test name period 1 2 3 4 seat 17
1. simplify $3 + 2 \cdot 7$
2. simplify $5 \cdot 3^2$
3. simplify $-1 - 2 \cdot 8$
4. simplify $10 + 2 \cdot 5^2$
5. evaluate $3x + 2$ when $x = 7$
6. evaluate $-4x + 5$ when $x = 2$
7. evaluate $100 - 2x$ when $x = -7$
8. evaluate $-x + 8$ when $x = -8$
9. evaluate $x^2 + 4x + 1$ when $x = 5$
10. evaluate $4x^2$ when $x = 3$
11. evaluate $-x^2 + 3x + 1$ when $x = 5$
12. evaluate $1 + 2x + x^2$ when $x = -4$
13. simplify $3x + 2 + 4x + 10$
14. simplify $-2x - 4 - 1 + 9x$
15. simplify $-x + 4 - 5x - 5$
16. simplify $2 - x - 6 + 4x$
17. simplify $3x^2 + 2x + 5 + 6x^2 + 6x + 2$
18. simplify $2x^2 - 4x - 3 - 6x^2 - 4x + 5$
19. simplify $-7 + 5x + 2x^2 - 7x - x^2 - 2$
20. simplify $3x^2 + x^2 + 7x + 5 - 3x - 4x^2$

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Accepted Answer

{ "quality": "clear", "question_count": 20, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Order of Operations", "Algebraic Evaluation", "Combining Like Terms" ], "current_concepts": [ "Order of Operations", "Algebraic Evaluation", "Combining Like Terms" ] } ## Simplify arithmetic expressions (Questions 1-4) $$ \begin{aligned} &\text{Q1: } 3 + 2 \cdot 7 = 3 + 14 = 17\ &\text{Q2: } 5 \cdot 3^2 = 5 \cdot 9 = 45\ &\text{Q3: } -1 - 2 \cdot 8 = -1 - 16 = -17\ &\text{Q4: } 10 + 2 \cdot 5^2 = 10 + 2 \cdot 25 = 10 + 50 = 60 \end{aligned} $$ ## Evaluate algebraic expressions (Questions 5-12) $$ \begin{aligned} &\text{Q5: } 3(7) + 2 = 21 + 2 = 23\ &\text{Q6: } -4(2) + 5 = -8 + 5 = -3\ &\text{Q7: } 100 - 2(-7) = 100 + 14 = 114\ &\text{Q8: } -(-8) + 8 = 8 + 8 = 16\ &\text{Q9: } (5)^2 + 4(5) + 1 = 25 + 20 + 1 = 46\ &\text{Q10: } 4(3)^2 = 4(9) = 36\ &\text{Q11: } -(5)^2 + 3(5) + 1 = -25 + 15 + 1 = -9\ &\text{Q12: } 1 + 2(-4) + (-4)^2 = 1 - 8 + 16 = 9 \end{aligned} $$ ## Simplify by combining like terms (Questions 13-20) $$ \begin{aligned} &\text{Q13: } (3x + 4x) + (2 + 10) = 7x + 12\ &\text{Q14: } (-2x + 9x) + (-4 - 1) = 7x - 5\ &\text{Q15: } (-x - 5x) + (4 - 5) = -6x - 1\ &\text{Q16: } (-x + 4x) + (2 - 6) = 3x - 4\ &\text{Q17: } (3x^2 + 6x^2) + (2x + 6x) + (5 + 2) = 9x^2 + 8x + 7\ &\text{Q18: } (2x^2 - 6x^2) + (-4x - 4x) + (-3 + 5) = -4x^2 - 8x + 2\ &\text{Q19: } (2x^2 - x^2) + (5x - 7x) + (-7 - 2) = x^2 - 2x - 9\ &\text{Q20: } (3x^2 + x^2 - 4x^2) + (7x - 3x) + 5 = 4x - 5 \text{ (Note: } 5 \text{ is positive, so } 4x + 5\text{)} \end{aligned} $$ | No. | Problem | Answer | |---|---|---| | 1 | Simplify $3 + 2 \cdot 7$ | $17$ | | 2 | Simplify $5 \cdot 3^2$ | $45$ | | 3 | Simplify $-1 - 2 \cdot 8$ | $-17$ | | 4 | Simplify $10 + 2 \cdot 5^2$ | $60$ | | 5 | Evaluate $3x + 2$ when $x = 7$ | $23$ | | 6 | Evaluate $-4x + 5$ when $x = 2$ | $-3$ | | 7 | Evaluate $100 - 2x$ when $x = -7$ | $114$ | | 8 | Evaluate $-x + 8$ when $x = -8$ | $16$ | | 9 | Evaluate $x^2 + 4x + 1$ when $x = 5$ | $46$ | | 10 | Evaluate $4x^2$ when $x = 3$ | $36$ | | 11 | Evaluate $-x^2 + 3x + 1$ when $x = 5$ | $-9$ | | 12 | Evaluate $1 + 2x + x^2$ when $x = -4$ | $9$ | | 13 | Simplify $3x + 2 + 4x + 10$ | $7x + 12$ | | 14 | Simplify $-2x - 4 - 1 + 9x$ | $7x - 5$ | | 15 | Simplify $-x + 4 - 5x - 5$ | $-6x - 1$ | | 16 | Simplify $2 - x - 6 + 4x$ | $3x - 4$ | | 17 | Simplify $3x^2 + 2x + 5 + 6x^2 + 6x + 2$ | $9x^2 + 8x + 7$ | | 18 | Simplify $2x^2 - 4x - 3 - 6x^2 - 4x + 5$ | $-4x^2 - 8x + 2$ | | 19 | Simplify $-7 + 5x + 2x^2 - 7x - x^2 - 2$ | $x^2 - 2x - 9$ | | 20 | Simplify $3x^2 + x^2 + 7x + 5 - 3x - 4x^2$ | $4x + 5$ | { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Combining Like Terms" ] }

No.	Problem	Answer
2	Simplify \(5 \cdot 3^2\)	\(45\)
3	Simplify \(-1 - 2 \cdot 8\)	\(-17\)
4	Simplify \(10 + 2 \cdot 5^2\)	\(60\)
5	Evaluate \(3x + 2\) when \(x = 7\)	\(23\)
6	Evaluate \(-4x + 5\) when \(x = 2\)	\(-3\)
7	Evaluate \(100 - 2x\) when \(x = -7\)	\(114\)
8	Evaluate \(-x + 8\) when \(x = -8\)	\(16\)
9	Evaluate \(x^2 + 4x + 1\) when \(x = 5\)	\(46\)
10	Evaluate \(4x^2\) when \(x = 3\)	\(36\)
11	Evaluate \(-x^2 + 3x + 1\) when \(x = 5\)	\(-9\)
12	Evaluate \(1 + 2x + x^2\) when \(x = -4\)	\(9\)
13	Simplify \(3x + 2 + 4x + 10\)	\(7x + 12\)
14	Simplify \(-2x - 4 - 1 + 9x\)	\(7x - 5\)
15	Simplify \(-x + 4 - 5x - 5\)	\(-6x - 1\)
16	Simplify \(2 - x - 6 + 4x\)	\(3x - 4\)
17	Simplify \(3x^2 + 2x + 5 + 6x^2 + 6x + 2\)	\(9x^2 + 8x + 7\)
18	Simplify \(2x^2 - 4x - 3 - 6x^2 - 4x + 5\)	\(-4x^2 - 8x + 2\)
19	Simplify \(-7 + 5x + 2x^2 - 7x - x^2 - 2\)	\(x^2 - 2x - 9\)
20	Simplify \(3x^2 + x^2 + 7x + 5 - 3x - 4x^2\)	\(4x + 5\)

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QUESTION IMAGE

Question

Explanation:

Simplify arithmetic expressions (Questions 1-4)

Evaluate algebraic expressions (Questions 5-12)

Simplify by combining like terms (Questions 13-20)

Answer: