NAME _____________________________________________ DATE ____________________________ PERIOD _____________
The Distributive Property
Use the Distributive Property to evaluate each expression.
1. 3(2 + 8)
2. (–3 + 4)2
3. –5(4 – 2)
4. (12 + 13)(–2)
5. 8(10 – 4)
6. (–4 + –7)(–3)
7. (–7 + 3)4
8. –1(18 – 11)
Use the Distributive Property to rewrite each expression.
10. –5(4 + x)
9. 6(t + 2)
11. (5 + v) \(–3)
12. (w – 2)4
13. –7(8n – m)
14. (6 + d)(–6)
15. (4c + 2d)(–2)
16. –2(3f – 5g)
Simplify Algebraic Expressions
Write each expression in simplest form.
17. h + 6h
3
4
1
3
7
8
20. − 𝑥 − + 𝑥 −
1
2
18. 10k – k
19. 3b + 8 + 2b
21. 5c – 3d – 12c + d
22. –y + 9z – 16y – 25z
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Add Linear Expressions
Add. Use models if needed.
23. (5x + 7) + (x + 2)
24. (– 6x + 3) + (x – 7)
25. (–x + 12) + (–4x + 2)
4. (–5x + 3) + (–7x – 1)
5. (–x + 3) + (4x – 10)
26. (5x + 4) + (–8x – 2)
Subtract Linear Expressions
Subtract. Use models if needed.
27.(5x + 7) – (x + 2)
28. (2x – 6) – (x – 7)
29.(– x + 12) – (–4x + 2)
30. (–5x + 3) – (–7x – 1)
31. (–x + 3) – (4x – 10)
32. (5x + 4) – (–8x – 2)
33. GEOMETRY Write and simplify an expression to represent the perimeter of the triangle shown. Then find the value
of x if the perimeter is 45 feet.
MEASUREMENT Write an expression in simplest form for the perimeter of each figure.
34.
35.
36.