Question

quick check
one-step equations solve each equation. check your solution.

1. $n + 8 = -9$
2. $4 = p + 19$
3. $-4 + a = 15$
4. $3c = -18$
5. $-42 = -6b$
6. $\frac{w}{4} = -8$

Explanation:

Solving Equation 1: \( n + 8 = -9 \)

Step1: Isolate \( n \)

Subtract 8 from both sides: \( n + 8 - 8 = -9 - 8 \)

Step2: Simplify

\( n = -17 \)

Check:

Substitute \( n = -17 \) into original: \( -17 + 8 = -9 \), which is true.

Step1: Isolate \( p \)

Subtract 19 from both sides: \( 4 - 19 = p + 19 - 19 \)

Step2: Simplify

\( -15 = p \) or \( p = -15 \)

Check:

Substitute \( p = -15 \) into original: \( 4 = -15 + 19 \), \( 4 = 4 \) (true).

Step1: Isolate \( a \)

Add 4 to both sides: \( -4 + a + 4 = 15 + 4 \)

Step2: Simplify

\( a = 19 \)

Check:

Substitute \( a = 19 \) into original: \( -4 + 19 = 15 \), \( 15 = 15 \) (true).

Answer:

\( n = -17 \)

Solving Equation 2: \( 4 = p + 19 \)