This question tests writing algebraic expressions from verbal descriptions using variables (letters representing numbers) and operation symbols (+, -, ×, ÷). Translating words to algebra: 'more than/sum' → addition (+), 'less than/difference' → subtraction (-), 'times/product' → multiplication (coefficient: 3x means 3 times x), 'divided by/quotient' → division (x/4). Order matters for non-commutative: '5 less than n' means subtract 5 FROM n (n-5, not 5-n reversed), 'n divided by 4' means n/4 (not 4/n). Variable represents number: x, n, y are placeholders (unknown or any number in context). For example, '7 more than a number' uses variable n for number, 'more than' means add, expression: n+7; 'product of 3 and x' means 3 times x: 3x; 'twice a number plus 5' means 2 times n plus 5: 2n+5 (not 2(n+5) which would be twice the sum); 'x divided by 8' means x/8. The correct translation for the length of one piece of a y cm ribbon cut into 4 equal pieces is y/4, which matches choice C. A common error is reversing the division, like writing 4/y instead of y/4, or using multiplication like 4y. To write expressions: (1) identify operation words (more→add, times→multiply, less→subtract, divided→divide), (2) choose variable (n, x, y for 'a number'), (3) determine order (for subtraction/division: 'less than' and 'divided by' require careful order—'5 less than n' is n-5, subtract from first quantity), (4) write expression (n+5, 3x, x-7, y/4), (5) verify (if n=10: '5 more than n' gives 10+5=15✓, makes sense). Key phrases: 'more than' adds to variable (n+5), 'less than' subtracts from variable (n-7), 'times' multiplies (3n coefficient notation), 'of' often means multiply (half of n: (1/2)n=n/2). Mistakes: reversing order for subtraction/division (most common: less than and divided by backward), wrong operation (confusing sum and product), coefficient unclear (writing 3×x instead of 3x, acceptable but coefficient notation preferred).

This question tests writing algebraic expressions from verbal descriptions using variables (letters representing numbers) and operation symbols (+, -, ×, ÷). Translating words to algebra: "more than/sum" → addition (+), "less than/difference" → subtraction (-), "times/product" → multiplication (coefficient: $3x$ means 3 times x), "divided by/quotient" → division ($x/4$). Order matters for non-commutative: "5 less than n" means subtract 5 FROM n ($n-5$, not $5-n$ reversed), "n divided by 4" means $n/4$ (not $4/n$). Variable represents number: x, n, y are placeholders (unknown or any number in context). For example, "7 more than a number" uses variable n for number, "more than" means add, expression: $n+7$; "product of 3 and x" means 3 times x: $3x$; "twice a number plus 5" means 2 times n plus 5: $2n+5$ (not $2(n+5)$ which would be twice the sum); "x divided by 8" means $x/8$. The correct translation for 'half of x' is $x/2$, which matches choice C. A common error is reversing the division, like writing $2/x$, or confusing it with multiplication to get $2x$. To write expressions: (1) identify operation words (more→add, times→multiply, less→subtract, divided→divide), (2) choose variable (n, x, y for "a number"), (3) determine order (for subtraction/division: "less than" and "divided by" require careful order—"5 less than n" is $n-5$, subtract from first quantity), (4) write expression ($n+5$, $3x$, $x-7$, $y/4$), (5) verify (if n=10: "5 more than n" gives $10+5=15$✓, makes sense). Key phrases: "more than" adds to variable ($n+5$), "less than" subtracts from variable ($n-7$), "times" multiplies ($3n$ coefficient notation), "of" often means multiply (half of n: $(1/2)n=n/2$). Mistakes: reversing order for subtraction/division (most common: less than and divided by backward), wrong operation (confusing sum and product), coefficient unclear (writing $3×x$ instead of $3x$, acceptable but coefficient notation preferred).

This question tests writing algebraic expressions from verbal descriptions using variables (letters representing numbers) and operation symbols (+, -, ×, ÷). Translating words to algebra: "more than/sum" → addition (+), "less than/difference" → subtraction (-), "times/product" → multiplication (coefficient: 3x means 3 times x), "divided by/quotient" → division (x/4). Order matters for non-commutative: "5 less than n" means subtract 5 FROM n (n-5, not 5-n reversed), "n divided by 4" means n/4 (not 4/n). Variable represents number: x, n, y are placeholders (unknown or any number in context). For example, "7 more than a number" uses variable n for number, "more than" means add, expression: n+7; "product of 3 and x" means 3 times x: 3x; "twice a number plus 5" means 2 times n plus 5: 2n+5 (not 2(n+5) which would be twice the sum); "x divided by 8" means x/8. The correct translation for 'the sum of twice x and 7' is 2x + 7, which matches choice B. A common error is misinterpreting the order of operations, like writing 2(x + 7) instead of 2x + 7, or confusing sum with product to get something like x + 14. To write expressions: (1) identify operation words (more→add, times→multiply, less→subtract, divided→divide), (2) choose variable (n, x, y for "a number"), (3) determine order (for subtraction/division: "less than" and "divided by" require careful order—"5 less than n" is n-5, subtract from first quantity), (4) write expression (n+5, 3x, x-7, y/4), (5) verify (if n=10: "5 more than n" gives 10+5=15✓, makes sense). Key phrases: "more than" adds to variable (n+5), "less than" subtracts from variable (n-7), "times" multiplies (3n coefficient notation), "of" often means multiply (half of n: (1/2)n=n/2). Mistakes: reversing order for subtraction/division (most common: less than and divided by backward), wrong operation (confusing sum and product), coefficient unclear (writing 3×x instead of 3x, acceptable but coefficient notation preferred).

This question tests writing algebraic expressions from verbal descriptions using variables (letters representing numbers) and operation symbols ($+$, $-$, $\times$, $\div$). Translating words to algebra: "more than/sum" → addition ($+$), "less than/difference" → subtraction ($-$), "times/product" → multiplication (coefficient: $3x$ means 3 times x), "divided by/quotient" → division ($x/4$). Order matters for non-commutative: "5 less than n" means subtract 5 FROM n ($n-5$, not $5-n$ reversed), "n divided by 4" means $n/4$ (not $4/n$). Variable represents number: x, n, y are placeholders (unknown or any number in context). Example: "7 more than a number" uses variable n for number, "more than" means add, expression: $n+7$; "product of 3 and x" means 3 times x: $3x$; "twice a number plus 5" means 2 times n plus 5: $2n+5$ (not $2(n+5)$ which would be twice the sum); "x divided by 8" means $x/8$. The correct translation for the cost of the pen which is "2 dollars more than the notebook" where the notebook costs x dollars is $x + 2$. A common error is confusing "more than" with multiplication like $2x$, subtraction like $x - 2$, or division like $x/2$. Writing: (1) identify operation words (more→add, times→multiply, less→subtract, divided→divide), (2) choose variable (n, x, y for "a number"), (3) determine order (for subtraction/division: "less than" and "divided by" require careful order—"5 less than n" is $n-5$, subtract from first quantity), (4) write expression ($n+5$, $3x$, $x-7$, $y/4$), (5) verify (if n=10: "5 more than n" gives 10+5=15✓, makes sense). Key phrases: "more than" adds to variable ($n+5$), "less than" subtracts from variable ($n-7$), "times" multiplies ($3n$ coefficient notation), "of" often means multiply (half of n: $(1/2)n=n/2$). Mistakes: reversing order for subtraction/division (most common: less than and divided by backward), wrong operation (confusing sum and product), coefficient unclear (writing $3\times x$ instead of $3x$, acceptable but coefficient notation preferred).

This question tests writing algebraic expressions from verbal descriptions using variables (letters representing numbers) and operation symbols (+, -, ×, ÷). Translating words to algebra: "more than/sum" → addition (+), "less than/difference" → subtraction (-), "times/product" → multiplication (coefficient: 3x means 3 times x), "divided by/quotient" → division (x/4). Order matters for non-commutative: "5 less than n" means subtract 5 FROM n (n-5, not 5-n reversed), "n divided by 4" means n/4 (not 4/n). Variable represents number: x, n, y are placeholders (unknown or any number in context). Example: "7 more than a number" uses variable n for number, "more than" means add, expression: n+7; "product of 3 and x" means 3 times x: 3x; "twice a number plus 5" means 2 times n plus 5: 2n+5 (not 2(n+5) which would be twice the sum); "x divided by 8" means x/8. The correct translation for "5 more than the number of minutes she practices" where x is the minutes is x + 5. A common error is confusing addition with subtraction, like choosing x - 5 instead of x + 5, or mistaking it for multiplication like 5x. Writing: (1) identify operation words (more→add, times→multiply, less→subtract, divided→divide), (2) choose variable (n, x, y for "a number"), (3) determine order (for subtraction/division: "less than" and "divided by" require careful order—"5 less than n" is n-5, subtract from first quantity), (4) write expression (n+5, 3x, x-7, y/4), (5) verify (if n=10: "5 more than n" gives 10+5=15✓, makes sense). Key phrases: "more than" adds to variable (n+5), "less than" subtracts from variable (n-7), "times" multiplies (3n coefficient notation), "of" often means multiply (half of n: (1/2)n=n/2). Mistakes: reversing order for subtraction/division (most common: less than and divided by backward), wrong operation (confusing sum and product), coefficient unclear (writing 3×x instead of 3x, acceptable but coefficient notation preferred).

This question tests writing algebraic expressions from verbal descriptions using variables (letters representing numbers) and operation symbols (+, -, ×, ÷). Translating words to algebra: 'more than/sum' → addition (+), 'less than/difference' → subtraction (-), 'times/product' → multiplication (coefficient: $3x$ means 3 times x), 'divided by/quotient' → division ($x/4$). Order matters for non-commutative: '5 less than n' means subtract 5 FROM n ($n-5$, not $5-n$ reversed), 'n divided by 4' means $n/4$ (not $4/n$). Variable represents number: x, n, y are placeholders (unknown or any number in context). For example, '7 more than a number' uses variable n for number, 'more than' means add, expression: $n+7$; 'product of 3 and x' means 3 times x: $3x$; 'twice a number plus 5' means 2 times n plus 5: $2n+5$ (not $2(n+5)$ which would be twice the sum); 'x divided by 8' means $x/8$. The correct translation for 'half of m' is $m/2$, which matches choice C. A common error is reversing the division to $2/m$, or confusing with multiplication to get $2m$. To write expressions: (1) identify operation words (more→add, times→multiply, less→subtract, divided→divide), (2) choose variable (n, x, y for 'a number'), (3) determine order (for subtraction/division: 'less than' and 'divided by' require careful order—'5 less than n' is $n-5$, subtract from first quantity), (4) write expression ($n+5$, $3x$, $x-7$, $y/4$), (5) verify (if n=10: '5 more than n' gives 10+5=15✓, makes sense). Key phrases: 'more than' adds to variable ($n+5$), 'less than' subtracts from variable ($n-7$), 'times' multiplies ($3n$ coefficient notation), 'of' often means multiply (half of n: $(1/2)n=n/2$). Mistakes: reversing order for subtraction/division (most common: less than and divided by backward), wrong operation (confusing sum and product), coefficient unclear (writing 3×x instead of $3x$, acceptable but coefficient notation preferred).

This question tests writing algebraic expressions from verbal descriptions using variables (letters representing numbers) and operation symbols (+, -, ×, ÷). Translating words to algebra: "more than/sum" → addition (+), "less than/difference" → subtraction (-), "times/product" → multiplication (coefficient: $3x$ means 3 times $x$), "divided by/quotient" → division ($x/4$). Order matters for non-commutative: "5 less than $n$" means subtract 5 FROM $n$ ($n-5$, not $5-n$ reversed), "$n$ divided by 4" means $n/4$ (not $4/n$). Variable represents number: $x$, $n$, $y$ are placeholders (unknown or any number in context). Example: "7 more than a number" uses variable $n$ for number, "more than" means add, expression: $n+7$; "product of 3 and $x$" means 3 times $x$: $3x$; "twice a number plus 5" means 2 times $n$ plus 5: $2n+5$ (not $2(n+5)$ which would be twice the sum); "$x$ divided by 8" means $x/8$. The correct translation for the amount after "divided equally into 4 cups" where the bottle holds $x$ ounces is $x ÷ 4$ (or $x/4$, the amount per cup). A common error is reversing the division like $4/x$, or confusing with subtraction like $x - 4$ or multiplication like $4x$. Writing: (1) identify operation words (more→add, times→multiply, less→subtract, divided→divide), (2) choose variable ($n$, $x$, $y$ for "a number"), (3) determine order (for subtraction/division: "less than" and "divided by" require careful order—"5 less than $n$" is $n-5$, subtract from first quantity), (4) write expression ($n+5$, $3x$, $x-7$, $y/4$), (5) verify (if $n=10$: "5 more than $n$" gives $10+5=15✓$, makes sense). Key phrases: "more than" adds to variable ($n+5$), "less than" subtracts from variable ($n-7$), "times" multiplies ($3n$ coefficient notation), "of" often means multiply (half of $n$: $(1/2)n=n/2$). Mistakes: reversing order for subtraction/division (most common: less than and divided by backward), wrong operation (confusing sum and product), coefficient unclear (writing $3×x$ instead of $3x$, acceptable but coefficient notation preferred).

This question tests writing algebraic expressions from verbal descriptions using variables (letters representing numbers) and operation symbols (+, -, ×, ÷). Translating words to algebra: 'more than/sum' → addition (+), 'less than/difference' → subtraction (-), 'times/product' → multiplication (coefficient: 3x means 3 times x), 'divided by/quotient' → division (x/4). Order matters for non-commutative: '5 less than n' means subtract 5 FROM n (n-5, not 5-n reversed), 'n divided by 4' means n/4 (not 4/n). Variable represents number: x, n, y are placeholders (unknown or any number in context). For example, '7 more than a number' uses variable n for number, 'more than' means add, expression: n+7; 'product of 3 and x' means 3 times x: 3x; 'twice a number plus 5' means 2 times n plus 5: 2n+5 (not 2(n+5) which would be twice the sum); 'x divided by 8' means x/8. The correct translation for '5 more than n' is n + 5, which matches choice B. A common error is reversing the order, like writing 5 - n instead of n - 5 for subtraction phrases, or confusing 'more than' with multiplication to get 5n. To write expressions: (1) identify operation words (more→add, times→multiply, less→subtract, divided→divide), (2) choose variable (n, x, y for 'a number'), (3) determine order (for subtraction/division: 'less than' and 'divided by' require careful order—'5 less than n' is n-5, subtract from first quantity), (4) write expression (n+5, 3x, x-7, y/4), (5) verify (if n=10: '5 more than n' gives 10+5=15✓, makes sense). Key phrases: 'more than' adds to variable (n+5), 'less than' subtracts from variable (n-7), 'times' multiplies (3n coefficient notation), 'of' often means multiply (half of n: (1/2)n=n/2). Mistakes: reversing order for subtraction/division (most common: less than and divided by backward), wrong operation (confusing sum and product), coefficient unclear (writing 3×x instead of 3x, acceptable but coefficient notation preferred).

This question tests writing algebraic expressions from verbal descriptions using variables (letters representing numbers) and operation symbols (+, -, ×, ÷). Translating words to algebra: "more than/sum" → addition (+), "less than/difference" → subtraction (-), "times/product" → multiplication (coefficient: 3x means 3 times x), "divided by/quotient" → division (x/4). Order matters for non-commutative: "5 less than n" means subtract 5 FROM n (n-5, not 5-n reversed), "n divided by 4" means n/4 (not 4/n). Variable represents number: x, n, y are placeholders (unknown or any number in context). Example: "7 more than a number" uses variable n for number, "more than" means add, expression: n+7; "product of 3 and x" means 3 times x: 3x; "twice a number plus 5" means 2 times n plus 5: 2n+5 (not 2(n+5) which would be twice the sum); "x divided by 8" means x/8. The correct translation for "2 more than twice the number of stickers" where x is the number is 2x + 2. A common error is misunderstanding the combined operations, like choosing 2(x + 2) which is twice the sum instead of 2x + 2, or x + 2x which is 3x. Writing: (1) identify operation words (more→add, times→multiply, less→subtract, divided→divide), (2) choose variable (n, x, y for "a number"), (3) determine order (for subtraction/division: "less than" and "divided by" require careful order—"5 less than n" is n-5, subtract from first quantity), (4) write expression (n+5, 3x, x-7, y/4), (5) verify (if n=10: "5 more than n" gives 10+5=15✓, makes sense). Key phrases: "more than" adds to variable (n+5), "less than" subtracts from variable (n-7), "times" multiplies (3n coefficient notation), "of" often means multiply (half of n: (1/2)n=n/2). Mistakes: reversing order for subtraction/division (most common: less than and divided by backward), wrong operation (confusing sum and product), coefficient unclear (writing 3×x instead of 3x, acceptable but coefficient notation preferred).

This question tests writing algebraic expressions from verbal descriptions using variables (letters representing numbers) and operation symbols (+, -, ×, ÷). Translating words to algebra: "more than/sum" → addition (+), "less than/difference" → subtraction (-), "times/product" → multiplication (coefficient: 3x means 3 times x), "divided by/quotient" → division (x/4). Order matters for non-commutative: "5 less than n" means subtract 5 FROM n (n-5, not 5-n reversed), "n divided by 4" means n/4 (not 4/n). Variable represents number: x, n, y are placeholders (unknown or any number in context). For example, "7 more than a number" uses variable n for number, "more than" means add, expression: n+7; "product of 3 and x" means 3 times x: 3x; "twice a number plus 5" means 2 times n plus 5: 2n+5 (not 2(n+5) which would be twice the sum); "x divided by 8" means x/8. The correct translation for 'x divided by 4' is x/4, which matches choice C. A common error is reversing the division, like writing 4/x, or confusing it with multiplication to get 4x. To write expressions: (1) identify operation words (more→add, times→multiply, less→subtract, divided→divide), (2) choose variable (n, x, y for "a number"), (3) determine order (for subtraction/division: "less than" and "divided by" require careful order—"5 less than n" is n-5, subtract from first quantity), (4) write expression (n+5, 3x, x-7, y/4), (5) verify (if n=10: "5 more than n" gives 10+5=15✓, makes sense). Key phrases: "more than" adds to variable (n+5), "less than" subtracts from variable (n-7), "times" multiplies (3n coefficient notation), "of" often means multiply (half of n: (1/2)n=n/2). Mistakes: reversing order for subtraction/division (most common: less than and divided by backward), wrong operation (confusing sum and product), coefficient unclear (writing 3×x instead of 3x, acceptable but coefficient notation preferred).