Equation From a Situation - ISEE Middle Level: Mathematics Achievement
Card 1 of 24
Which equation models: The number $y$ is $12$ less than twice $x$?
Which equation models: The number $y$ is $12$ less than twice $x$?
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$y=2x-12$. Expresses y as twice x reduced by 12.
$y=2x-12$. Expresses y as twice x reduced by 12.
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Which equation models: The average of $a$, $b$, and $c$ is $M$?
Which equation models: The average of $a$, $b$, and $c$ is $M$?
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$M=\frac{a+b+c}{3}$. Computes the arithmetic mean by summing the values and dividing by 3.
$M=\frac{a+b+c}{3}$. Computes the arithmetic mean by summing the values and dividing by 3.
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Which equation models: The area $A$ of a triangle with base $b$ and height $h$?
Which equation models: The area $A$ of a triangle with base $b$ and height $h$?
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$A=\frac{1}{2}bh$. Determines the area by multiplying the base and height, then dividing by 2.
$A=\frac{1}{2}bh$. Determines the area by multiplying the base and height, then dividing by 2.
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Which equation models: The distance $d$ traveled at speed $r$ for time $t$?
Which equation models: The distance $d$ traveled at speed $r$ for time $t$?
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$d=rt$. Expresses distance as the product of rate and time.
$d=rt$. Expresses distance as the product of rate and time.
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Which equation models: A jacket originally costs $p$ dollars and is discounted by $20%$; sale price is $S$?
Which equation models: A jacket originally costs $p$ dollars and is discounted by $20%$; sale price is $S$?
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$S=0.8p$. Applies an 80% factor to the original price to account for the 20% discount.
$S=0.8p$. Applies an 80% factor to the original price to account for the 20% discount.
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Which equation models: A number $x$ increased by $7$ equals $15$?
Which equation models: A number $x$ increased by $7$ equals $15$?
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$x+7=15$. Models the situation where adding 7 to x results in 15.
$x+7=15$. Models the situation where adding 7 to x results in 15.
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Which equation models: Three times a number $n$ decreased by $5$ is $19$?
Which equation models: Three times a number $n$ decreased by $5$ is $19$?
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$3n-5=19$. Represents three times n minus 5 equaling 19.
$3n-5=19$. Represents three times n minus 5 equaling 19.
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Which equation models: The sum of two consecutive integers is $41$; let the first be $n$?
Which equation models: The sum of two consecutive integers is $41$; let the first be $n$?
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$n+(n+1)=41$. Adds two consecutive integers to equal 41.
$n+(n+1)=41$. Adds two consecutive integers to equal 41.
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Which equation models: The sum of three consecutive integers is $72$; let the middle integer be $n$?
Which equation models: The sum of three consecutive integers is $72$; let the middle integer be $n$?
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$(n-1)+n+(n+1)=72$. Sums three consecutive integers with n as the middle to equal 72.
$(n-1)+n+(n+1)=72$. Sums three consecutive integers with n as the middle to equal 72.
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Which equation models: You buy $x$ notebooks at $\$3$ each and pay $$2$ tax; total cost is $T$?
Which equation models: You buy $x$ notebooks at $\$3$ each and pay $$2$ tax; total cost is $T$?
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$T=3x+2$. Calculates total cost as the price per notebook times quantity plus fixed tax.
$T=3x+2$. Calculates total cost as the price per notebook times quantity plus fixed tax.
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Which equation models: A gym charges $\$25$ per month plus a $$40$ sign-up fee; total after $m$ months is $C$?
Which equation models: A gym charges $\$25$ per month plus a $$40$ sign-up fee; total after $m$ months is $C$?
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$C=25m+40$. Adds the monthly fees for m months to the one-time sign-up fee.
$C=25m+40$. Adds the monthly fees for m months to the one-time sign-up fee.
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Which equation models: A recipe uses $\frac{3}{4}$ cup of sugar per batch; for $b$ batches, total sugar is $S$ cups?
Which equation models: A recipe uses $\frac{3}{4}$ cup of sugar per batch; for $b$ batches, total sugar is $S$ cups?
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$S=\frac{3}{4}b$. Multiplies the sugar per batch by the number of batches to find total sugar needed.
$S=\frac{3}{4}b$. Multiplies the sugar per batch by the number of batches to find total sugar needed.
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Which equation models: You split $\$60$ equally among $n$ friends; each friend gets $x$ dollars?
Which equation models: You split $\$60$ equally among $n$ friends; each friend gets $x$ dollars?
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$x=\frac{60}{n}$. Divides the total money by the number of friends to find each person's share.
$x=\frac{60}{n}$. Divides the total money by the number of friends to find each person's share.
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Which equation models: You deposit $\$200$ and then add $$15$ each week for $w$ weeks; total is $T$?
Which equation models: You deposit $\$200$ and then add $$15$ each week for $w$ weeks; total is $T$?
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$T=200+15w$. Adds the weekly additions for w weeks to the initial deposit.
$T=200+15w$. Adds the weekly additions for w weeks to the initial deposit.
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Which equation models: The number of minutes $m$ is $60$ times the number of hours $h$?
Which equation models: The number of minutes $m$ is $60$ times the number of hours $h$?
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$m=60h$. Converts hours to minutes by multiplying by 60.
$m=60h$. Converts hours to minutes by multiplying by 60.
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Which equation models: A car starts with $g$ gallons and uses $0.05$ gallons per mile for $x$ miles; remaining gas is $R$?
Which equation models: A car starts with $g$ gallons and uses $0.05$ gallons per mile for $x$ miles; remaining gas is $R$?
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$R=g-0.05x$. Subtracts the gas consumed at 0.05 gallons per mile from the initial amount.
$R=g-0.05x$. Subtracts the gas consumed at 0.05 gallons per mile from the initial amount.
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Which equation models: The total cost $C$ for $n$ items at $\$8$ each with a $$5$ coupon off the total?
Which equation models: The total cost $C$ for $n$ items at $\$8$ each with a $$5$ coupon off the total?
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$C=8n-5$. Subtracts the coupon value from the total cost of n items at $8 each.
$C=8n-5$. Subtracts the coupon value from the total cost of n items at $8 each.
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Which equation models: The number $y$ is $5$ more than one-third of $x$?
Which equation models: The number $y$ is $5$ more than one-third of $x$?
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$y=\frac{1}{3}x+5$. Adds 5 to one-third of x to obtain y.
$y=\frac{1}{3}x+5$. Adds 5 to one-third of x to obtain y.
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Which equation models: A rectangle has width $w$ and length $w+6$; its area is $84$ square units?
Which equation models: A rectangle has width $w$ and length $w+6$; its area is $84$ square units?
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$w(w+6)=84$. Sets the product of width and length (width plus 6) equal to the given area.
$w(w+6)=84$. Sets the product of width and length (width plus 6) equal to the given area.
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Which equation models: The sum of angles in a triangle is $180^\circ$; if angles are $x$, $x$, and $y$, what equation relates them?
Which equation models: The sum of angles in a triangle is $180^\circ$; if angles are $x$, $x$, and $y$, what equation relates them?
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$2x+y=180$. Sums twice one angle and the other angle to equal the total interior angles of a triangle.
$2x+y=180$. Sums twice one angle and the other angle to equal the total interior angles of a triangle.
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Which equation models: A line has slope $3$ and $y$-intercept $-2$; what is its equation in slope-intercept form?
Which equation models: A line has slope $3$ and $y$-intercept $-2$; what is its equation in slope-intercept form?
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$y=3x-2$. Applies the slope-intercept form $y=mx+b$ with slope 3 and y-intercept -2.
$y=3x-2$. Applies the slope-intercept form $y=mx+b$ with slope 3 and y-intercept -2.
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Which equation models: A taxi charges a $\$4$ fee plus $$2$ per mile for $m$ miles, total cost $C$?
Which equation models: A taxi charges a $\$4$ fee plus $$2$ per mile for $m$ miles, total cost $C$?
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$C=4+2m$. Represents the total cost as the fixed fee plus the per-mile charge times the number of miles.
$C=4+2m$. Represents the total cost as the fixed fee plus the per-mile charge times the number of miles.
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Which equation models: The perimeter $P$ of a rectangle with length $l$ and width $w$?
Which equation models: The perimeter $P$ of a rectangle with length $l$ and width $w$?
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$P=2l+2w$. Computes the perimeter by adding twice the length and twice the width.
$P=2l+2w$. Computes the perimeter by adding twice the length and twice the width.
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Which equation models: You have $\$50$ and spend $$x$; remaining money is $R$?
Which equation models: You have $\$50$ and spend $$x$; remaining money is $R$?
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$R=50-x$. Calculates the remaining money by subtracting the amount spent from the initial $50.
$R=50-x$. Calculates the remaining money by subtracting the amount spent from the initial $50.
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