Evaluating Expressions - SSAT Middle Level Quantitative

1. What is the value of $x^2 + y^2$ when $x = 3$ and $y = 4$?

   $25$. Substitute $x=3$ and $y=4$ into $x^2 + y^2$, square each, then sum the results.

2. What is the value of $\frac{2x + 6}{4}$ when $x = 2$?

   $\frac{5}{2}$. Substitute $x=2$ into $\frac{2x + 6}{4}$, simplify the numerator, then divide by 4.

3. What is the value of $\frac{1}{2}bh$ when $b = 8$ and $h = 5$?

   $20$. Substitute $b=8$ and $h=5$ into $\frac{1}{2}bh$, multiply base and height, then halve the product.

4. What is the value of $\frac{3}{5}p$ when $p = 10$?

   $6$. Substitute $p=10$ into $\frac{3}{5}p$ and multiply the fraction by the value.

5. What is the value of $4 - (2n - 1)$ when $n = 5$?

   $-5$. Substitute $n=5$ into $4 - (2n - 1)$, evaluate the parentheses, then subtract from 4.

6. What is the value of $7 - 2y$ when $y = 6$?

   $-5$. Substitute $y=6$ into $7 - 2y$ and simplify by multiplying then subtracting.

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

   $13$. Substitute $x=5$ into $3(x - 2) + 4$, simplify parentheses, multiply, then add 4.

8. What is the value of $(x - 1)(x + 1)$ when $x = 6$?

   $35$. Substitute $x=6$ into $(x - 1)(x + 1)$ and multiply the resulting binomials.

9. What is the value of $x^3$ when $x = -3$?

   $-27$. Substitute $x=-3$ into $x^3$ and cube the negative value, preserving the sign.

10. What is the value of $\frac{x}{4}$ when $x = 20$?

    $5$. Substitute $x=20$ into $\frac{x}{4}$ and divide to simplify.

11. What is the value of $x - y$ when $x = -1$ and $y = -6$?

    $5$. Substitute $x=-1$ and $y=-6$ into $x - y$, subtracting a negative becomes addition.

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

    $17$. Substitute $x=4$ into the expression $3x + 5$ and simplify by multiplying then adding.

13. What is the value of $\frac{4x}{y}$ when $x = 6$ and $y = 3$?

    $8$. Substitute $x=6$ and $y=3$ into $\frac{4x}{y}$, multiply numerator, then divide by y.

14. What is the value of $2(m + 3)$ when $m = -1$?

    $4$. Substitute $m=-1$ into $2(m + 3)$ and simplify inside the parentheses first.

15. What is the value of $2a + 3b$ when $a = 4$ and $b = -2$?

    $2$. Substitute $a=4$ and $b=-2$ into $2a + 3b$, multiply each term, then add.

16. What is the value of $10^2 - x$ when $x = 17$?

    $83$. Substitute $x=17$ into $10^2 - x$, compute the square, then subtract x.

17. What is the value of $\frac{x - 2}{x + 2}$ when $x = 6$?

    $\frac{1}{2}$. Substitute $x=6$ into $\frac{x - 2}{x + 2}$, simplify numerator and denominator, then divide.

18. What is the value of $|2t|$ when $t = -9$?

    $18$. Substitute $t=-9$ into $|2t|$, multiply, then apply the absolute value to make it positive.

19. What is the value of $(2x)(3x)$ when $x = 4$?

    $96$. Substitute $x=4$ into $(2x)(3x)$, multiply each by x, then find the product.

20. What is the value of $5a^2$ when $a = 3$?

    $45$. Substitute $a=3$ into $5a^2$, square the value, then multiply by 5.

21. What is the value of $2x^2 + x$ when $x = -2$?

    $6$. Substitute $x=-2$ into $2x^2 + x$, square first, multiply by 2, then add x.

22. What is the value of $3 - 2(4 - x)$ when $x = 1$?

    $-3$. Substitute $x=1$ into $3 - 2(4 - x)$, simplify inside parentheses, multiply by 2, then subtract from 3.

23. What is the value of $x^2 - 9$ when $x = -4$?

    $7$. Substitute $x=-4$ into $x^2 - 9$, square the negative value, then subtract 9.

24. What is the value of $|x - 7|$ when $x = 3$?

    $4$. Substitute $x=3$ into $|x - 7|$ and take the absolute value of the difference.

25. What is the value of $2(3 - x)^2$ when $x = 5$?

    $8$. Substitute $x=5$ into $2(3 - x)^2$, simplify parentheses, square, then multiply by 2.

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