Situations to Expressions - ISEE Middle Level: Quantitative Reasoning

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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