Basic Algebra Worksheets - Free Printable

To solve the problem, we need to translate each phrase into an algebraic expression. Let's go through each one step by step:

1. "4 more than \( a \)"

- "More than" means addition.
- Expression: \( a + 4 \)

2. "double \( b \)"

- "Double" means multiplication by 2.
- Expression: \( 2b \)

3. "10 less than \( c \)"

- "Less than" means subtraction.
- Expression: \( c - 10 \)

4. "a half of \( d \)"

- "A half of" means division by 2 or multiplication by \( \frac{1}{2} \).
- Expression: \( \frac{d}{2} \) or \( 0.5d \)

5. "8 more than \( e \)"

- "More than" means addition.
- Expression: \( e + 8 \)

6. "9 subtract \( f \)"

- "Subtract" means subtraction.
- Expression: \( 9 - f \)

7. "4 lots of \( g \)"

- "Lots of" means multiplication.
- Expression: \( 4g \)

8. "7 subtract \( h \)"

- "Subtract" means subtraction.
- Expression: \( 7 - h \)

9. "14 less than \( i \)"

- "Less than" means subtraction.
- Expression: \( i - 14 \)

10. "multiply \( j \) by 4"

- "Multiply" means multiplication.
- Expression: \( 4j \)

11. "divide \( k \) by 3"

- "Divide" means division.
- Expression: \( \frac{k}{3} \)

12. "double \( l \) and add 2"

- "Double" means multiplication by 2, and "add" means addition.
- Expression: \( 2l + 2 \)

13. "halve \( m \) and then subtract 3"

- "Halve" means division by 2, and "subtract" means subtraction.
- Expression: \( \frac{m}{2} - 3 \)

14. "double \( n \) and then add 5"

- "Double" means multiplication by 2, and "add" means addition.
- Expression: \( 2n + 5 \)

15. "double \( o \) and then subtract 3"

- "Double" means multiplication by 2, and "subtract" means subtraction.
- Expression: \( 2o - 3 \)

16. "halve \( p \) and then add 6"

- "Halve" means division by 2, and "add" means addition.
- Expression: \( \frac{p}{2} + 6 \)

17. "subtract \( q \) from 10"

- "Subtract from" means the second term is subtracted from the first.
- Expression: \( 10 - q \)

18. "subtract 10 from \( q \)"

- "Subtract" means subtraction.
- Expression: \( q - 10 \)

19. "multiply \( r \) by 8 then add 1"

- "Multiply" means multiplication, and "add" means addition.
- Expression: \( 8r + 1 \)

20. "divide \( s \) by 5 and then"

- "Divide" means division.
- Expression: \( \frac{s}{5} \)

21. "multiply \( t \) by 4 and then"

- "Multiply" means multiplication.
- Expression: \( 4t \)

22. "add 2 to \( u \) and then double it"

- "Add" means addition, and "double" means multiplication by 2.
- Expression: \( 2(u + 2) \)

23. "subtract 3 from \( v \) and then"

- "Subtract" means subtraction.
- Expression: \( v - 3 \)

24. "multiply \( w \) by 6 and then"

- "Multiply" means multiplication.
- Expression: \( 6w \)

Final Answer:

\[
\boxed{
\begin{array}{|c|c|c|}
\hline
1 & 4 \text{ more than } a & a + 4 \\
\hline
2 & \text{double } b & 2b \\
\hline
3 & 10 \text{ less than } c & c - 10 \\
\hline
4 & \text{a half of } d & \frac{d}{2} \\
\hline
5 & 8 \text{ more than } e & e + 8 \\
\hline
6 & 9 \text{ subtract } f & 9 - f \\
\hline
7 & 4 \text{ lots of } g & 4g \\
\hline
8 & 7 \text{ subtract } h & 7 - h \\
\hline
9 & 14 \text{ less than } i & i - 14 \\
\hline
10 & \text{multiply } j \text{ by } 4 & 4j \\
\hline
11 & \text{divide } k \text{ by } 3 & \frac{k}{3} \\
\hline
12 & \text{double } l \text{ and add } 2 & 2l + 2 \\
\hline
13 & \text{halve } m \text{ and then subtract } 3 & \frac{m}{2} - 3 \\
\hline
14 & \text{double } n \text{ and then add } 5 & 2n + 5 \\
\hline
15 & \text{double } o \text{ and then subtract } 3 & 2o - 3 \\
\hline
16 & \text{halve } p \text{ and then add } 6 & \frac{p}{2} + 6 \\
\hline
17 & \text{subtract } q \text{ from } 10 & 10 - q \\
\hline
18 & \text{subtract } 10 \text{ from } q & q - 10 \\
\hline
19 & \text{multiply } r \text{ by } 8 \text{ then add } 1 & 8r + 1 \\
\hline
20 & \text{divide } s \text{ by } 5 \text{ and then} & \frac{s}{5} \\
\hline
21 & \text{multiply } t \text{ by } 4 \text{ and then} & 4t \\
\hline
22 & \text{add } 2 \text{ to } u \text{ and then double it} & 2(u + 2) \\
\hline
23 & \text{subtract } 3 \text{ from } v \text{ and then} & v - 3 \\
\hline
24 & \text{multiply } w \text{ by } 6 \text{ and then} & 6w \\
\hline
\end{array}
}
\]