are the coordinates of Y?

For all x, 3(−2x)² is equivalent to:

Maria is building a rectangular dog run that measures 14 feet by 11 feet. One of the 14–foot sides will rest against her garage, so she only needs to fence the other 3 sides. How many feet of fencing does she need?

A bicycle wheel rotates through 360° in 1 full turn. If the wheel rotates through 1,260°, how many full turns does the wheel make?

What ordered pair (x, y) satisfies the system below?

x + y = 6
x − y = 2

If 5x/3 − 7 = 8, then x = ?

To make a trail mix, almonds are added to a mix of raisins and pretzels. The ratio of the weight of raisins to the weight of pretzels is 4:3. To make 2,800 grams of this raisin–and–pretzel mix, how many grams of raisins are needed?

Six cards are labeled with the integers 1 through 6. Two cards are selected at random without replacement. What is the probability that the sum of the numbers selected is 7?

A scale model of a building uses a ratio of 1 inch to 12 feet. If the actual building is 180 feet tall, how tall is the model?

Sophia’s test average after 4 tests was 88. Her score on the 5th test was 92. If all 5 tests were weighted equally, which of the following is closest to her new test average?

The average of 8 numbers is 12. If each number is increased by 5, what is the average of the 8 new numbers?

A game uses a deck of 48 cards with 12 cards each in purple, orange, black, and white. Each color has cards numbered 1 through 12. If one card is selected at random, what is the probability that the card is black or has an odd number?

What is the value of x in the system below?

3x + y = 2a
3x − y = 2b

One endpoint of a line segment is located at (4, –6). The midpoint of the segment is (0, 1). What are the coordinates of the other endpoint?

A paint color is created by mixing 5 parts blue paint with 3 parts white paint. To make 32 gallons of paint, how many gallons of white paint are needed?

Larsa’s average score after 5 quizzes in biology was 82 points. Her scores on the first 4 quizzes were 75, 80, 84, and 91. What was her score on the 5th quiz?

For all real numbers m and n, 3m + 5n − 2(m + n) = ?