Question

Multi-step equations online practice grade 7A

Answer 1

Sure! Here are some multi-step equation problems suitable for Grade 7, along with their solutions. You can use these for online practice.

### Problems

1. \( 3x + 5 = 20 \)

2. \( 4(y - 2) = 16 \)

3. \( 2(3z + 4) = 28 \)

4. \( 5a - 7 = 3a + 9 \)

5. \( 2(x + 3) - 4 = 10 \)

6. \( 7 - 2b = 3b + 1 \)

7. \( 6(c - 2) + 4 = 2(c + 6) \)

8. \( \frac{2d}{3} - 5 = 9 \)

### Solutions

1. **Solution to \( 3x + 5 = 20 \)**:
\[
3x = 20 - 5 \\
3x = 15 \\
x = 5
\]

2. **Solution to \( 4(y - 2) = 16 \)**:
\[
y - 2 = 4 \\
y = 4 + 2 \\
y = 6
\]

3. **Solution to \( 2(3z + 4) = 28 \)**:
\[
3z + 4 = 14 \\
3z = 14 - 4 \\
3z = 10 \\
z = \frac{10}{3} \text{ or approximately } 3.33
\]

4. **Solution to \( 5a - 7 = 3a + 9 \)**:
\[
5a - 3a = 9 + 7 \\
2a = 16 \\
a = 8
\]

5. **Solution to \( 2(x + 3) - 4 = 10 \)**:
\[
2x + 6 - 4 = 10 \\
2x + 2 = 10 \\
2x = 10 - 2 \\
2x = 8 \\
x = 4
\]

6. **Solution to \( 7 - 2b = 3b + 1 \)**:
\[
7 - 1 = 3b + 2b \\
6 = 5b \\
b = \frac{6}{5} \text{ or } 1.2
\]

7. **Solution to \( 6(c - 2) + 4 = 2(c + 6) \)**:
\[
6c - 12 + 4 = 2c + 12 \\
6c - 8 = 2c + 12 \\
6c - 2c = 12 + 8 \\
4c = 20 \\
c = 5
\]

8. **Solution to \( \frac{2d}{3} - 5 = 9 \)**:
\[
\frac{2d}{3} = 9 + 5 \\
\frac{2d}{3} = 14 \\
2d = 42 \\
d = 21
\]

Feel free to practice more with these problems, or create new ones! If you need any specific topics or types of problems, let me know!