Let’s solve each expression step by step, using
a = 5.
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1. $\frac{4a}{3}$
→ Plug in a = 5: $\frac{4 \times 5}{3} = \frac{20}{3}$
→ That’s about 6.67, but we’ll leave it as a fraction unless told otherwise.
✔ Final value:
$\frac{20}{3}$
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2. $8 + 3a$
→ Plug in a = 5: $8 + 3 \times 5 = 8 + 15 = 23$
✔ Final value:
23
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3. $2a - 3$
→ Plug in a = 5: $2 \times 5 - 3 = 10 - 3 = 7$
✔ Final value:
7
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4. $\frac{a}{3} + 2$
→ Plug in a = 5: $\frac{5}{3} + 2 = \frac{5}{3} + \frac{6}{3} = \frac{11}{3}$
✔ Final value:
$\frac{11}{3}$
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5. $\frac{3a - 4}{2}$
→ Plug in a = 5: $\frac{3 \times 5 - 4}{2} = \frac{15 - 4}{2} = \frac{11}{2}$
✔ Final value:
$\frac{11}{2}$
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6. $\frac{2a + 5}{5}$
→ Plug in a = 5: $\frac{2 \times 5 + 5}{5} = \frac{10 + 5}{5} = \frac{15}{5} = 3$
✔ Final value:
3
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7. $2a^2 - 3$
→ First, square a: $5^2 = 25$
→ Then multiply by 2: $2 \times 25 = 50$
→ Subtract 3: $50 - 3 = 47$
✔ Final value:
47
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8. $a^3 + 5$
→ Cube a: $5^3 = 125$
→ Add 5: $125 + 5 = 130$
✔ Final value:
130
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9. $3a - 5$
→ Plug in a = 5: $3 \times 5 - 5 = 15 - 5 = 10$
✔ Final value:
10
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10. $a^2 - a$
→ Square a: $5^2 = 25$
→ Subtract a: $25 - 5 = 20$
✔ Final value:
20
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Final Answer:
$\frac{20}{3},\ 23,\ 7,\ \frac{11}{3},\ \frac{11}{2},\ 3,\ 47,\ 130,\ 10,\ 20$
Parent Tip: Review the logic above to help your child master the concept of algebra for 6th grade worksheet.
