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Introduction to Algebra: 5th Grade Worksheet

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Write an algebraic expression for each of the following word phrases.

1. Add $7$ to a number $n$.

2. The product of $4$ and a number $x$.

3. A number $y$ decreased by $12$.

4. The quotient of a number $z$ and $3$.

5. $10$ less than a number $k$.

Evaluate each expression using the given value for the variable.

6. Evaluate $x + 15$ when $x = 9$.

7. Evaluate $8m$ when $m = 7$.

8. Evaluate $25 - p$ when $p = 11$.

9. Evaluate $\frac{w}{4}$ when $w = 32$.

10. Evaluate $2n + 3$ when $n = 5$.

Find the value of the variable that makes the equation true.

11. $a + 6 = 20$

12. $b - 8 = 15$

13. $4c = 36$

14. $\frac{d}{3} = 9$

15. $12 + x = 30$

Read the instructions or problems carefully and provide the algebraic answer.

16. Draw a square on your paper. Label one side of the square with the variable $s$. Write an expression that represents the perimeter of the square (the distance around all four sides).

17. A candy bar costs $c$ cents. If Jason buys $5$ candy bars, write an expression for the total cost.

18. Maria has $24$ pencils. She shares them equally among $f$ friends. Write an expression to show how many pencils each friend receives.

19. A mystery number $x$ is increased by $10$, and the result is $22$. Write an equation to represent this and solve for $x$.

20. Think of a rectangle. The length is $l$ and the width is $5$. Write an expression for the area of the rectangle (length times width).

1. $n + 7$
2. $4x$ or $4 \cdot x$
3. $y - 12$
4. $\frac{z}{3}$ or $z \div 3$
5. $k - 10$

6. $9 + 15 = 24$
7. $8 \cdot 7 = 56$
8. $25 - 11 = 14$
9. $32 \div 4 = 8$
10. $2(5) + 3 = 10 + 3 = 13$

11. $a = 14$
12. $b = 23$
13. $c = 9$
14. $d = 27$
15. $x = 18$

16. Expression: $4s$ or $s + s + s + s$
17. Expression: $5c$
18. Expression: $\frac{24}{f}$ or $24 \div f$
19. Equation: $x + 10 = 22$; Solution: $x = 12$
20. Expression: $5l$ or $l \cdot 5$