Word Problems to Expressions - SSAT Upper Level: Quantitative

$x-9$. '9 less than x' means subtracting 9 from x.

$x+7$. The sum indicates addition of the number x and 7.

$4x$. Multiplying 4 by x represents 4 times the number.

$9-x$. Decreasing 9 by x means subtracting x from 9, reversing the order.

$3(x-5)$. Three times the difference means subtracting 5 from x first, then multiplying by 3.

$(x+2)^2$. Squaring the sum requires adding x and 2 before raising to the power of 2.

$x^2+2^2$. Summing the squares means squaring x and 2 separately before adding.

$x^2+6$. Adding 6 to the square of x expresses '6 more than x squared'.

$x^2+6$. Adding 6 to x squared captures the increase after squaring.

$\frac{1}{2}x$. One-half of x is equivalent to multiplying x by $\frac{1}{2}$.

$\frac{x+y}{2}$. The average is the sum of x and y divided by 2.

$0.15x$. 15 percent means multiplying x by 0.15 to find the portion.

$1.2x$. Increasing by 20% means multiplying by 1.2 to include the original plus the increase.

$0.8x$. Decreasing by 20% means multiplying by 0.8 to retain 80% of the original.

$x\ge 10$. 'At least 10' indicates x is greater than or equal to 10.

$2(x+3)$. Twice the sum requires adding x and 3 first, then multiplying by 2.

$x\le 10$. 'No more than 10' means x is less than or equal to 10.

$\frac{x}{y}$. The quotient means dividing x by y.

$\frac{5}{x}$. Dividing 5 by x gives the result of 5 split by x.

$\frac{x}{5}$. Dividing x by 5 expresses x split into 5 equal parts.

$xy$. The product is found by multiplying x and y.

$2x+3$. Summing twice x and 3 means multiplying x by 2 before adding 3.

$3x-5$. Subtracting 5 from three times x represents '5 less than three times x'.

$2x+3$. Adding 3 to twice x captures '3 more than twice x'.