Using quadratic equations to solve problems

A vibrant and educational illustration showing a variety of quadratic equations, graphs, and geometric shapes like rectangles and triangles, with students engaging with math on a chalkboard.

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

12 Questions3 MinutesCreated by CalculatingStar42

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

25 or -25

Using quadratic equations to solve problems

Quadratic Equations Quiz

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