Write Expressions With Numbers and Variables - 6th Grade Math
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What is the algebraic expression for “$5$ decreased by the square of $n$”?
What is the algebraic expression for “$5$ decreased by the square of $n$”?
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$5 - n^2$. "Decreased by" means subtract from $5$.
$5 - n^2$. "Decreased by" means subtract from $5$.
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What does the variable $x$ represent in an algebraic expression?
What does the variable $x$ represent in an algebraic expression?
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$x$ represents an unknown number. Variables stand for unknown values in math.
$x$ represents an unknown number. Variables stand for unknown values in math.
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What operation does the expression $x + 7$ record?
What operation does the expression $x + 7$ record?
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Addition of $7$ to $x$. The plus sign shows we're adding two values.
Addition of $7$ to $x$. The plus sign shows we're adding two values.
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What operation does the expression $12 - y$ record?
What operation does the expression $12 - y$ record?
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Subtraction of $y$ from $12$. The minus sign shows we're taking away $y$ from $12$.
Subtraction of $y$ from $12$. The minus sign shows we're taking away $y$ from $12$.
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What operation does the expression $3n$ record?
What operation does the expression $3n$ record?
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Multiplication of $3$ and $n$. Writing numbers next to variables means multiply.
Multiplication of $3$ and $n$. Writing numbers next to variables means multiply.
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What operation does the expression $p \div 5$ record?
What operation does the expression $p \div 5$ record?
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Division of $p$ by $5$. The division symbol shows we're splitting $p$ into $5$ equal parts.
Division of $p$ by $5$. The division symbol shows we're splitting $p$ into $5$ equal parts.
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What does the expression $n^2$ mean?
What does the expression $n^2$ mean?
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$n$ multiplied by itself, $n \cdot n$. The exponent $2$ means multiply $n$ by itself.
$n$ multiplied by itself, $n \cdot n$. The exponent $2$ means multiply $n$ by itself.
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What does the expression $2(x + 5)$ record?
What does the expression $2(x + 5)$ record?
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$2$ times the quantity $(x + 5)$. Parentheses show to add first, then multiply by $2$.
$2$ times the quantity $(x + 5)$. Parentheses show to add first, then multiply by $2$.
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What does the expression $\frac{m}{4}$ record?
What does the expression $\frac{m}{4}$ record?
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$m$ divided by $4$. The fraction bar represents division.
$m$ divided by $4$. The fraction bar represents division.
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What is the algebraic expression for “the sum of $n$ and $9$”?
What is the algebraic expression for “the sum of $n$ and $9$”?
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$n + 9$. "Sum" means addition in math language.
$n + 9$. "Sum" means addition in math language.
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What is the algebraic expression for “$6$ less than $x$”?
What is the algebraic expression for “$6$ less than $x$”?
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$x - 6$. "Less than" means subtract from the number mentioned.
$x - 6$. "Less than" means subtract from the number mentioned.
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What is the algebraic expression for “$6$ less than twice $x$”?
What is the algebraic expression for “$6$ less than twice $x$”?
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$2x - 6$. First double $x$ to get $2x$, then subtract $6$.
$2x - 6$. First double $x$ to get $2x$, then subtract $6$.
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What is the algebraic expression for “$6$ less than the product of $2$ and $x$”?
What is the algebraic expression for “$6$ less than the product of $2$ and $x$”?
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$2x - 6$. "Product" means multiply, then subtract $6$.
$2x - 6$. "Product" means multiply, then subtract $6$.
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What is the algebraic expression for “the difference of $y$ and $4$”?
What is the algebraic expression for “the difference of $y$ and $4$”?
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$y - 4$. "Difference" means subtraction in math.
$y - 4$. "Difference" means subtraction in math.
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What is the algebraic expression for “$4$ more than $y$”?
What is the algebraic expression for “$4$ more than $y$”?
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$y + 4$. "More than" means add to the variable.
$y + 4$. "More than" means add to the variable.
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What is the algebraic expression for “the product of $7$ and $t$”?
What is the algebraic expression for “the product of $7$ and $t$”?
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$7t$. "Product" means multiplication result.
$7t$. "Product" means multiplication result.
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What is the algebraic expression for “$q$ divided by $8$”?
What is the algebraic expression for “$q$ divided by $8$”?
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$\frac{q}{8}$. "Divided by" puts $q$ in numerator, $8$ in denominator.
$\frac{q}{8}$. "Divided by" puts $q$ in numerator, $8$ in denominator.
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What is the algebraic expression for “$8$ divided by $q$”?
What is the algebraic expression for “$8$ divided by $q$”?
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$\frac{8}{q}$. Order matters: $8$ is divided by $q$.
$\frac{8}{q}$. Order matters: $8$ is divided by $q$.
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What is the algebraic expression for “three times the sum of $a$ and $2$”?
What is the algebraic expression for “three times the sum of $a$ and $2$”?
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$3(a + 2)$. Parentheses show to add first before multiplying.
$3(a + 2)$. Parentheses show to add first before multiplying.
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What is the algebraic expression for “the sum of $3a$ and $2$”?
What is the algebraic expression for “the sum of $3a$ and $2$”?
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$3a + 2$. Add the products: $3$ times $a$ plus $2$.
$3a + 2$. Add the products: $3$ times $a$ plus $2$.
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What does the phrase “twice a number $x$” translate to as an expression?
What does the phrase “twice a number $x$” translate to as an expression?
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$2x$. "Twice" means multiply by $2$.
$2x$. "Twice" means multiply by $2$.
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What does the phrase “the sum of $x$ and $y$, divided by $4$” translate to as an expression?
What does the phrase “the sum of $x$ and $y$, divided by $4$” translate to as an expression?
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$\frac{x + y}{4}$. Add first, then divide the sum by $4$.
$\frac{x + y}{4}$. Add first, then divide the sum by $4$.
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What does the phrase “$4$ divided by the sum of $x$ and $y$” translate to as an expression?
What does the phrase “$4$ divided by the sum of $x$ and $y$” translate to as an expression?
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$\frac{4}{x + y}$. $4$ is the numerator, sum is the denominator.
$\frac{4}{x + y}$. $4$ is the numerator, sum is the denominator.
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What does the phrase “the product of $5$ and the difference of $x$ and $2$” translate to as an expression?
What does the phrase “the product of $5$ and the difference of $x$ and $2$” translate to as an expression?
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$5(x - 2)$. Multiply $5$ by the entire difference.
$5(x - 2)$. Multiply $5$ by the entire difference.
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What does the phrase “a number $n$ increased by $7$” translate to as an expression?
What does the phrase “a number $n$ increased by $7$” translate to as an expression?
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$n + 7$. "Increased by" means addition.
$n + 7$. "Increased by" means addition.
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