ISEE Middle Level Mathematics Achievement 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 ISEE Middle Level Mathematics Achievement.

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 $\frac{1}{2} \times 8 + 3$?

Answer: $7$. Multiplication is performed before addition, so multiply $\frac{1}{2}$ by 8 first, then add 3.

Flashcard 2: What is the value of $2^3 + 5$?

Answer: $13$. Exponents are evaluated before addition, so compute $2^3$ first, then add 5.

Flashcard 3: What is the value of $7 + 2(4 - 1)$?

Answer: $13$. Evaluate parentheses first, then implied multiplication by 2, and finally add to 7.

Flashcard 4: What is the value of $30 \div 5 \div 2$?

Answer: $3$. Divisions are performed left to right, so divide 30 by 5 first, then divide the result by 2.

Flashcard 5: What is the value of $12 - 3(2 + 1)$?

Answer: $3$. Evaluate parentheses first, then multiplication by 3, and finally subtract from 12.

Flashcard 6: What is the value of $(-3)^2$?

Answer: $9$. The parentheses include the negative sign, so square -3 directly.

Flashcard 7: What does the order of operations require you to do first in $4^2 + 3$?

Answer: Evaluate the exponent: $4^2$. According to the order of operations (PEMDAS), exponents are evaluated before addition.

Flashcard 8: What is the value of $(8 - 3)^2 - 5$?

Answer: $20$. Evaluate parentheses first, then the exponent, and finally subtract 5.

Flashcard 9: What is the value of $2(5 + 1) - 3$?

Answer: $9$. Evaluate parentheses first, then implied multiplication by 2, and finally subtract 3.

Flashcard 10: What is the value of $2 + 3 \times (4 - 2)^2$?

Answer: $14$. Evaluate parentheses first, then the exponent, followed by multiplication, and finally addition.

Flashcard 11: What is the value of $6 - 2^2$?

Answer: $2$. Exponents are evaluated before subtraction, so compute $2^2$ first, then subtract from 6.

Flashcard 12: What is the value of $9 + 6 \div 3 \times 2$?

Answer: $13$. Division and multiplication are performed left to right, so divide 6 by 3, multiply by 2, then add to 9.

Flashcard 13: What is the value of $(3 + 4) \times 2$?

Answer: $14$. Parentheses are evaluated first, so add 3 and 4 before multiplying by 2.

Flashcard 14: What is the value of $18 \div 3 \times 2$?

Answer: $12$. Division and multiplication are performed left to right, so divide 18 by 3 first, then multiply by 2.

Flashcard 15: What operation is performed first in $10 - 6 + 2$?

Answer: Subtraction, because $-$ and $+$ go left to right. Addition and subtraction are performed left to right after multiplication and division.

Flashcard 16: What is the value of $\frac{3}{4} \times 8$?

Answer: $6$. The fraction $\frac{3}{4}$ multiplies directly with 8, as there are no other operations requiring precedence.

Flashcard 17: What is the value of $5^2 - 4^2$?

Answer: $9$. Exponents are evaluated before subtraction, so compute $5^2$ and $4^2$ first, then subtract.

Flashcard 18: What is the value of $3 + 4 \times 2$?

Answer: $11$. Multiplication is performed before addition, so compute $4 \times 2$ first, then add 3.

Flashcard 19: What operation is performed first in $6 \div 2 \times 3$?

Answer: Division, because $\div$ and $\times$ go left to right. Multiplication and division are performed left to right after parentheses and exponents.

Flashcard 20: What is the value of $-3^2$?

Answer: $-9$. Exponents are evaluated before the negative sign, so compute $3^2$ and then apply the unary minus.

Flashcard 21: What is the value of $24 \div 3 + 2$?

Answer: $10$. Division is performed before addition, so divide 24 by 3 first, then add 2.

Flashcard 22: What is the value of $24 \div (3 + 2)$?

Answer: $\frac{24}{5}$. Parentheses are evaluated first, so add 3 and 2 before dividing 24 by the result.

Flashcard 23: What does the order of operations require you to do first in $8 - 3(2 + 1)$?

Answer: Evaluate the parentheses: $(2 + 1)$. According to the order of operations (PEMDAS), parentheses are evaluated before multiplication and subtraction.

Flashcard 24: What is the value of $16 - 4 \times 2^2$?

Answer: $0$. Evaluate the exponent first, then multiplication, and finally subtraction.

Flashcard 25: What is the value of $18 \div (3 \times 2)$?

Answer: $3$. Parentheses are evaluated first, so multiply 3 by 2 before dividing 18 by the result.