Math Problem Statement

Solve the following math problems: Mandag-tirsdag (Monday-Tuesday): a) 8 = 12 b) y - 3y c) q = (3q + 4) d) 6 - 4 = 25 Onsdag-torsdag (Wednesday-Thursday): e) 2 - (-3) * 4 + 3 * (-8) - 1 f) 2y - (-4y) g) 2a^3 - 3a^2 Fredag-weekend (Friday-Weekend): h) 3(x - 2) i) -4(c - 3)

Solution

The image you uploaded contains a list of mathematical problems divided into three sections. Let's solve each of these problems one by one.

Mandag-tirsdag (Monday-Tuesday)

a) 8=128 = 12

This equation is not valid, as 88 does not equal 1212. There is no solution to this equation.

b) y3yy - 3y

Simplify the expression: y3y=2yy - 3y = -2y

c) q=(3q+4)q = (3q + 4)

Subtract 3q3q from both sides to solve for qq: q3q=4q - 3q = 4 2q=4Divide by 2:-2q = 4 \quad \text{Divide by } -2: q=2q = -2

d) 64=256 - 4 = 25

This is also not a valid equation, as 64=26 - 4 = 2, not 2525. Therefore, there is no solution.

Onsdag-torsdag (Wednesday-Thursday)

e) 2(3)4+3(8)12 - (-3) \cdot 4 + 3 \cdot (-8) - 1 Start by multiplying: 2(12)2412 - (-12) - 24 - 1 Now, remove the parentheses: 2+122412 + 12 - 24 - 1 Simplify the expression: 14241=101=1114 - 24 - 1 = -10 - 1 = -11

f) 2y(4y)2y - (-4y)

Simplify the expression: 2y+4y=6y2y + 4y = 6y

g) 2a33a22a^3 - 3a^2

This is an algebraic expression and cannot be simplified further without specific values for aa.

Fredag-weekend (Friday-Weekend)

h) Multiply in the parentheses: 3(x2)3(x - 2) 3x63x - 6

i) Multiply in the parentheses: 4(c3)-4 \cdot (c - 3) 4c+12-4c + 12

Would you like further details or have any questions about these solutions?

Related Questions:

  1. What are the general steps for solving linear equations?
  2. How can you simplify expressions involving multiple variables?
  3. What are some common mistakes to avoid when solving algebraic expressions?
  4. How do you handle equations that seem to have no solution?
  5. What is the importance of understanding algebraic identities?

Tip:

When working with equations and expressions, always simplify as much as possible before attempting to solve or manipulate them further. This reduces the risk of errors.

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Math Problem Analysis

Mathematical Concepts

Basic Algebra
Arithmetic Operations
Simplification
Distributive Property

Formulas

Distributive Property: a(b + c) = ab + ac

Theorems

Properties of Equality
Basic Arithmetic Operations

Suitable Grade Level

Grades 6-8