Real numbers - practice problems - page 5 of 9

Number of problems found: 165

Factors
Can the expression 4x ² -47.6x +39.6 be factored into rational factors?
The sum 15
The sum of the real numbers x and y is 24. Their difference is 12. What is the value of xy?
What is 21
What is the next number? What is the 7th number? 160, 80, 40, 20, 10, _
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?
Exponential equation
Solve exponential equation (in real numbers): 2^3x-6=9
Fraction halfway number
Which number is halfway between a quarter of a fifth and a half of a third on the number line?
Discounts on rail (ZSSK)
The railway company ZSSK offers a discount of 40% (SENIOR RAILPLUS) for 9.9 Eur/year. Calculate the real discount rate as a percentage, where passengers will travel 5 Eur per week.
Wire D
A wire of length 6 m is bent to form the perimeter of a semicircle (including the diameter). Determine the radius of the semicircle.
Rectangle SS
The perimeter of a rectangle is 154 dm and its diagonal is 62.36 dm. Find the dimensions of the rectangle.
EQ2 - symetric results
Given the function y = x² - 4x + 3. Determine all real numbers z such that g(x) = g(-2).
Forestry workers
84 laborers have been employed to plant trees in the forest. For 9 hour work a day, they would end job in 38 days. After 18 days, 6 laborers leave. How many days are needed to complete planting trees in nurseries by others if they work 12 hours a day?
Permutations with repetitions
How many ways can the digits 1, 2, 2, 3, 3, 3, 4 be permuted into four-digit, three-digit, and two-digit numbers without repetition? Example: 4 digits: 1223, 2213, 3122, 2313, 4321, etc. 3 digits: 122, 212, 213, 432, etc. 2 digits: 12, 21, 31, 23 Note: I
Garden
The square garden area is 2/9 of a triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing are needed to fence a square garden?
Sequentially pick
There are 6 different tickets marked with numbers 1 to 6 in the pocket. In how many different ways can we sequentially, taking into account the order, choose three of them, if the chosen tickets return to the pocket?
Rhombus ABCD
Rhombus ABCD, |AC| = 63 cm, |BD| = 50 cm. Calculate the perimeter of the rhombus ABCD.
Diagonals of the rhombus
Calculate the height of a rhombus whose diagonals are 18 cm and 6 cm.
Calculate: 2
Calculate: 1. Write the given sets as intervals, represent graphically: {x ∈ R; 2< x ≤ 5} = {x ∈ R; 3 ≥ x} = {x ∈ R+; x < 4} = {x ∈ R; x < 4 ∧ x ≥ -1} = 2. List all elements of the following sets, write into set brackets: A = { x Є N; x ≤ 5 } A = B
Distance of numbers
Which number has the same distance from the numbers -5.65 and 7.25 on the numerical axis?
Number line midpoint
You will find an unknown number on the number line between 428 and the unknown number 290.

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