Let's solve each of the algebraic equations step by step from the worksheet:
---
1. $ 2a + 4 = 10 $
Step 1: Subtract 4 from both sides:
$$
2a = 10 - 4 = 6
$$
Step 2: Divide both sides by 2:
$$
a = \frac{6}{2} = 3
$$
✔ Answer: $ a = 3 $
---
2. $ 5x - 7 = -12 $
Step 1: Add 7 to both sides:
$$
5x = -12 + 7 = -5
$$
Step 2: Divide both sides by 5:
$$
x = \frac{-5}{5} = -1
$$
✔ Answer: $ x = -1 $
---
3. $ 6 = (m / 4) + 2 $
Step 1: Subtract 2 from both sides:
$$
6 - 2 = \frac{m}{4} \Rightarrow 4 = \frac{m}{4}
$$
Step 2: Multiply both sides by 4:
$$
m = 4 \times 4 = 16
$$
✔ Answer: $ m = 16 $
---
4. $ 0 = 4 + (p / 5) $
Step 1: Subtract 4 from both sides:
$$
-4 = \frac{p}{5}
$$
Step 2: Multiply both sides by 5:
$$
p = -4 \times 5 = -20
$$
✔ Answer: $ p = -20 $
---
5. $ -10 = -10 + 7c $
Step 1: Add 10 to both sides:
$$
-10 + 10 = 7c \Rightarrow 0 = 7c
$$
Step 2: Divide both sides by 7:
$$
c = 0
$$
✔ Answer: $ c = 0 $
---
✔ Final Answers:
1. $ a = 3 $
2. $ x = -1 $
3. $ m = 16 $
4. $ p = -20 $
5. $ c = 0 $
Let me know if you'd like these explained in more detail or want help with another worksheet!
Parent Tip: Review the logic above to help your child master the concept of expression and equations worksheet.
