SSAT Upper Level Quantitative Flashcards: Word Problems To Expressions

What this deck covers

This deck focuses on Word Problems To Expressions, giving you a quick way to review the definitions, rules, and examples that matter most for SSAT Upper Level Quantitative.

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 is the algebraic expression for "$15$ percent of a number $x$"?

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

Flashcard 2: What is the algebraic expression for "$6$ more than the square of a number $x$"?

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

Flashcard 3: What is the algebraic expression for "$5$ divided by a number $x$"?

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

Flashcard 4: What is the algebraic expression for "$x$ is no more than $10$"?

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

Flashcard 5: What is the algebraic expression for "the sum of twice $x$ and $3$"?

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

Flashcard 6: What is the algebraic expression for "a number $x$ decreased by $9$"?

Answer: $x-9$. Decreasing x by 9 requires subtracting 9 from x.

Flashcard 7: What is the algebraic expression for "$9$ less than a number $x$"?

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

Flashcard 8: What is the algebraic expression for "the square of the sum of $x$ and $2$"?

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

Flashcard 9: What is the algebraic expression for "a number $x$ divided by $5$"?

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

Flashcard 10: What is the algebraic expression for "the sum of the squares of $x$ and $2$"?

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

Flashcard 11: What is the algebraic expression for "$5$ less than three times a number $x$"?

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

Flashcard 12: What is the algebraic expression for "$x$ increased by $20\%$"?

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

Flashcard 13: What is the algebraic expression for "the sum of a number $x$ and $7$"?

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

Flashcard 14: What is the algebraic expression for "three times the difference of $x$ and $5$"?

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

Flashcard 15: What is the algebraic expression for "$x$ decreased by $20\%$"?

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

Flashcard 16: What is the algebraic expression for "the product of $x$ and $y$"?

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

Flashcard 17: What is the algebraic expression for "$6$ more than a number $x$ squared"?

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

Flashcard 18: What is the algebraic expression for "one-half of a number $x$"?

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

Flashcard 19: What is the algebraic expression for "the quotient of $x$ and $y$"?

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

Flashcard 20: What is the algebraic expression for "$4$ times a number $x$"?

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

Flashcard 21: What is the algebraic expression for "the average of $x$ and $y$"?

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

Flashcard 22: What is the algebraic expression for "$3$ more than twice a number $x$"?

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

Flashcard 23: What is the algebraic expression for "$x$ is at least $10$"?

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

Flashcard 24: What is the algebraic expression for "$9$ decreased by a number $x$"?

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

Flashcard 25: What is the algebraic expression for "twice the sum of $x$ and $3$"?

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