problems 1-12: circle the true equations and draw a line through the false equations.

1) $10 + y = 5$
2) $m + 9 = 16$
3) $13 + h = 20$
4) $58 + y = 65$
5) $m + 20 = 26$
6) $25 + h = 35$
7) $m + 41 = 48$
8) $y + 95 = 100$
9) $44 + h = 55$
10) $71 + y = 78$
11) $h + 0 = 10$
12) $68 + m = 75$

Question

problems 1-12: circle the true equations and draw a line through the false equations.

1) $10 + y = 5$
2) $m + 9 = 16$
3) $13 + h = 20$
4) $58 + y = 65$
5) $m + 20 = 26$
6) $25 + h = 35$
7) $m + 41 = 48$
8) $y + 95 = 100$
9) $44 + h = 55$
10) $71 + y = 78$
11) $h + 0 = 10$
12) $68 + m = 75$

Accepted Answer

{ "quality": "clear", "question_count": 12, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "One-Step Equations", "Inverse Operations", "Variable Substitution", "Algebraic Evaluation" ], "new_concepts": [ "Equation Truth Value" ], "current_concepts": [ "One-Step Equations", "Inverse Operations", "Variable Substitution", "Algebraic Evaluation", "Equation Truth Value" ] } ## Identify the given variable values Using the *Variable Substitution* and *Algebraic Evaluation* knowledge points $$ y = -5,\quad m = 7,\quad h = 10 $$ ## Evaluate equations 1 to 4 Using the *One-Step Equations* and *Inverse Operations* knowledge points $$ \begin{aligned} &\text{Equation 1: } 10 + y = 5 \implies 10 + (-5) = 5 \quad (\text{True})\ &\text{Equation 2: } m + 9 = 16 \implies 7 + 9 = 16 \quad (\text{True})\ &\text{Equation 3: } 13 + h = 20 \implies 13 + 10 = 23 e 20 \quad (\text{False})\ &\text{Equation 4: } 58 + y = 65 \implies 58 + (-5) = 53 e 65 \quad (\text{False}) \end{aligned} $$ ## Evaluate equations 5 to 8 Using the *One-Step Equations* and *Inverse Operations* knowledge points $$ \begin{aligned} &\text{Equation 5: } m + 20 = 26 \implies 7 + 20 = 27 e 26 \quad (\text{False})\ &\text{Equation 6: } 25 + h = 35 \implies 25 + 10 = 35 \quad (\text{True})\ &\text{Equation 7: } m + 41 = 48 \implies 7 + 41 = 48 \quad (\text{True})\ &\text{Equation 8: } y + 95 = 100 \implies -5 + 95 = 90 e 100 \quad (\text{False}) \end{aligned} $$ ## Evaluate equations 9 to 12 Using the *One-Step Equations* and *Inverse Operations* knowledge points $$ \begin{aligned} &\text{Equation 9: } 44 + h = 55 \implies 44 + 10 = 54 e 55 \quad (\text{False})\ &\text{Equation 10: } 71 + y = 78 \implies 71 + (-5) = 66 e 78 \quad (\text{False})\ &\text{Equation 11: } h + 0 = 10 \implies 10 + 0 = 10 \quad (\text{True})\ &\text{Equation 12: } 68 + m = 75 \implies 68 + 7 = 75 \quad (\text{True}) \end{aligned} $$ | No. | Equation | Truth Value | |---|---|---| | 1 | $10 + y = 5$ | True (Circle) | | 2 | $m + 9 = 16$ | True (Circle) | | 3 | $13 + h = 20$ | False (Draw line through) | | 4 | $58 + y = 65$ | False (Draw line through) | | 5 | $m + 20 = 26$ | False (Draw line through) | | 6 | $25 + h = 35$ | True (Circle) | | 7 | $m + 41 = 48$ | True (Circle) | | 8 | $y + 95 = 100$ | False (Draw line through) | | 9 | $44 + h = 55$ | False (Draw line through) | | 10 | $71 + y = 78$ | False (Draw line through) | | 11 | $h + 0 = 10$ | True (Circle) | | 12 | $68 + m = 75$ | True (Circle) | { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "One-Step Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given variable values

Evaluate equations 1 to 4

Evaluate equations 5 to 8

Evaluate equations 9 to 12

Answer:

No.	Equation	Truth Value
2	\(m + 9 = 16\)	True (Circle)
3	\(13 + h = 20\)	False (Draw line through)
4	\(58 + y = 65\)	False (Draw line through)
5	\(m + 20 = 26\)	False (Draw line through)
6	\(25 + h = 35\)	True (Circle)
7	\(m + 41 = 48\)	True (Circle)
8	\(y + 95 = 100\)	False (Draw line through)
9	\(44 + h = 55\)	False (Draw line through)
10	\(71 + y = 78\)	False (Draw line through)
11	\(h + 0 = 10\)	True (Circle)
12	\(68 + m = 75\)	True (Circle)