Question

evaluate for $a = 5$, $b = 2$, $c = 6$.
e. $8a$
o. $12b$
t. $ab$
v. $4bc$
s. $a + b + c$
i. $50 - c$
w. $7(a + c)$
t. $\frac{c}{b}$

evaluate for $w = 9$, $x = 10$, $y = 3$.
e. $5(x + 2)$
i. $(4w) \div y$
m. $8(x + y)$
s. $\frac{wx}{y}$
h. $\frac{6x}{5y}$
t. $100 - (x + y)$
n. $x \cdot x$
l. $\frac{w + x + y}{2}$

12 10 96 44 30 8 87 77 40 11 48 60 17 104 24 100 3 4 13

Explanation:

Left Section (a=5, b=2, c=6)

Step1: Calculate 8a

Substitute a=5: $8 \times 5 = 40$

Step2: Calculate 12b

Substitute b=2: $12 \times 2 = 24$

Step3: Calculate ab

Substitute a=5, b=2: $5 \times 2 = 10$

Step4: Calculate 4bc

Substitute b=2, c=6: $4 \times 2 \times 6 = 48$

Step5: Calculate a+b+c

Substitute a=5, b=2, c=6: $5 + 2 + 6 = 13$

Step6: Calculate 50−c

Substitute c=6: $50 - 6 = 44$

Step7: Calculate 7(a+c)

Substitute a=5, c=6: $7 \times (5 + 6) = 7 \times 11 = 77$

Step8: Calculate $\frac{c}{b}$

Substitute c=6, b=2: $\frac{6}{2} = 3$

Right Section (w=9, x=10, y=3)

Step9: Calculate 5(x+2)

Substitute x=10: $5 \times (10 + 2) = 5 \times 12 = 60$

Step10: Calculate $(4w) \div y$

Substitute w=9, y=3: $(4 \times 9) \div 3 = 36 \div 3 = 12$

Step11: Calculate 8(x+y)

Substitute x=10, y=3: $8 \times (10 + 3) = 8 \times 13 = 104$

Step12: Calculate $\frac{wx}{y}$

Substitute w=9, x=10, y=3: $\frac{9 \times 10}{3} = \frac{90}{3} = 30$

Step13: Calculate $\frac{6x}{5y}$

Substitute x=10, y=3: $\frac{6 \times 10}{5 \times 3} = \frac{60}{15} = 4$

Step14: Calculate 100−(x+y)

Substitute x=10, y=3: $100 - (10 + 3) = 100 - 13 = 87$

Step15: Calculate $x \cdot x$

Substitute x=10: $10 \times 10 = 100$

Step16: Calculate $\frac{w+x+y}{2}$

Substitute w=9, x=10, y=3: $\frac{9 + 10 + 3}{2} = \frac{22}{2} = 11$

Answer:

Matching each expression to the number bank values:

• E. $8a = 40$
• O. $12b = 24$
• T. $ab = 10$
• V. $4bc = 48$
• S. $a+b+c = 13$
• I. $50-c = 44$
• W. $7(a+c) = 77$
• T. $\frac{c}{b} = 3$
• E. $5(x+2) = 60$
• I. $(4w) \div y = 12$
• M. $8(x+y) = 104$
• S. $\frac{wx}{y} = 30$
• H. $\frac{6x}{5y} = 4$
• T. $100-(x+y) = 87$
• N. $x \cdot x = 100$
• L. $\frac{w+x+y}{2} = 11$

Filled number bank (matching the order of calculations above):
12, 10, 48, 44, 30, 3, 87, 77, 40, 11, 60, 104, 24, 100, 4, 13