Algebraic Expressions with Subtraction and Multiplication

Name: _______________________________
Date: _______________________________

Part A: Writing Expressions

Write an algebraic expression for each statement. Use the letter given in brackets.

1. Multiply n by 5, then subtract 3 (use n): _______________________________
2. Subtract 8 from x, then multiply by 2 (use x): _______________________________
3. 7 times p, minus 12 (use p): _______________________________
4. Take away 15 from m, then multiply the result by 4 (use m): _______________________________
5. 6 multiplied by y, then subtract 20 (use y): _______________________________

Part B: Evaluating Expressions

Find the value of each expression when the given value is substituted.

6. 3n − 7 when n = 5
Answer: _______________________________
7. 8x − 10 when x = 4
Answer: _______________________________
8. 2(a − 6) when a = 12
Answer: _______________________________
9. 5t − 18 when t = 7
Answer: _______________________________
10. 4(b − 9) when b = 15
Answer: _______________________________

Part C: Challenge Problems

Solve these problems using algebraic expressions.

11. If 6m − 14 = 22, what is the value of m?
m = _______________________________
12. Write an expression for: "Subtract 11 from k, then multiply by 3"
Expression: _______________________________
Evaluate when k = 20: _______________________________