SSAT Upper Level Quantitative Flashcards: Order Of Operations

What this deck covers

This deck focuses on Order Of Operations, 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 value of $\left(2^3\right)^2$ using order of operations?

Answer: $64$. Parentheses first: $2^3 = 8$, then raise to the power of 2.

Flashcard 2: What is the value of $2\left(3 + 5\right) - 4$ using order of operations?

Answer: $12$. Parentheses first: $3 + 5 = 8$, multiply by 2 to get 16, then subtract 4.

Flashcard 3: What is the value of $(6 + 2) \times 5$ using order of operations?

Answer: $40$. Parentheses first: $6 + 2 = 8$, then multiply by 5.

Flashcard 4: What is the value of $4 - \{2 + [3 - (1)]\}$ using order of operations?

Answer: $0$. Evaluate innermost first: (1), then [3-1]=2, {2+2}=4, subtract from 4.

Flashcard 5: What is the value of $18 \div 3 \times 2$ using left-to-right for $\div$ and $\times$?

Answer: $12$. Division and multiplication from left to right: $18 \div 3 = 6$, then $6 \times 2$.

Flashcard 6: What is the value of $2^{3^2}$ using order of operations?

Answer: $512$. Exponents are evaluated from right to left: $3^2=9$, then $2^9=512$.

Flashcard 7: What is the value of $6 + 2 \times 5$ using order of operations?

Answer: $16$. Multiplication first: $2 \times 5 = 10$, then add 6.

Flashcard 8: What is the value of $(-3)^2$ using order of operations?

Answer: $9$. Parentheses include the negative: $-3$ squared is 9.

Flashcard 9: What is the value of $7 + 2\left[5 - 3(1)\right]$ using order of operations?

Answer: $11$. Innermost parentheses: $3(1)=3$, subtract from 5 to get 2, multiply by 2, add to 7.

Flashcard 10: What is the value of $5 - \left(\frac{3}{4} \times 8\right)$ using order of operations?

Answer: $-1$. Parentheses first: $\frac{3}{4} \times 8 = 6$, then subtract from 5.

Flashcard 11: What is the value of $\frac{18}{3} \times 2$ using order of operations?

Answer: $12$. Division and multiplication left to right: $\frac{18}{3} = 6$, then multiply by 2.

Flashcard 12: What is the value of $3^2 + 4 \times 2$ using order of operations?

Answer: $17$. Exponent first: $3^2=9$, then multiply $4 \times 2=8$, add them.

Flashcard 13: What is the correct order of operations for evaluating $6 + 2 \times 5$?

Answer: Multiply first, then add. Follow PEMDAS: perform multiplication before addition.

Flashcard 14: What is the value of $12 - 3\left(2 + 1\right)$ using order of operations?

Answer: $3$. Parentheses first: $2 + 1 = 3$, multiply by 3 to get 9, subtract from 12.

Flashcard 15: What is the value of $\frac{1}{2} \times 8 + 3$ using order of operations?

Answer: $7$. Multiplication before addition: $\frac{1}{2} \times 8 = 4$, then add 3.

Flashcard 16: What is the value of $\left(\frac{3}{5} + \frac{2}{5}\right) \times 10$ using order of operations?

Answer: $10$. Parentheses first: $\frac{3}{5} + \frac{2}{5} = 1$, then multiply by 10.

Flashcard 17: What is the value of $18 \div (3 \times 2)$ using order of operations?

Answer: $3$. Parentheses first: $3 \times 2 = 6$, then divide 18 by 6.

Flashcard 18: What is evaluated first in $3^2 + 4 \times 2$ according to order of operations?

Answer: The exponent $3^2$. Exponents are evaluated before multiplication and addition.

Flashcard 19: What is the value of $\frac{18}{3 \times 2}$ using order of operations?

Answer: $3$. Multiplication in denominator first: $3 \times 2 = 6$, then $18 \div 6$.

Flashcard 20: What is the value of $2\left(3 + 5\right)^2$ using order of operations?

Answer: $128$. Parentheses first: $3 + 5 = 8$, square to 64, then multiply by 2.

Flashcard 21: What is the value of $9 - \left[6 - \left(2^2\right)\right]$ using order of operations?

Answer: $7$. Innermost exponent: $2^2=4$, subtract from 6 to get 2, then subtract from 9.

Flashcard 22: What is the value of $20 - 6 + 3$ using left-to-right for $+$ and $-$?

Answer: $17$. Subtraction and addition from left to right: $20 - 6 = 14$, then add 3.

Flashcard 23: What is the value of $-3^2$ using order of operations (no parentheses)?

Answer: $-9$. Exponent first: $3^2 = 9$, then apply the negative sign.

Flashcard 24: What is the value of $24 \div 6 + 2 \times 3$ using order of operations?

Answer: $10$. Division and multiplication first: $24 \div 6 = 4$ and $2 \times 3 = 6$, then add.

Flashcard 25: What is the value of $| -7 + 2 \times 3 |$ using order of operations?

Answer: $1$. Multiplication first: $2 \times 3 = 6$, add to -7 to get -1, then absolute value.