ISEE Lower Level Quantitative Reasoning Flashcards: Variables In Context

What this deck covers

This deck focuses on Variables In Context, giving you a quick way to review the definitions, rules, and examples that matter most for ISEE Lower Level Quantitative Reasoning.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: What expression represents the area of a rectangle with length $L$ and width $W$?

Answer: $LW$. Multiplying length by width calculates the area enclosed by the rectangle.

Flashcard 2: What expression represents “$5$ fewer than triple a number $t$”?

Answer: $3t - 5$. Multiplying t by 3 and subtracting 5 expresses a value 5 less than three times t.

Flashcard 3: What expression represents “triple the number of seats $s$, then add $5$”?

Answer: $3s + 5$. Multiplying s by 3 and adding 5 combines tripling the seats with an additional 5.

Flashcard 4: What expression represents the perimeter of a rectangle with length $L$ and width $W$?

Answer: $2L + 2W$. Adding twice the length and twice the width gives the total perimeter of the rectangle.

Flashcard 5: What expression represents the total cost for $n$ items at \4$each plus a$$3$ fee?

Answer: $4n + 3$. Multiplying n by 4 and adding 3 accounts for the cost per item plus the fixed fee.

Flashcard 6: What expression represents the total cost for $n$ items at \4$each after a$$3$ discount?

Answer: $4n - 3$. Multiplying n by 4 and subtracting 3 reflects the item costs reduced by the discount.

Flashcard 7: What expression represents your distance after traveling $t$ hours at $60$ miles per hour?

Answer: $60t$. Multiplying time t by the constant speed of 60 yields the total distance traveled.

Flashcard 8: What expression represents the average of two numbers $a$ and $b$?

Answer: $\frac{a + b}{2}$. Summing a and b then dividing by 2 computes the mean value between them.

Flashcard 9: What expression represents the number of minutes in $h$ hours?

Answer: $60h$. Multiplying hours h by 60 converts the time to minutes using the fixed rate per hour.

Flashcard 10: What expression represents the number of cents in $d$ dollars?

Answer: $100d$. Multiplying dollars d by 100 converts the amount to cents using the standard conversion rate.

Flashcard 11: What equation represents: “A number $x$ increased by $9$ equals $20$”?

Answer: $x + 9 = 20$. Setting x plus 9 equal to 20 models the situation where adding 9 to x results in 20.

Flashcard 12: What equation represents: “Three times a number $y$ minus $4$ is $11$”?

Answer: $3y - 4 = 11$. Setting 3y minus 4 equal to 11 models three times y reduced by 4 equaling 11.

Flashcard 13: What expression represents “$m$ divided by $4$”?

Answer: $\frac{m}{4}$. Dividing m by 4 represents splitting m into four equal parts.

Flashcard 14: What does the expression $x + 5$ represent if $x$ is a number of stickers and $5$ more are added?

Answer: The total number of stickers after adding $5$. Adding 5 to the variable x, which represents the initial number of stickers, gives the total after the addition.

Flashcard 15: What expression represents “$7$ less than a number $n$”?

Answer: $n - 7$. Subtracting 7 from n expresses a value that is 7 less than the original number.

Flashcard 16: What expression represents “$7$ less than twice a number $n$”?

Answer: $2n - 7$. Multiplying n by 2 and then subtracting 7 captures twice the number reduced by 7.

Flashcard 17: What expression represents “twice the sum of a number $x$ and $3$”?

Answer: $2(x + 3)$. Multiplying the sum of x and 3 by 2 represents twice that combined quantity.

Flashcard 18: What expression represents “the sum of twice a number $x$ and $3$”?

Answer: $2x + 3$. Adding 3 to twice x represents the sum of those terms.

Flashcard 19: What expression represents “$3$ more than half of a number $y$”?

Answer: $\frac{y}{2} + 3$. Dividing y by 2 and adding 3 expresses a value 3 greater than half of y.

Flashcard 20: What expression represents “half of the quantity $y$ plus $3$”?

Answer: $\frac{y + 3}{2}$. Dividing the sum of y and 3 by 2 represents half of that total quantity.

Flashcard 21: What expression represents “the product of $9$ and a number $k$ decreased by $4$”?

Answer: $9k - 4$. Multiplying k by 9 and subtracting 4 decreases the product by 4.

Flashcard 22: What expression represents “$4$ times as many as $m$”?

Answer: $4m$. Multiplying m by 4 expresses a quantity four times larger than m.

Flashcard 23: What expression represents “$4$ divided by $m$”?

Answer: $\frac{4}{m}$. Dividing 4 by m represents the quotient when 4 is divided by the variable m.

Flashcard 24: What expression represents “the difference between a number $p$ and $12$”?

Answer: $p - 12$. Subtracting 12 from p calculates the difference by removing 12 from the larger value p.

Flashcard 25: What expression represents “the difference between $12$ and a number $p$”?

Answer: $12 - p$. Subtracting p from 12 calculates the difference by removing p from the fixed value 12.