Word Problems to Expressions - ISEE Upper Level: Quantitative Reasoning
Card 1 of 25
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 x to indicate a reduction by seven.
$x - 7$. Subtracts 7 from x to indicate a reduction by seven.
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What algebraic expression represents “$x$ decreased by $20%$”?
What algebraic expression represents “$x$ decreased by $20%$”?
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$0.8x$. Multiplies x by 0.8 to subtract 20% from x.
$0.8x$. Multiplies x by 0.8 to subtract 20% from x.
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What algebraic expression represents “$15%$ of a number $x$”?
What algebraic expression represents “$15%$ of a number $x$”?
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$0.15x$. Multiplies x by 0.15 to calculate 15% of the value.
$0.15x$. Multiplies x by 0.15 to calculate 15% of the value.
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What algebraic expression represents “the difference between $x$ and $12$”?
What algebraic expression represents “the difference between $x$ and $12$”?
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$x - 12$. Represents the subtraction of 12 from x as the difference.
$x - 12$. Represents the subtraction of 12 from x as the difference.
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What algebraic expression represents “$12$ less than $x$”?
What algebraic expression represents “$12$ less than $x$”?
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$x - 12$. Subtracts 12 from x to show a decrease by 12.
$x - 12$. Subtracts 12 from x to show a decrease by 12.
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What algebraic expression represents “the sum of $x$ and $12$”?
What algebraic expression represents “the sum of $x$ and $12$”?
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$x + 12$. Combines x and 12 through addition to form their total.
$x + 12$. Combines x and 12 through addition to form their total.
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What algebraic expression represents “three times a number $x$”?
What algebraic expression represents “three times a number $x$”?
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$3x$. Multiplies x by 3 to denote tripling the value.
$3x$. Multiplies x by 3 to denote tripling the value.
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What algebraic expression represents “twice the sum of $x$ and $5$”?
What algebraic expression represents “twice the sum of $x$ and $5$”?
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$2(x + 5)$. First adds x and 5, then multiplies by 2 to double the sum.
$2(x + 5)$. First adds x and 5, then multiplies by 2 to double the sum.
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What algebraic expression represents “the sum of twice $x$ and $5$”?
What algebraic expression represents “the sum of twice $x$ and $5$”?
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$2x + 5$. Doubles x and then adds 5 to form the sum.
$2x + 5$. Doubles x and then adds 5 to form the sum.
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What algebraic expression represents “$5$ more than twice $x$”?
What algebraic expression represents “$5$ more than twice $x$”?
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$2x + 5$. Increases twice x by adding 5.
$2x + 5$. Increases twice x by adding 5.
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What algebraic expression represents “the product of $x$ and $y$”?
What algebraic expression represents “the product of $x$ and $y$”?
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$xy$. Multiplies x and y to express their product.
$xy$. Multiplies x and y to express their product.
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What algebraic expression represents “$x$ is $4$ less than $y$”?
What algebraic expression represents “$x$ is $4$ less than $y$”?
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$x = y - 4$. Sets x equal to y minus 4 to show it is 4 less.
$x = y - 4$. Sets x equal to y minus 4 to show it is 4 less.
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What algebraic expression represents “$x$ is between $3$ and $8$, inclusive”?
What algebraic expression represents “$x$ is between $3$ and $8$, inclusive”?
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$3 \le x \le 8$. Bounds x between 3 and 8 inclusive with inequalities.
$3 \le x \le 8$. Bounds x between 3 and 8 inclusive with inequalities.
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What algebraic expression represents “$x$ is no more than $10$”?
What algebraic expression represents “$x$ is no more than $10$”?
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$x \le 10$. Uses less than or equal to indicate x does not exceed 10.
$x \le 10$. Uses less than or equal to indicate x does not exceed 10.
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What algebraic expression represents “$x$ is at least $10$”?
What algebraic expression represents “$x$ is at least $10$”?
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$x \ge 10$. Uses greater than or equal to show x is 10 or more.
$x \ge 10$. Uses greater than or equal to show x is 10 or more.
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What algebraic expression represents “the average of $x$ and $y$”?
What algebraic expression represents “the average of $x$ and $y$”?
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$\frac{x + y}{2}$. Divides the sum of x and y by 2 to find their mean.
$\frac{x + y}{2}$. Divides the sum of x and y by 2 to find their mean.
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What algebraic expression represents “the sum of the squares of $x$ and $3$”?
What algebraic expression represents “the sum of the squares of $x$ and $3$”?
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$x^2 + 3^2$. Adds the square of x to the square of 3.
$x^2 + 3^2$. Adds the square of x to the square of 3.
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What algebraic expression represents “$x$ divided by $y$”?
What algebraic expression represents “$x$ divided by $y$”?
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$\frac{x}{y}$. Divides x by y to represent the ratio.
$\frac{x}{y}$. Divides x by y to represent the ratio.
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What algebraic expression represents “five more than a number $x$”?
What algebraic expression represents “five more than a number $x$”?
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$x + 5$. Adds 5 to the variable x to express an increase by five units.
$x + 5$. Adds 5 to the variable x to express an increase by five units.
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What algebraic expression represents “the square of the sum of $x$ and $3$”?
What algebraic expression represents “the square of the sum of $x$ and $3$”?
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$(x + 3)^2$. Squares the sum of x and 3 as a whole.
$(x + 3)^2$. Squares the sum of x and 3 as a whole.
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What algebraic expression represents “$3$ less than the square of $x$”?
What algebraic expression represents “$3$ less than the square of $x$”?
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$x^2 - 3$. Subtracts 3 from the square of x to decrease it by 3.
$x^2 - 3$. Subtracts 3 from the square of x to decrease it by 3.
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What algebraic expression represents “a number $x$ increased by $15%$”?
What algebraic expression represents “a number $x$ increased by $15%$”?
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$x + 0.15x$. Adds 15% of x to x itself to show the increase.
$x + 0.15x$. Adds 15% of x to x itself to show the increase.
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What algebraic expression represents “one half of a number $x$”?
What algebraic expression represents “one half of a number $x$”?
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$\frac{1}{2}x$. Multiplies x by one-half to represent half the value.
$\frac{1}{2}x$. Multiplies x by one-half to represent half the value.
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What algebraic expression represents “$7$ divided by $x$”?
What algebraic expression represents “$7$ divided by $x$”?
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$\frac{7}{x}$. Divides 7 by x to express the division.
$\frac{7}{x}$. Divides 7 by x to express the division.
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What algebraic expression represents “the quotient of $x$ and $7$”?
What algebraic expression represents “the quotient of $x$ and $7$”?
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$\frac{x}{7}$. Divides x by 7 to form the quotient with x as numerator.
$\frac{x}{7}$. Divides x by 7 to form the quotient with x as numerator.
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