ISEE Middle Level Quantitative Reasoning Flashcards: Situations To Expressions

What this deck covers

This deck focuses on Situations To Expressions, giving you a quick way to review the definitions, rules, and examples that matter most for ISEE Middle 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 algebraic expression represents “$7$ more than a number $x$”?

Answer: $x + 7$. Adding 7 to the number x expresses a value that is 7 greater than x.

Flashcard 2: What algebraic expression represents “$7$ less than a number $x$”?

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

Flashcard 3: What algebraic expression represents “$7$ less than twice a number $x$”?

Answer: $2x - 7$. Multiplying x by 2 and then subtracting 7 gives a value 7 less than twice x.

Flashcard 4: What algebraic expression represents “twice a number $x$ decreased by $7$”?

Answer: $2x - 7$. Decreasing twice the number x by 7 is achieved by multiplying x by 2 and subtracting 7.

Flashcard 5: What algebraic expression represents “$7$ subtracted from twice a number $x$”?

Answer: $2x - 7$. Subtracting 7 from twice x means first doubling x and then reducing by 7.

Flashcard 6: What algebraic expression represents “twice the difference of a number $x$ and $7$”?

Answer: $2(x - 7)$. The difference between x and 7 is x - 7, which is then multiplied by 2.

Flashcard 7: What algebraic expression represents “the difference of twice a number $x$ and $7$”?

Answer: $2x - 7$. The difference between twice x and 7 is found by subtracting 7 from 2x.

Flashcard 8: What algebraic expression represents “$3$ times the sum of a number $x$ and $5$”?

Answer: $3(x + 5)$. The sum of x and 5 is x + 5, which is then multiplied by 3.

Flashcard 9: What algebraic expression represents “the sum of $3$ times a number $x$ and $5$”?

Answer: $3x + 5$. Adding 5 to three times x combines the product 3x with 5.

Flashcard 10: What algebraic expression represents “$5$ more than $3$ times a number $x$”?

Answer: $3x + 5$. Increasing three times x by 5 is equivalent to adding 5 to 3x.

Flashcard 11: What algebraic expression represents “$4$ times a number $x$ divided by $3$”?

Answer: $\frac{4x}{3}$. Multiplying x by 4 and dividing by 3 expresses the described operation.

Flashcard 12: What algebraic expression represents “a number $x$ divided by $3$, then increased by $4$”?

Answer: $\frac{x}{3} + 4$. Dividing x by 3 and then adding 4 follows the sequence of operations.

Flashcard 13: What algebraic expression represents “$4$ more than one-third of a number $x$”?

Answer: $\frac{x}{3} + 4$. One-third of x is x/3, and adding 4 increases it by 4.

Flashcard 14: What algebraic expression represents “the quotient of a number $x$ and the sum $y + 2$”?

Answer: $\frac{x}{y + 2}$. Dividing x by the sum of y and 2 forms the quotient.

Flashcard 15: What algebraic expression represents “the quotient of the sum $x + y$ and $2$”?

Answer: $\frac{x + y}{2}$. Dividing the sum of x and y by 2 gives the quotient.

Flashcard 16: What algebraic expression represents “the total cost of $x$ items at \5$each plus a$$2$ fee”?

Answer: $5x + 2$. Multiplying the number of items x by 5 and adding the 2 fee gives the total cost.

Flashcard 17: What algebraic expression represents “$6$ less than the product of $x$ and $y$”?

Answer: $xy - 6$. Subtracting 6 from the product of x and y decreases it by 6.

Flashcard 18: What algebraic expression represents “the product of $x$ and the quantity $y - 6$”?

Answer: $x(y - 6)$. Multiplying x by the difference y - 6 groups the operations correctly.

Flashcard 19: What algebraic expression represents “$5$ is at least a number $x$”?

Answer: $5 \ge x$. The phrase 'at least' indicates greater than or equal to, so 5 is greater than or equal to x.

Flashcard 20: What algebraic expression represents “a number $x$ is at least $5$”?

Answer: $x \ge 5$. The phrase 'at least' means x is greater than or equal to 5.

Flashcard 21: What algebraic expression represents “a number $x$ is no more than $12$”?

Answer: $x \le 12$. The phrase 'no more than' means x is less than or equal to 12.

Flashcard 22: What algebraic expression represents “a number $x$ is less than $12$”?

Answer: $x < 12$. The phrase 'less than' indicates a strict inequality where x is below 12.

Flashcard 23: What algebraic expression represents “$3$ consecutive integers, starting with $n$”?

Answer: $n,\ n + 1,\ n + 2$. Consecutive integers increase by 1 each time, starting from n.

Flashcard 24: What algebraic expression represents “the perimeter of a rectangle with length $l$ and width $w$”?

Answer: $2l + 2w$. The perimeter is the sum of all sides, doubling the length and width.