Word Problems to Expressions - SSAT Middle Level: Quantitative
Card 1 of 25
What algebraic expression represents “the sum of the squares of $x$ and $y$”?
What algebraic expression represents “the sum of the squares of $x$ and $y$”?
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$x^2+y^2$. Adds the square of $x$ to the square of $y$, applying the exponent to each variable separately.
$x^2+y^2$. Adds the square of $x$ to the square of $y$, applying the exponent to each variable separately.
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What algebraic expression represents “five more than a number $n$”?
What algebraic expression represents “five more than a number $n$”?
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$n+5$. Adds 5 to the variable $n$ to express an increase by five units.
$n+5$. Adds 5 to the variable $n$ to express an increase by five units.
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What algebraic expression represents “seven less than a number $x$”?
What algebraic expression represents “seven less than a number $x$”?
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$x-7$. Subtracts 7 from the variable $x$ to indicate a decrease by seven.
$x-7$. Subtracts 7 from the variable $x$ to indicate a decrease by seven.
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What algebraic expression represents “three times a number $y$”?
What algebraic expression represents “three times a number $y$”?
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$3y$. Multiplies the variable $y$ by 3 to represent tripling the value.
$3y$. Multiplies the variable $y$ by 3 to represent tripling the value.
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What algebraic expression represents “twice the sum of $a$ and $b$”?
What algebraic expression represents “twice the sum of $a$ and $b$”?
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$2(a+b)$. Multiplies the sum of $a$ and $b$ by 2, using parentheses to group the addition first.
$2(a+b)$. Multiplies the sum of $a$ and $b$ by 2, using parentheses to group the addition first.
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What algebraic expression represents “the sum of twice $a$ and $b$”?
What algebraic expression represents “the sum of twice $a$ and $b$”?
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$2a+b$. Adds $b$ to twice $a$, prioritizing the multiplication before addition.
$2a+b$. Adds $b$ to twice $a$, prioritizing the multiplication before addition.
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What algebraic expression represents “the difference of $p$ and $q$”?
What algebraic expression represents “the difference of $p$ and $q$”?
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$p-q$. Subtracts $q$ from $p$ to denote the difference, with $p$ as the minuend.
$p-q$. Subtracts $q$ from $p$ to denote the difference, with $p$ as the minuend.
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What algebraic expression represents “$q$ subtracted from $p$”?
What algebraic expression represents “$q$ subtracted from $p$”?
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$p-q$. Subtracts $q$ from $p$, following the order specified in subtraction.
$p-q$. Subtracts $q$ from $p$, following the order specified in subtraction.
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What algebraic expression represents “$p$ subtracted from $q$”?
What algebraic expression represents “$p$ subtracted from $q$”?
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$q-p$. Subtracts $p$ from $q$, reversing the order for the specified subtraction.
$q-p$. Subtracts $p$ from $q$, reversing the order for the specified subtraction.
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What algebraic expression represents “the product of $m$ and $n$”?
What algebraic expression represents “the product of $m$ and $n$”?
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$mn$. Multiplies $m$ and $n$ directly, as juxtaposition implies multiplication.
$mn$. Multiplies $m$ and $n$ directly, as juxtaposition implies multiplication.
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What algebraic expression represents “the quotient of $x$ and $5$”?
What algebraic expression represents “the quotient of $x$ and $5$”?
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$\frac{x}{5}$. Divides $x$ by 5 to express the quotient with $x$ as the dividend.
$\frac{x}{5}$. Divides $x$ by 5 to express the quotient with $x$ as the dividend.
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What algebraic expression represents “$5$ divided by a number $x$”?
What algebraic expression represents “$5$ divided by a number $x$”?
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$\frac{5}{x}$. Divides 5 by $x$ to represent the specified order of division.
$\frac{5}{x}$. Divides 5 by $x$ to represent the specified order of division.
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What algebraic expression represents “one third of the sum of $x$ and $9$”?
What algebraic expression represents “one third of the sum of $x$ and $9$”?
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$\frac{x+9}{3}$. Divides the sum of $x$ and 9 by 3, grouping the addition within parentheses.
$\frac{x+9}{3}$. Divides the sum of $x$ and 9 by 3, grouping the addition within parentheses.
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What algebraic expression represents “the square of the sum of $x$ and $2$”?
What algebraic expression represents “the square of the sum of $x$ and $2$”?
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$(x+2)^2$. Squares the sum of $x$ and 2, using parentheses to apply the exponent to the entire binomial.
$(x+2)^2$. Squares the sum of $x$ and 2, using parentheses to apply the exponent to the entire binomial.
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What algebraic expression represents “$4$ more than twice a number $k$”?
What algebraic expression represents “$4$ more than twice a number $k$”?
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$2k+4$. Adds 4 to twice $k$, performing multiplication before addition.
$2k+4$. Adds 4 to twice $k$, performing multiplication before addition.
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What algebraic expression represents “twice a number $k$ increased by $4$”?
What algebraic expression represents “twice a number $k$ increased by $4$”?
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$2k+4$. Increases twice $k$ by 4, equivalent to adding after multiplying.
$2k+4$. Increases twice $k$ by 4, equivalent to adding after multiplying.
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What algebraic expression represents “$4$ increased by twice a number $k$”?
What algebraic expression represents “$4$ increased by twice a number $k$”?
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$4+2k$. Adds twice $k$ to 4, using commutative property of addition.
$4+2k$. Adds twice $k$ to 4, using commutative property of addition.
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What algebraic expression represents “$4$ less than twice a number $k$”?
What algebraic expression represents “$4$ less than twice a number $k$”?
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$2k-4$. Subtracts 4 from twice $k$ to indicate a decrease after multiplication.
$2k-4$. Subtracts 4 from twice $k$ to indicate a decrease after multiplication.
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What algebraic expression represents “twice the difference of $x$ and $3$”?
What algebraic expression represents “twice the difference of $x$ and $3$”?
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$2(x-3)$. Multiplies the difference of $x$ and 3 by 2, grouping the subtraction in parentheses.
$2(x-3)$. Multiplies the difference of $x$ and 3 by 2, grouping the subtraction in parentheses.
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What algebraic expression represents “the difference of twice $x$ and $3$”?
What algebraic expression represents “the difference of twice $x$ and $3$”?
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$2x-3$. Subtracts 3 from twice $x$, prioritizing multiplication before subtraction.
$2x-3$. Subtracts 3 from twice $x$, prioritizing multiplication before subtraction.
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What algebraic expression represents “$6$ decreased by $y$”?
What algebraic expression represents “$6$ decreased by $y$”?
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$6-y$. Subtracts $y$ from 6 to represent the decrease in the specified order.
$6-y$. Subtracts $y$ from 6 to represent the decrease in the specified order.
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What algebraic expression represents “$y$ decreased by $6$”?
What algebraic expression represents “$y$ decreased by $6$”?
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$y-6$. Subtracts 6 from $y$ to indicate the variable decreased by a constant.
$y-6$. Subtracts 6 from $y$ to indicate the variable decreased by a constant.
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What algebraic expression represents “$3$ fewer than the number of apples $a$”?
What algebraic expression represents “$3$ fewer than the number of apples $a$”?
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$a-3$. Subtracts 3 from $a$ to express having three fewer items.
$a-3$. Subtracts 3 from $a$ to express having three fewer items.
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What algebraic expression represents “half of a number $t$”?
What algebraic expression represents “half of a number $t$”?
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$\frac{t}{2}$. Divides $t$ by 2 to represent half the value of the variable.
$\frac{t}{2}$. Divides $t$ by 2 to represent half the value of the variable.
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What algebraic expression represents “the ratio of $a$ to $b$”?
What algebraic expression represents “the ratio of $a$ to $b$”?
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$\frac{a}{b}$. Divides $a$ by $b$ to denote the ratio, with $a$ as the numerator.
$\frac{a}{b}$. Divides $a$ by $b$ to denote the ratio, with $a$ as the numerator.
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