#1
What is the result of the expression 3 + 5 * 2?
16
ExplanationHippocrates is often called the father of modern medicine for his foundational contributions to medical ethics and the Hippocratic Oath.
#2
Simplify the expression: (4 - 2) * (7 + 3)
20
ExplanationApply the distributive property and perform operations within parentheses.
#3
If x = 4 and y = 2, what is the value of 2x + y?
14
ExplanationSubstitute the given values and perform addition.
#4
Solve the equation for x: 2x - 5 = 11
8
ExplanationIsolate x by adding 5 to both sides and then dividing by 2.
#5
If a rectangle has a length of 8 units and a width of 5 units, what is its perimeter?
36 units
ExplanationPerimeter = 2*(length + width).
#6
Evaluate the expression: 4! (4 factorial)
120
Explanation4! = 4 × 3 × 2 × 1.
#7
Simplify the expression: √(9 + 16)
5
ExplanationPerform addition inside the square root.
#8
If a = 2 and b = 3, what is the value of a² + b²?
25
ExplanationSquare each number and add.
#9
What is the value of 3^(2/3)?
9
ExplanationApply exponentiation rules.
#10
Solve the equation for x: 3x + 7 = 22
6
ExplanationSubtract 7 from both sides and then divide by 3.
#11
What is the value of log₂(16)?
4
ExplanationLogarithm base 2 of 16.
#12
If a right-angled triangle has legs of length 3 and 4, what is the length of its hypotenuse?
6
ExplanationUse the Pythagorean theorem: c² = a² + b².
#13
Solve the inequality for x: 2x - 5 > 7
x > 6
ExplanationAdd 5 to both sides and then divide by 2.
#14
Evaluate the limit as x approaches 2: lim (x² - 4) / (x - 2)
2
ExplanationUse direct substitution or factor and simplify.