Real numbers - high school - practice problems
Number of problems found: 72
- Is complex
Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex? - Exponential equation
Solve exponential equation (in real numbers): 23x-6=9 - Logarithmic equation
Solve equation: log13(7x + 12) = 0 - Equation with abs value
How many solutions has the equation (|x| +x) |x-3| = |x+1| in the real numbers? - Coordinate
Determine the missing coordinate of the point M [x, 11] of the graph of the function f by rule: y = 3x - Evaluate 18
Evaluate the expression (-4-7i)-(-6-9i) and write the result in the form a+bi (Real + i* Imaginary). - According 55551
Complete the other three series members formed according to a specific rule. 1, √2, 9, 2, 25,. ..,. ..,. .. - What is 21
What is the next number? What is the 7th number? 160, 80, 40, 20, 10, _ - The sum 15
The sum of the real numbers x and y is 24. Their difference is 12. What is the value of xy? - Events
Event U has the probability of 0.89. What is the probability that the event U occurs in 4, 2, 8 try? - Equation
Equation f(x) = 0 has roots x1 = 64, x2 = 100, x3 = 25, x4 = 49. How many roots have equation f(x²) = 0? - Root
Use the law of square roots: cbrt (sqrt[2] (sqrt[4] (6))) = sqrt[n] (6) - Domains of functions
F(x)=x²-7x and g(x)=5-x² Domain of (fg)(x) is. .. . . The domain of (f/g)(x). .. - Cotangent
If the angle α is acute, and cotan α = 1/3. Determine the value of sin α, cos α, and tan α. - Factors
Can the expression 4x ² -47.6x +39.6 be factored into rational factors? - Biquadratic
By introducing a new variable, solve the biquadratic equation: - x 4 +277 x² -15876=0 - Open intervals
Open intervals A = (x-2; 2x-1) and B = (3x-4; 4) are given. Find the largest real number for which A ⊂ B applies. - Imaginary numbers
Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related? What is their sum? - Determine 80662
Given the function y = x² - 4x + 3. Determine all real numbers z such that g(x) = g(-2). - Circle
From the equation of a circle: -x² -y² +16x -4y -59 = 0 Calculate the coordinates of the center of the circle S[x0, y0] and the radius of the circle r.
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