SaiBook.us Algebra

Lesson Example Discussion Quiz: Class Homework

Example

Title: Test2

Grade: 6-b Lesson: S1-P2

Explanation: The best way to understand algebra is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

Simplify the expression \$ 35 + 9 \times (17-13) \$.

Step 1a

Explanation:

Evaluate the expression:

{ [ (22 + 3) × 6 ] × (3 × (6 + 4) − [ 5 × ( 3 − 2 ) ] ) } ÷ 3.

Step 2a

The given expression is
{ [ (22 + 3) × 6 ] × (3 × (6 + 4) − [ 5 × ( 3 − 2 ) ] ) } ÷ 3

Start with the innermost parentheses:
Inside the first set of square brackets:
(22 + 3) = 25.
Inside the second set of square brackets:
(3 − 2) = 1.
5 × 1 = 5.
Inside the second set of parentheses:
(6 + 4) = 10.
3 × 10 = 30.
Subtract the result of the brackets from the result of the multiplication:
30 − 5 = 25.

Explanation: We simplify the expression by calculating values in the innermost parentheses and brackets separately using addition, subtraction, and multiplication operations.

Step 2b

Now, go back to the main expression:

[(25 × 6) × 25] ÷ 3. Multiply inside the first set of parentheses:

25 × 6 = 150. Now, multiply 150 by 25:

150 × 25 = 3750. Now, divide 3750 by 3:

3750 ÷ 3 = 1250.

Explanation: Simplify the innermost components first, then incorporate the results into the main expression. Resolve the first set of parentheses by multiplying 25 and 6. Next, multiply this result by 25 outside the parentheses. Divide the final product by 3 to find the expression’s solution, yielding 1250.