ISEE Lower Level Quantitative Reasoning Flashcards: Words To Equations

What this deck covers

This deck focuses on Words To Equations, 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 equation represents “the quotient of a number $x$ and $5$”?

Answer: $\frac{x}{5}$. Dividing x by 5 represents the quotient with x as the dividend.

Flashcard 2: What equation represents “$4$ fewer than twice $n$ is $12$”?

Answer: $2n-4=12$. Doubling n, subtracting 4, and equating to 12 captures the described operation.

Flashcard 3: What equation represents “$4$ fewer than $n$ is $12$”?

Answer: $n-4=12$. Subtracting 4 from n and setting it equal to 12 models the relationship.

Flashcard 4: What equation represents “$y$ is less than $10$”?

Answer: $y<10$. The strict inequality $y < 10$ denotes y is below 10 without equality.

Flashcard 5: What equation represents “$y$ is greater than $10$”?

Answer: $y>10$. The strict inequality $y > 10$ denotes y exceeds 10 without equality.

Flashcard 6: What equation represents “$y$ is no more than $10$”?

Answer: $y\le 10$. The inequality $y \le 10$ indicates y is 10 or any value smaller.

Flashcard 7: What equation represents “$y$ is at least $10$”?

Answer: $y\ge 10$. The inequality $y \ge 10$ indicates y is 10 or any value greater.

Flashcard 8: What equation represents “a number $x$ is $3$ more than $8$”?

Answer: $x=8+3$. Setting x equal to 8 plus 3 defines x as 3 more than 8.

Flashcard 9: What equation represents “$8$ is $3$ more than a number $x$”?

Answer: $8=x+3$. Setting 8 equal to x plus 3 equates 8 to being 3 more than x.

Flashcard 10: What equation represents “one-half of a number $x$”?

Answer: $\frac{1}{2}x$. Multiplying x by $\frac{1}{2}$ calculates half of the number x.

Flashcard 11: What equation represents “the quotient of $5$ and a number $x$”?

Answer: $\frac{5}{x}$. Dividing 5 by x represents the quotient with 5 as the dividend.

Flashcard 12: What equation represents “the product of $6$ and a number $x$”?

Answer: $6x$. Multiplying 6 by x expresses the product of the two values.

Flashcard 13: What equation represents “the difference of $9$ and $x$”?

Answer: $9-x$. Subtracting x from 9 denotes the difference where 9 is the minuend.

Flashcard 14: What equation represents “the difference of $x$ and $9$”?

Answer: $x-9$. Subtracting 9 from x denotes the difference where x is the minuend.

Flashcard 15: What equation represents “the sum of $3x$ and $4$”?

Answer: $3x+4$. Adding 4 to the product of 3 and x directly represents their sum.

Flashcard 16: What equation represents “$3$ times the sum of $x$ and $4$”?

Answer: $3(x+4)$. Parentheses ensure the sum of x and 4 is calculated before multiplying by 3.

Flashcard 17: What equation represents “$7$ less than a number $x$”?

Answer: $x-7$. Subtracting 7 from x expresses a value that is 7 smaller than the number x.

Flashcard 18: What equation represents “$5$ more than a number $x$”?

Answer: $x+5$. Adding 5 to x represents a value that is 5 greater than the number x.

Flashcard 19: What equation represents “twice a number $x$, increased by $7$”?

Answer: $2x+7$. Multiplying x by 2 and adding 7 represents increasing twice the number by 7.

Flashcard 20: What equation represents “$7$ less than twice a number $x$”?

Answer: $2x-7$. Multiplying x by 2 and then subtracting 7 captures 7 less than twice the number.

Flashcard 21: What equation represents “$x$ is proportional to $y$ with constant $k$”?

Answer: $x=ky$. Setting x equal to k times y models direct proportionality with constant k.

Flashcard 22: What equation represents “the ratio of $x$ to $4$ is $9$”?

Answer: $\frac{x}{4}=9$. Dividing x by 4 and setting equal to 9 expresses the ratio equaling 9.

Flashcard 23: What equation represents “$3$ times a number $x$ is $21$”?

Answer: $3x=21$. Multiplying x by 3 and setting equal to 21 equates the product to 21.

Flashcard 24: What equation represents “the sum of a number $x$ and $5$ is $17$”?

Answer: $x+5=17$. Adding x and 5, then setting equal to 17, represents their sum equaling 17.

Flashcard 25: What equation represents “$4$ fewer than the quantity $2n$ is $12$”?

Answer: $2n-4=12$. Treating 2n as a quantity and subtracting 4, set equal to 12, fits the phrasing.