Which Expression Has A Value Of 36

Which expression has a value of 36? This intriguing question sets the stage for a captivating journey into the realm of mathematics, where we delve into the fascinating world of algebraic expressions, polynomials, and more. From exploring the operations and order of precedence to uncovering the secrets of quadratic equations and polynomials, this exploration promises to unravel the mysteries behind expressions that yield the value of 36.

As we embark on this mathematical adventure, we will encounter intriguing examples, practical applications, and thought-provoking challenges. Join us as we unravel the complexities of expressions and discover the elegance of mathematics.

Expressions with a Value of 36

Expressions that evaluate to 36 involve various mathematical operations and the order of precedence. These include:

6²
12 × 3
18 + 18
36 ÷ 1
2³ × 3
6(6)
36/2 + 18
12²
12
27 + 9
54
18

Algebraic Expressions, Which expression has a value of 36

Algebraic expressions that simplify to 36 include:

2x + 18 = 36 (x = 9)
y²
6 = 30 (y = 6 or y =
5)
3z
9 = 27 (z = 12)
4(w + 3) = 36 (w = 6)
5(2t
1) = 36 (t = 4)

Polynomials and Factoring

Polynomials with 36 as a root include:

x²
36
(x
6)(x + 6)
(2x
12)(x + 3)
(3x
18)(x + 2)
(4x
24)(x + 1)

Quadratic Equations

Quadratic equations with solutions resulting in 36 include:

x² = 36 (x = 6 or x =
6)
x²
12x + 36 = 0 (x = 6)
2x²
18x + 36 = 0 (x = 3)
3x²
27x + 36 = 0 (x = 3)
4x²
36x + 36 = 0 (x = 3)

Geometry and Area

Rectangles with an area of 36 square units have the following dimensions:

6 cm × 6 cm
9 cm × 4 cm
12 cm × 3 cm
18 cm × 2 cm

Number Theory and Divisibility

has the following factors:
1, 2, 3, 4, 6, 9, 12, 18, 36

Numbers divisible by 36 are divisible by both 4 and 9.

Probability and Combinations

There are 2 combinations of 6 numbers that sum up to 36:

6, 6, 6, 6, 6, 6
4, 4, 4, 4, 9, 9

Real-World Applications

Expressions with a value of 36 are encountered in various practical scenarios, such as:

Calculating the perimeter of a square with a side length of 6 cm (4 × 6 = 24 cm)
Determining the area of a rectangle with a length of 9 cm and a width of 4 cm (9 × 4 = 36 cm²)
Solving for the unknown variable in equations involving 36, such as finding the value of x in 2x + 18 = 36

Answers to Common Questions: Which Expression Has A Value Of 36

What are the factors of 36?

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

How do you solve for the unknown variable in an algebraic expression?

To solve for the unknown variable in an algebraic expression, isolate the variable on one side of the equation by performing inverse operations. Simplify the expression and solve for the variable.

What is the quadratic formula?

The quadratic formula is a mathematical formula that provides the solutions to a quadratic equation of the form ax^2 + bx + c = 0. The formula is: x = (-b ± √(b^2 – 4ac)) / 2a.