Multi-Operation Problems - SSAT Upper Level: Quantitative

Use $\text{PEMDAS}$: parentheses, exponents, multiply/divide, add/subtract. PEMDAS ensures consistent evaluation by prioritizing parentheses, then exponents, followed by multiplication/division left to right, and addition/subtraction left to right.

$103$. Apply PEMDAS: first compute inside parentheses, then exponent, multiply, and finally subtract.

$10$. Perform division and multiplication from left to right before subtraction, per order of operations.

$\frac{5}{4}$. Multiplication precedes addition, so compute fraction multiplication first then add.

$\frac{5}{2}$. Division of fractions involves multiplying by reciprocal, then add the integer.

$2$. Evaluate innermost parentheses first, then work outward subtracting nested brackets.

$32$. Exponents first, then multiplication and division left to right, finally addition.

$19$. Division first, then parentheses, implied multiplication, and addition per PEMDAS.

$18$. Subtract fractions within parentheses first, then multiply by the integer.

$0$. Compute each multiplication separately, then subtract the results.

$-3$. Absolute value yields positive, added to negative cube of integer.

$22$. Substitute variable, compute inside brackets, then multiply by coefficient.

$9$. Substitute value into algebraic fraction and simplify numerator and denominator.

$3$. Multiply variables by fraction after substituting given values.

$2$. Subtract fractions in parentheses, then divide by inverting and multiplying.

$\frac{11}{2}$. Compute inside parentheses, multiply by coefficient, then add.

$-\frac{3}{2}$. Multiplication in parentheses first, then subtract from fraction.

$\frac{5}{36}$. Difference of squares formula applies: $(a+b)(a-b) = a^2 - b^2$ with fractions.

$13$. Substitute variable, distribute negative over parentheses, then combine terms.

$1$. Add fractions in parentheses, then divide by inverting and multiplying.

$7$. Difference of squares plus integer: $(a^2 - b^2) + c$ with decimals.

$5$. Exponent in denominator first, then divide each term and add results.

$3$. Division inside parentheses, square the result, then subtract product.

$\frac{14}{5}$. Add inside parentheses, multiply numerator, divide, then subtract fraction.