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Questions and Answers
What is the value of y when $x = 12$ in the equation $y = x + 26$?
What is the value of y when $x = 12$ in the equation $y = x + 26$?
- 34
- 42
- 38 (correct)
- 46
If $b = 20$ cm and $h = 45$ cm, then the area of the triangle is 450 cm².
If $b = 20$ cm and $h = 45$ cm, then the area of the triangle is 450 cm².
True (A)
What is the formula for the average A of four numbers m, n, p, and q?
What is the formula for the average A of four numbers m, n, p, and q?
A = \frac{m+n+p+q}{4}
The formula for the product P of three numbers x, y, and z is P = ______.
The formula for the product P of three numbers x, y, and z is P = ______.
Match the following formulas with their description:
Match the following formulas with their description:
Flashcards
Find y when x = 12, y = x + 26
Find y when x = 12, y = x + 26
Substitute the value of x (12) into the equation y = x + 26 to calculate the value of y.
Find a when x = 2, y = -1, and z = -3, a= (y^2 - xz)/5
Find a when x = 2, y = -1, and z = -3, a= (y^2 - xz)/5
Substitute the given values of x, y, and z into the equation for a and perform the calculation. Remember the order of operations (PEMDAS/BODMAS).
Find area of triangle, A = 1/2bh, b = 20cm, h = 45cm
Find area of triangle, A = 1/2bh, b = 20cm, h = 45cm
Substitute the values for base (b) and height (h) into the formula A = (1/2) * b * h to find the area(A).
Find height (h) of triangle, A=30cm^2, b=10cm, A = (1/2)bh
Find height (h) of triangle, A=30cm^2, b=10cm, A = (1/2)bh
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Formula for average A of four numbers m,n,p,q
Formula for average A of four numbers m,n,p,q
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Study Notes
Exercise 5B
-
Basic Level
- If y = x + 26, find y when x = 12. y = 38
- If a = (y² - xz)/5, find a when x = 2, y = -1, and z = -3. a = 1
- If S = 4πr², find S when r = 10½. S = 1386
- Find the positive value of r when S = 616. r = 14
-
Intermediate Level
- If k = p + 2q, find p when k = 7 and q = 9. p = -11
- If U = πr(r+h), find r when U = 16 and h=2. (π is ~22/7) r = 2
- If v² = u² + 2gs, find s when v = 25, u = 12 and g = 10. s = 2.5.
- If (1/a) - (1/b) = (1/c) and a = 3, b = 4, and d = -5, find c. c = -12
- If (1/c) = (1/a) + (1/b) + (1/d), find c when a = 1/1, b = 1/2 and d=1/4. c=1/5
Triangle Area
- The area of a triangle is calculated using the formula: A = ½bh where b is the base length and h is the height respectively.
- If the base is 20 cm and the height is 45 cm, calculate A? A = 450 cm²
- If the area is 30 cm² and the base is 10 cm, find the height? h = 6 cm
Other Formulas
- Product P of three numbers x, y and z = xyz
- Sum S of the square of p and the cube of q = p² + q³
- Average A of four numbers m, n, p and q = (m+n+p+q)/4
- Time T, in minutes, for a train journey of a hours b minutes = 60a +b
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