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Lesson 2 Skills Practice
Simplifying Algebraic Expressions
Identify the terms, like terms, coefficients, and constants in each expression.
1. 7a + a
2. 3k + g - k
3. m + 3m + 8
1. terms: 7a, a; like terms: 7a, a; coefficients: 7, 1; constants: none
2. terms: 3k, g, -k; like terms: 3k, -k; coefficients: 3, 1, -1; constants: none
3. terms: m, 3m, 8; like terms: m, 3m; coefficients: 1, 3; constant: 8
4. 10b - bc + 1 + 3bc
5. 9j + 8j - 4 - 7j
6. 6y + 3x + 6y - 2x
4. terms: 10b, -bc, 1, 3bc; like terms: -bc, 3bc; coefficients: 10, -1, 3; constant: 1
5. terms: 9j, 8j, -4, -7j; like terms: 9j, 8j, -7j; coefficients: 9, 8, -7; constant: -4
6. terms: 6y, 3x, 6y, -2x; like terms: 6y, 6y and 3x, -2x; coefficients: 6, 3, 6, -2;
constants: none
7. 3q + 2 - 7p
8. 18 + 7x - 12 + 5x
9. 12a + 3b + 18 - 9a
7. terms: 3q, 2, -7p; like terms: none; coefficients: 3, -7; constant: 2
8. terms: 18, 7x, -12, 5x; like terms: 18, -12 and 7x, 5x; coefficients: 7, 5;
constants: 18, -12
9. terms: 12a, 3b, 18, -9a; like terms: 12a, -9a; coefficients: 12, 3, -9;
constant: 18
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Simplify each expression.
10. 13c - 7 + c - d
14c - d - 7
11. 5h + h - 4h + 1 - 2h
9v - 6
1
13. 5(r + 9) - 5
14. 1 - 4(u - 1)
5r + 40
-4u + 5
16. -8 - 7(y + 2)
-7y - 22
19. 5m - 9 + 4m
9m - 9
22. 6(r - 4) + r + 30 - 7r
6
15. -7(w - 4) + 3w - 27
-4w + 1
17. -18(c - 1) - 18
-18c
-5g - 6
6a - 9
27. -11f + 6 - f + 4 + 13f - 9
f+1
29. 1 - s + 2 + 2s - 3s + 1
-2s + 4
Math Accelerated • Chapter 7 Algebraic Expressions
21. x - 9x + 3 + 8x - 3
0
23. -5 + 5a - 4 - 2a + 3a
-2x - 7
18. 12(n - 4) - 3n
9n - 48
20. -7 + g + 1 - 6g
25. 4x - 9 + 3x + 6 - 9x - 4
12. 2(v - 5) + 7v + 4
24. 21 - 8(v + 3) + 3 + 7v
-v
26. p - 2 + 1 - p + 1 + 2p
2p
28. 3(d - 4) + 2 - 2d + 1 - d
-9
30. 5 - 9k + 1 + k - 2(7 - k)
-6k - 8