Multi-Operation Problems - SSAT Middle Level Quantitative

1. What is the value of $\frac{16}{x}+3$ when $x=4$?

   $7$. Substitute $x=4$, divide 16 by 4, then add 3.

2. What is the value of $\left(\frac{2}{3}\right)\times 12-5$?

   $3$. Multiply the fraction by the integer first, then subtract.

3. What is the value of $4x-3+2x$ when $x=5$?

   $27$. Substitute $x=5$, combine like terms to $6x-3$, and calculate.

4. What is the value of $3(8-5)+2^3$?

   $17$. Apply the order of operations: evaluate parentheses first, then exponents, multiplication, and finally addition.

5. What is the value of $6+4\times(9-7)^2$?

   $22$. Evaluate the parentheses and exponent first, then multiply, and finally add.

6. What is the value of $24\div 3\times 2+5$?

   $21$. Perform division and multiplication from left to right before adding.

7. What is the final price in dollars after a $20\%$ discount on $35 and then adding $3 shipping?

   $31$. Calculate 20% of $35$ and subtract from the original price, then add $3$ for shipping.

8. What is $x$ if $2(x-3)+4=18$?

   $10$. Distribute the 2, subtract 4 from both sides, divide by 2, then add 3 to isolate $x$.

9. What is the value of $5^2-3\times 4+\frac{18}{3}$?

   $19$. Evaluate the exponent and division first, then multiply, and perform subtraction and addition left to right.

10. What is the value of $\frac{5}{6}\times 12+\frac{1}{3}$?

    $\frac{31}{3}$. Multiply the fraction by the integer, then add the fraction using a common denominator.

11. What is the value of $2.5\times 4-\frac{3}{2}$?

    $\frac{17}{2}$. Multiply the decimal by 4 first, then subtract the fraction.

12. What is the value of $2(3y-4)-y$ when $y=4$?

    $12$. Substitute $y=4$, evaluate inside the parentheses, multiply by 2, then subtract $y$.

13. What is $p$ if $3p-7=2p+5$?

    $12$. Subtract $2p$ from both sides and add 7 to both sides to isolate $p$.

14. What is the value of $9-\frac{1}{2}(8-2)$?

    $6$. Evaluate the parentheses first, multiply by the fraction, then subtract.

15. What is the value of $\frac{5}{2}x-\frac{3}{2}$ when $x=3$?

    $6$. Substitute $x=3$, multiply by $5/2$, then subtract $3/2$.

16. What is the value of $\frac{2}{5}\times\left(\frac{15}{4}\right)+1$?

    $\frac{5}{2}$. Multiply the fractions and simplify, then add 1.

17. What is the value of $\frac{3}{4}+\frac{1}{8}\times 4$?

    $\frac{5}{4}$. Execute multiplication before addition, converting fractions to a common denominator.

18. What is the total cost in dollars of $3$ items at $4.50 each plus $6\%$ tax?

    $14.31$. Multiply price by quantity for the subtotal, compute 6% tax on the subtotal, and add it.

19. What is the average of $8$, $12$, and $16$, then increased by $5$?

    $17$. Sum the numbers and divide by 3 to find the average, then add 5.

20. What is $y$ if $5-2(y+1)=1$?

    $1$. Distribute the -2, combine constants, isolate the term with $y$, and divide by -2.

21. What is the value of $\frac{7}{10}+\frac{3}{5}\div 3$?

    $\frac{9}{10}$. Perform division as multiplication by the reciprocal first, then add fractions with a common denominator.

22. What is $n$ if $\frac{n}{3}+4=10$?

    $18$. Subtract 4 from both sides, then multiply by 3 to isolate $n$.

23. What is the value of $\left(\frac{x}{2}\right)^2+1$ when $x=6$?

    $10$. Substitute $x=6$, divide by 2, square the result, then add 1.

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