Evaluating Two-Step Algebraic Expressions with Two Variables (A) - Free Printable

Problem: Evaluate each expression using the values given.

We will solve each expression step by step, substituting the given values and simplifying accordingly.

---

#### Expression 1: \( 1 \div z \cdot y \)
- Given: \( y = 4 \), \( z = 1 \)
- Substitute the values:
\[
1 \div z \cdot y = 1 \div 1 \cdot 4
\]
- Perform the division first (left to right):
\[
1 \div 1 = 1
\]
- Then multiply:
\[
1 \cdot 4 = 4
\]
- Answer: \( 4 \)

---

#### Expression 2: \( 10(x - h) \)
- Given: \( x = 8 \), \( h = 3 \)
- Substitute the values:
\[
10(x - h) = 10(8 - 3)
\]
- Simplify inside the parentheses:
\[
8 - 3 = 5
\]
- Multiply:
\[
10 \cdot 5 = 50
\]
- Answer: \( 50 \)

---

#### Expression 3: \( z + 2 + v \)
- Given: \( z = 6 \), \( v = 8 \)
- Substitute the values:
\[
z + 2 + v = 6 + 2 + 8
\]
- Add step by step:
\[
6 + 2 = 8
\]
\[
8 + 8 = 16
\]
- Answer: \( 16 \)

---

#### Expression 4: \( 8 \cdot 6 \div c \)
- Given: \( c = 6 \)
- Substitute the values:
\[
8 \cdot 6 \div c = 8 \cdot 6 \div 6
\]
- Perform the multiplication first:
\[
8 \cdot 6 = 48
\]
- Then divide:
\[
48 \div 6 = 8
\]
- Answer: \( 8 \)

---

#### Expression 5: \( z \cdot 4 \div x \)
- Given: \( x = 8 \), \( z = 6 \)
- Substitute the values:
\[
z \cdot 4 \div x = 6 \cdot 4 \div 8
\]
- Perform the multiplication first:
\[
6 \cdot 4 = 24
\]
- Then divide:
\[
24 \div 8 = 3
\]
- Answer: \( 3 \)

---

#### Expression 6: \( c - (7 - c) \)
- Given: \( c = 5 \)
- Substitute the values:
\[
c - (7 - c) = 5 - (7 - 5)
\]
- Simplify inside the parentheses:
\[
7 - 5 = 2
\]
- Subtract:
\[
5 - 2 = 3
\]
- Answer: \( 3 \)

---

#### Expression 7: \( (2 - a)^2 \)
- Given: \( a = 1 \)
- Substitute the values:
\[
(2 - a)^2 = (2 - 1)^2
\]
- Simplify inside the parentheses:
\[
2 - 1 = 1
\]
- Square the result:
\[
1^2 = 1
\]
- Answer: \( 1 \)

---

#### Expression 8: \( c - (8 - b) \)
- Given: \( c = 8 \), \( b = 8 \)
- Substitute the values:
\[
c - (8 - b) = 8 - (8 - 8)
\]
- Simplify inside the parentheses:
\[
8 - 8 = 0
\]
- Subtract:
\[
8 - 0 = 8
\]
- Answer: \( 8 \)

---

#### Expression 9: \( 4 - (y - 1) \)
- Given: \( y = 4 \)
- Substitute the values:
\[
4 - (y - 1) = 4 - (4 - 1)
\]
- Simplify inside the parentheses:
\[
4 - 1 = 3
\]
- Subtract:
\[
4 - 3 = 1
\]
- Answer: \( 1 \)

---

#### Expression 10: \( a \div 10 + a \)
- Given: \( a = 8 \)
- Substitute the values:
\[
a \div 10 + a = 8 \div 10 + 8
\]
- Perform the division:
\[
8 \div 10 = 0.8
\]
- Add:
\[
0.8 + 8 = 8.8
\]
- Answer: \( 8.8 \)

---

#### Expression 11: \( y \div 4 + 3 \)
- Given: \( y = 1 \)
- Substitute the values:
\[
y \div 4 + 3 = 1 \div 4 + 3
\]
- Perform the division:
\[
1 \div 4 = 0.25
\]
- Add:
\[
0.25 + 3 = 3.25
\]
- Answer: \( 3.25 \)

---

#### Expression 12: \( 3 \div y \cdot 9 \)
- Given: \( y = 9 \)
- Substitute the values:
\[
3 \div y \cdot 9 = 3 \div 9 \cdot 9
\]
- Perform the division first:
\[
3 \div 9 = \frac{1}{3}
\]
- Then multiply:
\[
\frac{1}{3} \cdot 9 = 3
\]
- Answer: \( 3 \)

---

#### Expression 13: \( x - (7 - 4) \)
- Given: \( x = 9 \)
- Substitute the values:
\[
x - (7 - 4) = 9 - (7 - 4)
\]
- Simplify inside the parentheses:
\[
7 - 4 = 3
\]
- Subtract:
\[
9 - 3 = 6
\]
- Answer: \( 6 \)

---

#### Expression 14: \( z + 3 \cdot 4 \)
- Given: \( z = 2 \)
- Substitute the values:
\[
z + 3 \cdot 4 = 2 + 3 \cdot 4
\]
- Perform the multiplication first:
\[
3 \cdot 4 = 12
\]
- Add:
\[
2 + 12 = 14
\]
- Answer: \( 14 \)

---

#### Expression 15: \( x + 4 \cdot 10 \)
- Given: \( x = 6 \)
- Substitute the values:
\[
x + 4 \cdot 10 = 6 + 4 \cdot 10
\]
- Perform the multiplication first:
\[
4 \cdot 10 = 40
\]
- Add:
\[
6 + 40 = 46
\]
- Answer: \( 46 \)

---

Final Answers:

\[
\boxed{
\begin{array}{lll}
1. & 4 & \\
2. & 50 & \\
3. & 16 & \\
4. & 8 & \\
5. & 3 & \\
6. & 3 & \\
7. & 1 & \\
8. & 8 & \\
9. & 1 & \\
10. & 8.8 & \\
11. & 3.25 & \\
12. & 3 & \\
13. & 6 & \\
14. & 14 & \\
15. & 46 & \\
\end{array}
}
\]