Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. NAME ___________________________________________________ DATE _____________________ PERIOD __________ 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 9. 2a - 5(a + 1) -3q + 3 -3 -3a - 5 10. b - 2(b - 2) 11. 9 - t - 3(t + 3) 12. -8 + 5( g + 2) - 2 -b + 4 -4t 5g 13. 12m + 9 - 2m - 16 14. 4(y - 3) + 9 - 3y 15. r + r + r + r + r 10m - 7 y - 3 5r 16. -11x + 4 + 8x - 4 + 3x 17. -14y + 12(x + y) - 12x 0 -2y 18. 19g - 4h + 4 - 20(g - 1) 19. -5(c + d) - 4d + 5c - d -g - 4h + 24 -10d 20. (8 - b)(-3) + 6b + 12 - 10b 21. -p + q + 2(p + q) - p - q -b - 12 2q 22. -55n + 28n + 21n + 7n - n 23. -12z + 4(z - 9) + 30 + z 0 -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
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Copyright © The M
cGraw
-Hill Com
panies, Inc. Permission is granted to reproduce for classroom
use.
NAME ___________________________________________________ DATE _____________________ PERIOD __________
Lesson 2 Homework PracticeSimplifying 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 9. 2a - 5(a + 1) -3q + 3 -3 -3a - 5
10. b - 2(b - 2) 11. 9 - t - 3(t + 3) 12. -8 + 5( g + 2) - 2 -b + 4 -4t 5g
13. 12m + 9 - 2m - 16 14. 4(y - 3) + 9 - 3y 15. r + r + r + r + r 10m - 7 y - 3 5r
16. -11x + 4 + 8x - 4 + 3x 17. -14y + 12(x + y) - 12x 0 -2y
18. 19g - 4h + 4 - 20(g - 1) 19. -5(c + d) - 4d + 5c - d -g - 4h + 24 -10d
20. (8 - b)(-3) + 6b + 12 - 10b 21. -p + q + 2(p + q) - p - q -b - 12 2q
22. -55n + 28n + 21n + 7n - n 23. -12z + 4(z - 9) + 30 + z 0 -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
Program: Pre-Algebra
Vendor: Aptara
Component: ANC_C07_L2
Grade: AMPDF Pages
Math Accelerated • Chapter 7 Algebraic Expressions
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