Using quadratic equations to solve problems
Quadratic Equations Quiz
Test your understanding of quadratic equations and their applications through a series of engaging problems. This quiz covers topics including factoring, expanding equations, and finding solutions to real-world scenarios.
Get ready to:
- Explore various quadratic equations
- Expand and factor expressions
- Solve real-world problems involving areas and dimensions
1. The product of a number and 2 more than the same number is 48. a) choose the correct equation to represent this
X(x+2) = 48
X(x-2) = 48
X(x-2) = - 48
x(x+2) = - 48
1. The product of a number and 2 more than the same number is 48. b) expand x(x+2) = 48
X^2 - 2x + 48 = 0
X^2 + 2x - 48 = 0
X^2 - 2x - 48 = 0
X^2 + 2x + 48 = 0
1. The product of a number and 2 more than the same number is 48. c) factorise x^2 + 2x - 48 = 0
(x-2)(x+24) = 0
(x-12)(x+4) = 0
(x - 6) (x + 8) = 0
(x - 16) (x + 3) = 0
1. The product of a number and 2 more than the same number is 48. d) choose the correct solutions for (x - 6) (x + 8) = 0
6 or - 8
- 6 or - 8
- 6 or 8
6 or 8
2. The length of a rectangular brochure is 5 cm more than its width, and the area of the face of the brochure is 36 square cm. a) choose the correct equation to represent this
X (5 - x) = 36
X (5 + x) = 36
- x (5+x) = 36
X (5 - x) = - 36
2. The length of a rectangular brochure is 5 cm more than its width, and the area of the face of the brochure is 36 square cm. b) expand x (5 + x) = 36
5x + 2x -36 = 0
X^2 + 5x -36 = 0
X^2 - 5x -36 = 0
5x - x^2 -36 = 0
2. The length of a rectangular brochure is 5 cm more than its width, and the area of the face of the brochure is 36 square cm. c) factorize x^2 + 5x -36 = 0
(x-1)(x+36)=0
(x -2) (x+18)=0
(x-4)(x+9)=0
(x-6) (x+6)=0
2. The length of a rectangular brochure is 5 cm more than its width, and the area of the face of the brochure is 36 square cm. d) choose the correct solutions for (x-4)(x+9)=0
4 or 9
-4 or -9
-4 or 9
4 or -9
2. The length of a rectangular brochure is 5 cm more than its width, and the area of the face of the brochure is 36 square cm. e) choose the feasible dimensions of the brochure
4 and 9
4 and -9
3. An isosceles triangle has height (h) equal to half its base length. a) choose the correct equation to represent it if the area is 25 square units.
1/2 x h x 2h = 25
1/2 x 3h = 25
1/2 x 4h = 25
1/2 x 4h = 50
3. An isosceles triangle has height (h) equal to half its base length. b) simplify 1/2 x h x 2h = 25
2h^2 = 25
3/2 h = 25
2h^2 = 50
3h = 50
3. An isosceles triangle has height (h) equal to half its base length. c) find the value of h
5 or -5
5
-5
25 or -25
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