problems 9-16: use substitution to solve each problem.

9. what is $b - y$, when $b = 38$ and $y = 7$?
10. what is $dz$, when $d = 6$ and $z = 8$?
11. what is $e + u$, when $e = 25$ and $u = 13$?
12. what is $h \div a$, when $h = 120$ and $a = 10$?
13. what is $j + b$, when $j = 52$ and $b = 7$?
14. what is $r \div p$, when $r = 48$ and $p = 2$?
15. what is $k \cdot n$, when $k = 4$ and $n = 9$?
16. what is $x - i$, when $x = 100$ and $i = 35$?

Question

problems 9-16: use substitution to solve each problem.

9. what is $b - y$, when $b = 38$ and $y = 7$?
10. what is $dz$, when $d = 6$ and $z = 8$?
11. what is $e + u$, when $e = 25$ and $u = 13$?
12. what is $h \div a$, when $h = 120$ and $a = 10$?
13. what is $j + b$, when $j = 52$ and $b = 7$?
14. what is $r \div p$, when $r = 48$ and $p = 2$?
15. what is $k \cdot n$, when $k = 4$ and $n = 9$?
16. what is $x - i$, when $x = 100$ and $i = 35$?

Accepted Answer

{ "quality": "clear", "question_count": 8, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Variable Substitution", "Algebraic Evaluation", "Algebraic Notation", "Multiplication Notation" ], "new_concepts": [], "current_concepts": [ "Variable Substitution", "Algebraic Evaluation", "Algebraic Notation", "Multiplication Notation" ] } ## Evaluate Question 9 Using the *Variable Substitution* and *Algebraic Evaluation* knowledge points $$ \begin{aligned} &\text{Expression: } b - y \ &\text{Substitute } b = 38, y = 7: \ &38 - 7 = 31 \end{aligned} $$ ## Evaluate Question 10 Using the *Variable Substitution*, *Algebraic Notation*, and *Multiplication Notation* knowledge points $$ \begin{aligned} &\text{Expression: } dz = d \cdot z \ &\text{Substitute } d = 6, z = 8: \ &6 \cdot 8 = 48 \end{aligned} $$ ## Evaluate Question 11 Using the *Variable Substitution* and *Algebraic Evaluation* knowledge points $$ \begin{aligned} &\text{Expression: } e + u \ &\text{Substitute } e = 25, u = 13: \ &25 + 13 = 38 \end{aligned} $$ ## Evaluate Question 12 Using the *Variable Substitution* and *Algebraic Evaluation* knowledge points $$ \begin{aligned} &\text{Expression: } h \div a \ &\text{Substitute } h = 120, a = 10: \ &120 \div 10 = 12 \end{aligned} $$ ## Evaluate Questions 13 to 16 Using the *Variable Substitution* and *Algebraic Evaluation* knowledge points $$ \begin{aligned} &\text{Q13: } j + b = 52 + 7 = 59 \ &\text{Q14: } r \div p = 48 \div 2 = 24 \ &\text{Q15: } k \cdot n = 4 \cdot 9 = 36 \ &\text{Q16: } x - i = 100 - 35 = 65 \end{aligned} $$ | No. | Problem | Answer | |---|---|---| | 9 | What is $b - y$, when $b = 38$ and $y = 7$? | $31$ | | 10 | What is $dz$, when $d = 6$ and $z = 8$? | $48$ | | 11 | What is $e + u$, when $e = 25$ and $u = 13$? | $38$ | | 12 | What is $h \div a$, when $h = 120$ and $a = 10$? | $12$ | | 13 | What is $j + b$, when $j = 52$ and $b = 7$? | $59$ | | 14 | What is $r \div p$, when $r = 48$ and $p = 2$? | $24$ | | 15 | What is $k \cdot n$, when $k = 4$ and $n = 9$? | $36$ | | 16 | What is $x - i$, when $x = 100$ and $i = 35$? | $65$ | { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Variable Substitution" ] }

No.	Problem	Answer
10	What is \(dz\), when \(d = 6\) and \(z = 8\)?	\(48\)
11	What is \(e + u\), when \(e = 25\) and \(u = 13\)?	\(38\)
12	What is \(h \div a\), when \(h = 120\) and \(a = 10\)?	\(12\)
13	What is \(j + b\), when \(j = 52\) and \(b = 7\)?	\(59\)
14	What is \(r \div p\), when \(r = 48\) and \(p = 2\)?	\(24\)
15	What is \(k \cdot n\), when \(k = 4\) and \(n = 9\)?	\(36\)
16	What is \(x - i\), when \(x = 100\) and \(i = 35\)?	\(65\)

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Explanation:

Evaluate Question 9

Evaluate Question 10

Evaluate Question 11

Evaluate Question 12

Evaluate Questions 13 to 16

Answer: