Question

name date

1. -2 = a + 6

check:

1. -2 = a + 6
2. v - 5 = 6

check:

1. v - 5 = 6
2. -7 = s - 4

check:

1. -7 = s - 4
2. c - 6 = -1

check:

1. c - 6 = -1

Explanation:

Problem 5: Solve for $a$

Step1: Subtract 6 from both sides

$$\begin{align} -2 - 6 &= a + 6 - 6 \\ -8 &= a \end{align}$$

Step2: Verify the solution

Substitute $a=-8$ into original equation:

$$\begin{align} -2 &= -8 + 6 \\ -2 &= -2 \end{align}$$

Problem 6: Solve for $v$

Step1: Add 5 to both sides

$$\begin{align} v - 5 + 5 &= 6 + 5 \\ v &= 11 \end{align}$$

Step2: Verify the solution

Substitute $v=11$ into original equation:

$$\begin{align} 11 - 5 &= 6 \\ 6 &= 6 \end{align}$$

Problem 7: Solve for $s$

Step1: Add 4 to both sides

$$\begin{align} -7 + 4 &= s - 4 + 4 \\ -3 &= s \end{align}$$

Step2: Verify the solution

Substitute $s=-3$ into original equation:

$$\begin{align} -7 &= -3 - 4 \\ -7 &= -7 \end{align}$$

Problem 8: Solve for $c$

Step1: Add 6 to both sides

$$\begin{align} c - 6 + 6 &= -1 + 6 \\ c &= 5 \end{align}$$

Step2: Verify the solution

Substitute $c=5$ into original equation:

$$\begin{align} 5 - 6 &= -1 \\ -1 &= -1 \end{align}$$

Answer:

1. $a = -8$
2. $v = 11$
3. $s = -3$
4. $c = 5$