We read your photo as:

Complete Task II: calculations with squares, square roots, simplifying expressions, and solving equations.

Mathematics

ScanSolve AI Answer

Step-by-step solution

13 steps

here are the solutions for Task II:

  1. The table is already completed in the image provided.

  2. Find: *a) 32+523^2 + 5^2

  1. Calculate the squares.

    $$
    3^2 = 9
    $$
    $$
    5^2 = 25
    $$
    
  2. Add the results.

    $$
    9 + 25 = 34
    $$
    $$
    \boxed{\text{34}}
    $$
    
    *b) $\sqrt{49}$
    
  3. Find the square root of 49.

    $$
    \sqrt{49} = 7
    $$
    $$
    \boxed{\text{7}}
    $$
    

    3. Simplify the following expressions. *a) (2x+3)+(x−5)(2x + 3) + (x - 5)

  4. Remove the parentheses.

    $$
    2x + 3 + x - 5
    $$
    
  5. Combine like terms.

    $$
    (2x + x) + (3 - 5) = 3x - 2
    $$
    $$
    \boxed{\text{3x - 2}}
    $$
    
    *b) $(3x^2 - 2x + 1) - (x^2 + x - 4)$
    
  6. Remove the parentheses, distributing the negative sign to the second expression.

    $$
    3x^2 - 2x + 1 - x^2 - x + 4
    $$
    
  7. Combine like terms.

    $$
    (3x^2 - x^2) + (-2x - x) + (1 + 4) = 2x^2 - 3x + 5
    $$
    $$
    \boxed{\text{2x^2 - 3x + 5}}
    $$
    
    *c) $2(x + 4) - 3(x - 2)$
    
  8. Distribute the numbers into the parentheses.

    $$
    2x + 8 - 3x + 6
    $$
    
  9. Combine like terms.

    $$
    (2x - 3x) + (8 + 6) = -x + 14
    $$
    $$
    \boxed{\text{-x + 14}}
    $$
    

    4. Solve the following equations. *a) 2x+5=172x + 5 = 17

  10. Subtract 5 from both sides of the equation.

    $$
    2x + 5 - 5 = 17 - 5
    $$
    $$
    2x = 12
    $$
    
  11. Divide both sides by 2.

    $$
    \frac{2x}{2} = \frac{12}{2}
    $$
    $$
    x = 6
    $$
    $$
    \boxed{\text{x = 6}}
    $$
    
    *b) $3(x - 2) = 15$
    
  12. Divide both sides by 3.

    $$
    \frac{3(x - 2)}{3} = \frac{15}{3}
    $$
    $$
    x - 2 = 5
    $$
    
  13. Add 2 to both sides of the equation.

    $$
    x - 2 + 2 = 5 + 2
    $$
    $$
    x = 7
    $$
    $$
    \boxed{\text{x = 7}}
    $$
    
Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp