Question

simplify each expression.

1. $5(k - 3)-7$
2. $3(a + 2)-5a + 3$
3. $12-3(2t - 7)$

geometry use the figure.

1. write an expression for the area of the figure.
2. write an expression for the perimeter of the figure.

1.
2.
3.
4.
5.

Explanation:

1. Simplify \(5(k - 3)-7\)

Step1: Use the distributive property \(a(b + c)=ab+ac\)

$$
LATEXBLOCK0
$$

Step2: Combine like - terms

$$
LATEXBLOCK1
$$

2. Simplify \(3(a + 2)-5a + 3\)

Step1: Use the distributive property

$$
LATEXBLOCK2
$$

Step2: Combine like - terms

$$
LATEXBLOCK3
$$

3. Simplify \(12-3(2t - 7)\)

Step1: Use the distributive property \(a(b - c)=ab-ac\)

$$
LATEXBLOCK4
$$

Step2: Combine like - terms

$$
LATEXBLOCK5
$$

Answer:

1. \(5k - 22\)
2. \(-2a + 9\)
3. \(33-6t\)