Order of Operations - ISEE Lower Level: Mathematics Achievement

Parentheses, exponents, multiply/divide left to right, add/subtract left to right. Follows the PEMDAS rule: parentheses first, then exponents, multiplication and division from left to right, and addition and subtraction from left to right.

Do $\times$ and $\div$ in the order they appear, moving left to right. Multiplication and division share precedence and are evaluated in sequence from left to right as they occur in the expression.

Do $+$ and $-$ in the order they appear, moving left to right. Addition and subtraction share precedence and are evaluated in sequence from left to right as they occur in the expression.

$11$. Multiplication precedes addition, so compute $4 \times 2$ first, then add 3.

$14$. Parentheses take priority, so add inside first, then multiply by 2.

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

$3$. Parentheses require multiplying inside first, then dividing 18 by that result.

$13$. Exponents precede multiplication and subtraction: compute $5^2$ first, then $3 \times 4$, and subtract from 25.

$88$. Parentheses prioritize the subtraction after the exponent, then multiply the result by 4.

$20$. Parentheses are evaluated first, followed by the implied multiplication.

$17$. Multiplication precedes addition, so compute $2 \cdot 7$ first, then add 3.

$144$. Parentheses prioritize the division, then square the result.

$10$. Division and multiplication precede addition and are done left to right: $24 \div 6$ and $2 \times 3$, then add the results.

$9$. Parentheses are evaluated first, then division, followed by multiplication left to right.

$3$. Exponents precede addition and subtraction: compute $3^2$ first, then perform 8 minus that plus 4 left to right.

$9$. Multiplication precedes addition: compute $\frac{1}{2} \times 12$ first, then add 3.

$\frac{15}{2}$. Parentheses take priority: add inside first, then multiply by $\frac{1}{2}$.

$12$. Division and multiplication precede addition and are done left to right: $\frac{8}{4} \times 3$, then add to 6.

$24$. Parentheses prioritize the addition after division, then multiply the result by 3.

$2$. Parentheses are evaluated first, then multiplication, followed by subtraction.

$5$. Multiplication precedes addition and subtraction: compute $2 \times 3$ first, then 10 minus that plus 1 left to right.

$8$. Exponents precede division: compute $4^3$ first, then divide by 8.

$12$. Parentheses require evaluating the exponent and subtraction inside first, then multiplying by 4.

$9$. Innermost parentheses first, then brackets as implied multiplication, followed by addition.