Question

exercises
identify the terms and like terms in the expression.

1. ( z + 8 - 4z )
2. ( 3n + 7 - n - 3 )
3. ( 10x^2 - y + 12 - 3x^2 )

simplify the expression.

1. ( 4h - 8h )
2. ( 6.4r - 7 - 2.9r )
3. ( \frac{3}{5}x + 19 - \frac{3}{20}x - 7 )
4. ( 3(2 + q) + 15 )
5. ( \frac{1}{8}(16m - 8) - 17 )
6. ( -1.5(4 - n) + 2.8 )

Explanation:

Let's solve problem 4: \( 4h - 8h \)

Step 1: Identify like terms

The terms \( 4h \) and \( -8h \) are like terms because they have the same variable \( h \) raised to the same power (1).

Step 2: Combine like terms

To combine like terms, we add their coefficients. The coefficient of \( 4h \) is 4, and the coefficient of \( -8h \) is -8. So we calculate \( 4 + (-8) \).
\( 4 + (-8) = -4 \)
So, \( 4h - 8h = -4h \)

Answer:

\( -4h \)