summer math - week 3
combining
simplify each expression by combining like terms.
1. $4d + 5d$
2. $12y + y - 5y$
3. $10p + 2p + 3p$
4. $6r - r + 4$
5. $15w - w - 3w - 5$
6. $8r + 6 + 9r - 3$
7. $7x - x + 9y$
8. $2a + 6a + 5b - 3b$
9. $13v - v + 15w - 4v$
10. $12g + 6f - 2f - 5g - 4f$
11. $8a + 3b - 6a + 7$
12. $5m + 9m + 13 - n - 7$
13. $11k + 2j + 5h - 10k - j$
14. $15v + 8w - 9v - 6v - 2w$
15. $16a + 8 + 12c - 7a + 3b - c$

simplify each expression by combining like terms.
16. $13q^2 + 4q^2$
17. $3w^3 + 6w^3$
18. $9h^2 + 14g - 12g - 2h^2$
19. $25r^3 + 9s - 2r^3 + 5s$
20. $7z^2 + 16y - 9y + 32$
21. $18k^2 + 12j^3 - 6k^2 + 48$

Question

summer math - week 3
combining
simplify each expression by combining like terms.
1. $4d + 5d$
2. $12y + y - 5y$
3. $10p + 2p + 3p$
4. $6r - r + 4$
5. $15w - w - 3w - 5$
6. $8r + 6 + 9r - 3$
7. $7x - x + 9y$
8. $2a + 6a + 5b - 3b$
9. $13v - v + 15w - 4v$
10. $12g + 6f - 2f - 5g - 4f$
11. $8a + 3b - 6a + 7$
12. $5m + 9m + 13 - n - 7$
13. $11k + 2j + 5h - 10k - j$
14. $15v + 8w - 9v - 6v - 2w$
15. $16a + 8 + 12c - 7a + 3b - c$

simplify each expression by combining like terms.
16. $13q^2 + 4q^2$
17. $3w^3 + 6w^3$
18. $9h^2 + 14g - 12g - 2h^2$
19. $25r^3 + 9s - 2r^3 + 5s$
20. $7z^2 + 16y - 9y + 32$
21. $18k^2 + 12j^3 - 6k^2 + 48$

Accepted Answer

{ "quality": "clear", "question_count": 21, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Combining Like Terms", "Algebraic Simplification" ], "current_concepts": [ "Combining Like Terms", "Algebraic Simplification" ] } ## Simplify linear expressions (Questions 1-15) $$ \begin{aligned} &\text{1. } 4d + 5d = 9d \ &\text{2. } 12y + y - 5y = 8y \ &\text{3. } 10p + 2p + 3p = 15p \ &\text{4. } 6r - r + 4 = 5r + 4 \ &\text{5. } 15w - w - 3w - 5 = 11w - 5 \ &\text{6. } 8r + 6 + 9r - 3 = 17r + 3 \ &\text{7. } 7x - x + 9y = 6x + 9y \ &\text{8. } 2a + 6a + 5b - 3b = 8a + 2b \ &\text{9. } 13v - v + 15w - 4v = 8v + 15w \ &\text{10. } 12g + 6f - 2f - 5g - 4f = 7g \ &\text{11. } 8a + 3b - 6a + 7 = 2a + 3b + 7 \ &\text{12. } 5m + 9m + 13 - n - 7 = 14m - n + 6 \ &\text{13. } 11k + 2j + 5h - 10k - j = k + j + 5h \ &\text{14. } 15v + 8w - 9v - 6v - 2w = 6w \ &\text{15. } 16a + 8 + 12c - 7a + 3b - c = 9a + 3b + 11c + 8 \end{aligned} $$ ## Simplify non-linear expressions (Questions 16-21) $$ \begin{aligned} &\text{16. } 13q^2 + 4q^2 = 17q^2 \ &\text{17. } 3w^3 + 6w^3 = 9w^3 \ &\text{18. } 9h^2 + 14g - 12g - 2h^2 = 7h^2 + 2g \ &\text{19. } 25r^3 + 9s - 2r^3 + 5s = 23r^3 + 14s \ &\text{20. } 7z^2 + 16y - 9y + 32 = 7z^2 + 7y + 32 \ &\text{21. } 18k^2 + 12j^3 - 6k^2 + 48 = 12k^2 + 12j^3 + 48 \end{aligned} $$ | No. | Answer | |---|---| | 1 | $9d$ | | 2 | $8y$ | | 3 | $15p$ | | 4 | $5r + 4$ | | 5 | $11w - 5$ | | 6 | $17r + 3$ | | 7 | $6x + 9y$ | | 8 | $8a + 2b$ | | 9 | $8v + 15w$ | | 10 | $7g$ | | 11 | $2a + 3b + 7$ | | 12 | $14m - n + 6$ | | 13 | $k + j + 5h$ | | 14 | $6w$ | | 15 | $9a + 3b + 11c + 8$ | | 16 | $17q^2$ | | 17 | $9w^3$ | | 18 | $7h^2 + 2g$ | | 19 | $23r^3 + 14s$ | | 20 | $7z^2 + 7y + 32$ | | 21 | $12k^2 + 12j^3 + 48$ | { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Combining Like Terms" ] }

No.	Answer
2	\(8y\)
3	\(15p\)
4	\(5r + 4\)
5	\(11w - 5\)
6	\(17r + 3\)
7	\(6x + 9y\)
8	\(8a + 2b\)
9	\(8v + 15w\)
10	\(7g\)
11	\(2a + 3b + 7\)
12	\(14m - n + 6\)
13	\(k + j + 5h\)
14	\(6w\)
15	\(9a + 3b + 11c + 8\)
16	\(17q^2\)
17	\(9w^3\)
18	\(7h^2 + 2g\)
19	\(23r^3 + 14s\)
20	\(7z^2 + 7y + 32\)
21	\(12k^2 + 12j^3 + 48\)

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Simplify linear expressions (Questions 1-15)

Simplify non-linear expressions (Questions 16-21)

Answer: