17) $11 + u = 26$
$u =$

18) $m \times 3 = 6$
$m =$

19) $a - 7 = 9$
$a =$

20) $y \div 2 = 8$
$y =$

21) $100 - w = 75$
$w =$

22) $h + 29 = 36$
$h =$

23) $48 \div w = 12$
$w =$

24) $6 \times e = 6$
$e =$

25) $3 + a = 50$
$a =$

26) $2 \times y = 60$
$x =$

27) $r - 20 = 70$
$r =$

28) $n \div 10 = 90$
$n =$

29) $9 - v = 1$
$v =$

30) $1 + c = 17$
$c =$

Question

17) $11 + u = 26$
$u =$

18) $m \times 3 = 6$
$m =$

19) $a - 7 = 9$
$a =$

20) $y \div 2 = 8$
$y =$

21) $100 - w = 75$
$w =$

22) $h + 29 = 36$
$h =$

23) $48 \div w = 12$
$w =$

24) $6 \times e = 6$
$e =$

25) $3 + a = 50$
$a =$

26) $2 \times y = 60$
$x =$

27) $r - 20 = 70$
$r =$

28) $n \div 10 = 90$
$n =$

29) $9 - v = 1$
$v =$

30) $1 + c = 17$
$c =$

Accepted Answer

{ "quality": "clear", "question_count": 14, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "One-Step Equations", "Inverse Operations", "Division Equations" ], "new_concepts": [], "current_concepts": [ "One-Step Equations", "Inverse Operations", "Division Equations" ] } ## Solve addition equations (Questions 17, 22, 25, 30) Using the *One-Step Equations* and *Inverse Operations* knowledge points $$ \begin{aligned} &\text{Q17: } 11 + u = 26 \implies u = 26 - 11 \implies u = 15\ &\text{Q22: } h + 29 = 36 \implies h = 36 - 29 \implies h = 7\ &\text{Q25: } 3 + a = 50 \implies a = 50 - 3 \implies a = 47\ &\text{Q30: } 1 + c = 17 \implies c = 17 - 1 \implies c = 16 \end{aligned} $$ ## Solve subtraction equations (Questions 19, 21, 27, 29) Using the *One-Step Equations* and *Inverse Operations* knowledge points $$ \begin{aligned} &\text{Q19: } a - 7 = 9 \implies a = 9 + 7 \implies a = 16\ &\text{Q21: } 100 - w = 75 \implies w = 100 - 75 \implies w = 25\ &\text{Q27: } r - 20 = 70 \implies r = 70 + 20 \implies r = 90\ &\text{Q29: } 9 - v = 1 \implies v = 9 - 1 \implies v = 8 \end{aligned} $$ ## Solve multiplication equations (Questions 18, 24, 26) Using the *One-Step Equations* and *Inverse Operations* knowledge points $$ \begin{aligned} &\text{Q18: } m \times 3 = 6 \implies m = \frac{6}{3} \implies m = 2\ &\text{Q24: } 6 \times e = 6 \implies e = \frac{6}{6} \implies e = 1\ &\text{Q26: } 2 \times y = 60 \implies x = \frac{60}{2} \implies x = 30 \end{aligned} $$ ## Solve division equations (Questions 20, 23, 28) Using the *Division Equations* and *Inverse Operations* knowledge points $$ \begin{aligned} &\text{Q20: } y \div 2 = 8 \implies y = 8 \times 2 \implies y = 16\ &\text{Q23: } 48 \div w = 12 \implies w = \frac{48}{12} \implies w = 4\ &\text{Q28: } n \div 10 = 90 \implies n = 90 \times 10 \implies n = 900 \end{aligned} $$ | No. | Answer | |---|---| | 17 | $u = 15$ | | 18 | $m = 2$ | | 19 | $a = 16$ | | 20 | $y = 16$ | | 21 | $w = 25$ | | 22 | $h = 7$ | | 23 | $w = 4$ | | 24 | $e = 1$ | | 25 | $a = 47$ | | 26 | $x = 30$ | | 27 | $r = 90$ | | 28 | $n = 900$ | | 29 | $v = 8$ | | 30 | $c = 16$ | { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "One-Step Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Solve addition equations (Questions 17, 22, 25, 30)

Solve subtraction equations (Questions 19, 21, 27, 29)

Solve multiplication equations (Questions 18, 24, 26)

Solve division equations (Questions 20, 23, 28)

Answer:

No.	Answer
18	\(m = 2\)
19	\(a = 16\)
20	\(y = 16\)
21	\(w = 25\)
22	\(h = 7\)
23	\(w = 4\)
24	\(e = 1\)
25	\(a = 47\)
26	\(x = 30\)
27	\(r = 90\)
28	\(n = 900\)
29	\(v = 8\)
30	\(c = 16\)