problems 1-12: solve each problem.
1) $5 \cdot 7 =$
2) $2(8) =$
3) $4 \cdot 9 =$
4) $10(6) =$
5) $4e = 28$
$e =$
6) $m(9) = 72$
$m =$
7) $6x = 48$
$x =$
8) $w \cdot 5 = 15$
$w =$
9) $10(x) = 50$
$x =$
10) $2a = 22$
$a =$
11) $y \cdot 6 = 42$
$y =$
12) $7n = 14$
$n =$

problems 13-16: rewrite each problem using a dot symbol.
13) $10 \times m = 40$
14) $h \times 5 = 30$
15) $14 \times x = 28$
16) $m \times 20 = 60$

problems 17-20: rewrite each problem using no space between the variable and the number.
17) $w \times 8 = 56$
18) $12 \times e = 36$
19) $n \times 9 = 54$
20) $7 \times v = 35$

Question

problems 1-12: solve each problem.
1) $5 \cdot 7 =$
2) $2(8) =$
3) $4 \cdot 9 =$
4) $10(6) =$
5) $4e = 28$
$e =$
6) $m(9) = 72$
$m =$
7) $6x = 48$
$x =$
8) $w \cdot 5 = 15$
$w =$
9) $10(x) = 50$
$x =$
10) $2a = 22$
$a =$
11) $y \cdot 6 = 42$
$y =$
12) $7n = 14$
$n =$

problems 13-16: rewrite each problem using a dot symbol.
13) $10 \times m = 40$
14) $h \times 5 = 30$
15) $14 \times x = 28$
16) $m \times 20 = 60$

problems 17-20: rewrite each problem using no space between the variable and the number.
17) $w \times 8 = 56$
18) $12 \times e = 36$
19) $n \times 9 = 54$
20) $7 \times v = 35$

Accepted Answer

{ "quality": "clear", "question_count": 20, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "One-Step Equations", "Inverse Operations" ], "new_concepts": [ "Algebraic Notation", "Multiplication Notation" ], "current_concepts": [ "One-Step Equations", "Inverse Operations", "Algebraic Notation", "Multiplication Notation" ] } ## Solve basic multiplication drills Using the *Inverse Operations* knowledge point $$ \begin{aligned} &\text{1. } 5 \cdot 7 = 35\ &\text{2. } 2(8) = 16\ &\text{3. } 4 \cdot 9 = 36\ &\text{4. } 10(6) = 60 \end{aligned} $$ ## Solve one-step multiplication equations Using the *One-Step Equations* and *Inverse Operations* knowledge points $$ \begin{aligned} &\text{5. } 4e = 28 \implies e = \frac{28}{4} = 7\ &\text{6. } m(9) = 72 \implies m = \frac{72}{9} = 8\ &\text{7. } 6x = 48 \implies x = \frac{48}{6} = 8\ &\text{8. } w \cdot 5 = 15 \implies w = \frac{15}{5} = 3\ &\text{9. } 10(x) = 50 \implies x = \frac{50}{10} = 5\ &\text{10. } 2a = 22 \implies a = \frac{22}{2} = 11\ &\text{11. } y \cdot 6 = 42 \implies y = \frac{42}{6} = 7\ &\text{12. } 7n = 14 \implies n = \frac{14}{7} = 2 \end{aligned} $$ ## Rewrite using a dot symbol To rewrite multiplication equations using a dot symbol, replace the cross multiplication sign $\times$ with a dot $\cdot$. - For question 13, $10 \times m = 40$ becomes $10 \cdot m = 40$. - For question 14, $h \times 5 = 30$ becomes $h \cdot 5 = 30$. - For question 15, $14 \times x = 28$ becomes $14 \cdot x = 28$. - For question 16, $m \times 20 = 60$ becomes $m \cdot 20 = 60$. ## Rewrite with no space between variable and number In algebra, we write the numerical coefficient directly in front of the variable without any spaces or multiplication symbols. - For question 17, $w \times 8 = 56$ is written as $8w = 56$. - For question 18, $12 \times e = 36$ is written as $12e = 36$. - For question 19, $n \times 9 = 54$ is written as $9n = 54$. - For question 20, $7 \times v = 35$ is written as $7v = 35$. | No. | Answer | |---|---| | 1 | $35$ | | 2 | $16$ | | 3 | $36$ | | 4 | $60$ | | 5 | $e = 7$ | | 6 | $m = 8$ | | 7 | $x = 8$ | | 8 | $w = 3$ | | 9 | $x = 5$ | | 10 | $a = 11$ | | 11 | $y = 7$ | | 12 | $n = 2$ | | 13 | $10 \cdot m = 40$ | | 14 | $h \cdot 5 = 30$ | | 15 | $14 \cdot x = 28$ | | 16 | $m \cdot 20 = 60$ | | 17 | $8w = 56$ | | 18 | $12e = 36$ | | 19 | $9n = 54$ | | 20 | $7v = 35$ | { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "One-Step Equations" ] }

No.	Answer
2	\(16\)
3	\(36\)
4	\(60\)
5	\(e = 7\)
6	\(m = 8\)
7	\(x = 8\)
8	\(w = 3\)
9	\(x = 5\)
10	\(a = 11\)
11	\(y = 7\)
12	\(n = 2\)
13	\(10 \cdot m = 40\)
14	\(h \cdot 5 = 30\)
15	\(14 \cdot x = 28\)
16	\(m \cdot 20 = 60\)
17	\(8w = 56\)
18	\(12e = 36\)
19	\(9n = 54\)
20	\(7v = 35\)

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Solve basic multiplication drills

Solve one-step multiplication equations

Rewrite using a dot symbol

Rewrite with no space between variable and number

Answer: