Math Problem Statement

Simplify the algebraic expressions.

Solution

The image contains a set of algebraic expressions that require simplification. Let's go through each question one by one:

  1. Sederhanakan bentuk 9+7x19 + 7x - 1:

    • Combine like terms: 91=89 - 1 = 8 So, the simplified form is: 7x+87x + 8
  2. Sederhanakan bentuk 7x8x+127x - 8x + 12:

    • Combine like terms: 7x8x=x7x - 8x = -x So, the simplified form is: x+12-x + 12
  3. Sederhanakan bentuk 72xx+57 - 2x - x + 5:

    • Combine like terms: 2xx=3x-2x - x = -3x 7+5=127 + 5 = 12 So, the simplified form is: 3x+12-3x + 12
  4. Sederhanakan bentuk 9a+2a+5+39a + 2a + 5 + 3:

    • Combine like terms: 9a+2a=11a9a + 2a = 11a 5+3=85 + 3 = 8 So, the simplified form is: 11a+811a + 8
  5. Sederhanakan bentuk operasi aljabar 7c+2c+667c + 2c + 6 - 6:

    • Combine like terms: 7c+2c=9c7c + 2c = 9c 66=06 - 6 = 0 So, the simplified form is: 9c9c
  6. Sederhanakan bentuk operasi aljabar 6a+7b+5c+2a3b+7c6a + 7b + 5c + 2a - 3b + 7c:

    • Combine like terms: 6a+2a=8a6a + 2a = 8a 7b3b=4b7b - 3b = 4b 5c+7c=12c5c + 7c = 12c So, the simplified form is: 8a+4b+12c8a + 4b + 12c
  7. Sederhanakan bentuk operasi aljabar 5a6b+12a+10b35a - 6b + 12a + 10b - 3:

    • Combine like terms: 5a+12a=17a5a + 12a = 17a 6b+10b=4b-6b + 10b = 4b The constant term is 3-3. So, the simplified form is: 17a+4b317a + 4b - 3
  8. Sederhanakan bentuk operasi aljabar 8m3n+12m+10n58m - 3n + 1 - 2m + 10n - 5:

    • Combine like terms: 8m2m=6m8m - 2m = 6m 3n+10n=7n-3n + 10n = 7n 15=41 - 5 = -4 So, the simplified form is: 6m+7n46m + 7n - 4
  9. Sederhanakan bentuk operasi aljabar 2c+3x5m+2c+3x+52c + 3x - 5m + 2c + 3x + 5:

    • Combine like terms: 2c+2c=4c2c + 2c = 4c 3x+3x=6x3x + 3x = 6x The constant term is +5+5. So, the simplified form is: 4c+6x5m+54c + 6x - 5m + 5
  10. Sederhanakan bentuk operasi aljabar 4c+3m22(4m5)4c + 3m - 2 - 2(4m - 5):

    • Expand the expression: 2(4m5)=8m+10-2(4m - 5) = -8m + 10
    • Combine like terms: 4c+3m28m+104c + 3m - 2 - 8m + 10 3m8m=5m3m - 8m = -5m 2+10=8-2 + 10 = 8 So, the simplified form is: 4c5m+84c - 5m + 8

Would you like more details on any of the steps, or do you have any questions? Here are 5 questions to expand on this:

  1. How do you handle like terms in algebraic expressions?
  2. What is the process of distributing multiplication over subtraction?
  3. Can algebraic expressions be simplified further when there are no like terms?
  4. What are the rules for combining constants in an expression?
  5. How do you simplify expressions with multiple variables and constants?

Tip: Always start by identifying and grouping like terms to simplify expressions efficiently!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Simplification of Expressions
Combining Like Terms

Formulas

Combine like terms: a + b + c = sum
Distributive property: a(b + c) = ab + ac

Theorems

Basic Algebraic Operations

Suitable Grade Level

Grades 7-9