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Lesson 2 Homework Practice
Simplifying Algebraic Expressions
Identify the terms, like terms, coefficients, and constants in each expression.
1. 6y - 4 + y
2. 8u + 2u - 3u
3. -12h + 5g + 8 - g
1. terms: 6y, -4, y; like terms: 6y, y; coefficients: 6, 1; constant: -4
2. terms: 8u, 2u, -3u; like terms: 8u, 2u, -3u; coefficients: 8, 2, -3;
constants: none
3. terms: -12h, 5g, 8, -g; like terms: 5g, -g; coefficients: -12, 5, -1; constant: 8
4. -21w + 5 + 3w - 1
5. 8a + b - 3a + 4b
6. f - 3fg + 2g - fg + 1
4. terms: -21w, 5, 3w, -1; like terms: -21w, 3w and 5, -1; coefficients: -21, 3;
constants: 5, -1
5. terms: 8a, b, -3a, 4b; like terms: 8a, -3a and b, 4b; coefficients: 8, 1, -3, 4;
constants: none
6. terms: f, -3fg, 2g, -fg, 1; like terms: -3fg, -fg; coefficients: 1, -3, 2,-1;
constant: 1
Simplify each expression.
7. -8q + 6 + 5q - 3
8. h + 5h - 3 - 6h
-3q + 3
10. b - 2(b - 2)
-3
-4t
16. -11x + 4 + 8x - 4 + 3x
0
18. 19g - 4h + 4 - 20(g - 1)
-g - 4h + 24
20. (8 - b)(-3) + 6b + 12 - 10b
-b - 12
22. -55n + 28n + 21n + 7n - n
0
5g
14. 4(y - 3) + 9 - 3y
10m - 7
12. -8 + 5( g + 2) - 2
y-3
15. r + r + r + r + r
5r
17. -14y + 12(x + y) - 12x
-2y
19. -5(c + d) - 4d + 5c - d
-10d
21. -p + q + 2(p + q) - p - q
2q
23. -12z + 4(z - 9) + 30 + z
-7z - 6
For each situation, write an expression in simplest form that represents the total amount.
24. You bought 3 pieces of chicken that cost x dollars each, a salad for $3, and a drink for $1.
3x + 4
25. Sal has scored g goals this season. Ben has scored four times as many goals as Sal. Chun has
scored three fewer goals than Ben. 9g - 3
Math Accelerated • Chapter 7 Algebraic Expressions
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
13. 12m + 9 - 2m - 16
-3a - 5
11. 9 - t - 3(t + 3)
-b + 4
9. 2a - 5(a + 1)