Let's solve each equation step by step and verify the given answers.
---
Equation 1:
$$
3(x - 2) = \ ?
$$
We apply the distributive property:
$$
3(x - 2) = 3 \cdot x - 3 \cdot 2 = 3x - 6
$$
✔ So, the correct expression is:
$3x - 6$
---
Equation 2:
$$
2 + x + 2x - 4 = \ ?
$$
Combine like terms:
- Combine the $x$ terms: $x + 2x = 3x$
- Combine the constants: $2 - 4 = -2$
So:
$$
2 + x + 2x - 4 = 3x - 2
$$
✔ So, the correct expression is:
$3x - 2$
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✔ Final Answer:
- $3(x - 2) = \boxed{3x - 6}$
- $2 + x + 2x - 4 = \boxed{3x - 2}$
These match the provided answer in the image. ✔️
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✔ Explanation:
-
Distributive property was used in the first equation.
-
Combining like terms (variables and constants) was used in the second.
Both steps are fundamental algebraic simplifications.
Parent Tip: Review the logic above to help your child master the concept of ged worksheets pdf with answers.
