Solving Equations
Solve for x: x - 12 = 25
x=37
What is the mathematical definition of slope written as a fraction of two directional movements?
Rise/run
A right triangle has legs of length 3 and 4. What is the length of the hypotenuse?
5
If you flip a fair coin twice, what is the probability of getting heads both times?
1/4 or 25%
This type of number can always be written as a simple fraction, like 3/4 or -5/1
Rational number
Solve for x: 4x+7=31
What is the slope of the line represented by the linear equation y = -4x + 9?
-4
In a right triangle, the hypotenuse is 10 and one leg is 6. What is the length of the missing leg?
8
A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. What is the probability of randomly picking a blue marble?
1/4 or 25%
Because it can be simplified perfectly to the whole number 5, the square root of this number is rational.
25
Solve for x: 5x-3=2x+12
x=5
Find the slope of the line that passes through the two points (2, 5) and (5, 11).
2
A 13-foot ladder leans against a wall. If the base of the ladder is 5 feet away from the wall, how high up the wall does it reach?
12 feet
If you roll a standard six-sided die, what is the probability of rolling a number greater than 4?
1/3 or approx 33.3%
Representing the ratio of a circle's circumference to its diameter, this famous symbol is the most well-known irrational number.
Pi
Solve for x: 3(x-4)=2x+5
x=17
What is the slope of a perfectly horizontal flat line?
0
A rectangular computer screen is 12 inches wide and 9 inches tall. What is the length of its diagonal?
15 inches
The probability of a specific target being hit by a dart is 3/7. What is the probability that the target is not hit?
4/7
Because 11 is not a perfect square, the square root of 11 is classified as this type of number.
irrational number
Solve for x: x/3+5=11
x=18
Find the slope of the line given by the equation 3x + 2y = 12.
-3/2 or -1.5
On a map grid, a town is located at (1, 2) and another town is at (9, 8). What is the straight-line distance between the two towns?
10
A drawer contains 6 black socks and 4 white socks. If you pull out two socks one after the other without replacing the first, what is the probability that both are black?
1/3 or approx 33.3%
The decimal 0.333... repeats forever, making it this type of number since it can be written exactly as 1/3
rational number