Solve the equation 7x - 4 = 3x + 16.
Mathematics
Question · Easy
Stats test: find the median
Short
In a right-angled triangle ABC with right angle at A, if AB = 6 cm and AC = 8 cm, what is the length of the hypotenuse BC?
What are the solutions to the quadratic equation: x² - 9 = 0?
Solve the system of linear equations: x + y = 20 x - y = 4
Question · Medium
In a triangle ABC, point M lies on [AB] and point N lies on [AC] such that (MN) is parallel to (BC). If AM = 3 cm, AB = 9 cm, and AN = 4 cm, what is the length of AC?
Factor it
Expand and simplify the algebraic expression: (2x - 3)².
In a right-angled triangle with hypotenuse of length 10 cm and an adjacent side of length 6 cm to angle θ, what is cos(θ)?
In an orthonormal coordinate plane (O, i, j), what is the distance between points A(1, 2) and B(4, 6)?
For which real numbers x is the inequality -2x + 3 < 11 true?
What is the slope (gradient) of the straight line passing through points P(2, 3) and Q(6, 11)?
If vector u has coordinates (3, -2) and vector v has coordinates (-1, 5), what are the coordinates of vector w = u + v?
A linear function f is defined by f(x) = -3x + 7. What is the image of -2 under f?
What is the volume of a right circular cylinder with radius r = 3 cm and height h = 7 cm? (Use π = 22/7)
In a class of 30 pupils, the mean score on a mathematics test was 12. If the 18 boys had a mean score of 11, what was the mean score of the 12 girls?
Question · Hard
Factorize the quadratic expression: 4x² - 25.
What is the simplified form of the square root expression: √(75) - √(12)?
A trader in Nouakchott increases the price of an item by 20%, then during a sale reduces the new price by 20%. How does the final price compare to the original price?
What is the value of x that satisfies the proportion: x / 15 = 4 / 5?
What is the equation of the line passing through point A(0, -3) and parallel to the line with equation y = 4x + 5?
In triangle PQR, if PQ = 5 cm, QR = 12 cm, and PR = 13 cm, what is the nature of triangle PQR?
What is the solution set in ℝ for the equation: (3x - 6)(2x + 8) = 0?
What is the volume of a right pyramid with a square base of side 6 cm and height 10 cm?
If tan(α) = 1 in a right-angled triangle, what is the measure of the acute angle α in degrees?
A right cone has a base radius of 3 cm and a slant height (génératrice) of 5 cm. What is its vertical height?
What is the median of the following set of 7 data values: 8, 14, 6, 19, 12, 10, 15?
What is the weight (in newtons) on Earth of an object with a mass of 15 kg, assuming gravitational field strength g = 9.8 N/kg?
Physical Sciences
According to Ohm's Law (U = R × I), what is the current flowing through a 40-ohm resistor connected across a 120-volt direct current source?
Two resistors with resistances R1 = 20 Ω and R2 = 30 Ω are connected in series. What is the equivalent resistance of the circuit?
What electrical energy (in watt-hours) is consumed by a 1,500-watt electric water heater operating for 2 hours?
Which of the following values indicates a strongly acidic aqueous solution at 25°C?
What gas is produced when hydrochloric acid reacts with iron or zinc metal?
What is the chemical formula of carbon dioxide produced during complete combustion of butane?
A vehicle travels at a steady speed of 72 km/h. What is this speed expressed in meters per second (m/s)?
What instrument is connected in series in an electric circuit to measure electric current?
What form of mechanical energy is possessed by a boulder perched at the edge of a high cliff in the Adrar plateau before it moves?
What are the four essential characteristics that define a mechanical force vector in physics?
What is the molar mass of water (H2O), given atomic masses H = 1 g/mol and O = 16 g/mol?
What type of lens is thicker in the middle than at the edges and causes parallel light rays to converge to a real focal point?
What is the mass concentration (in g/L) of a solution prepared by dissolving 25 grams of sodium chloride in water to make a total volume of 500 mL?
Which principle states that the total mass of reactants in a closed chemical reaction equals the total mass of the products?
What is the buoyant upward force (poussée d'Archimède) exerted on an object completely submerged in water with a volume of 0.002 m³? (Density of water = 1,000 kg/m³, g = 10 N/kg)
What is the chemical test used to confirm the presence of carbon dioxide gas (CO2)?
What is the power rating of an electrical appliance that draws 5 A of current when operated at 220 V?
Which of these transformations releases heat to its surroundings, making it exothermic?
What is the frequency of an alternating current in hertz if its period T is 0.02 seconds?
In human digestion, what is the primary digestive enzyme found in saliva that initiates the chemical breakdown of cooked starch into maltose?
Natural Sciences
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