You’ve uploaded a worksheet titled
“Understanding Algebra” designed for early learners (likely grades 1–3) to practice basic algebraic substitution — replacing the variable “a” with a given number and computing simple expressions.
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✔ Goal:
For each problem, you are given a value for `a`, and you must compute the result of an expression like `2a + 1`, which means “2 times a, plus 1”.
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📝 Step-by-step Solution:
We’ll go through all 18 problems. Remember:
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“2a” means 2 × a, so if a = 5, then 2a = 2 × 5 = 10.
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#### 🔢 Problems 1–3:
1.
If a = 5, what is 2a + 3?
→ 2×5 + 3 = 10 + 3 =
13
2.
If a = 8, what is 4a + 1?
→ 4×8 + 1 = 32 + 1 =
33
3.
If a = 10, what is 8a + 1?
→ 8×10 + 1 = 80 + 1 =
81
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#### 🔢 Problems 4–6:
4.
If a = 5, what is 10a + 3?
→ 10×5 + 3 = 50 + 3 =
53
5.
If a = 3, what is 8a + 2?
→ 8×3 + 2 = 24 + 2 =
26
6.
If a = 6, what is 7a + 2?
→ 7×6 + 2 = 42 + 2 =
44
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#### 🔢 Problems 7–9:
7.
If a = 5, what is 10a + 3?
→ Same as #4 →
53
8.
If a = 6, what is 4a + 3?
→ 4×6 + 3 = 24 + 3 =
27
9.
If a = 2, what is 5a + 2?
→ 5×2 + 2 = 10 + 2 =
12
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#### 🔢 Problems 10–12:
10.
If a = 10, what is 7a + 2?
→ 7×10 + 2 = 70 + 2 =
72
11.
If a = 5, what is 8a + 3?
→ 8×5 + 3 = 40 + 3 =
43
12.
If a = 4, what is 3a + 2?
→ 3×4 + 2 = 12 + 2 =
14
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#### 🔢 Problems 13–15:
13.
If a = 9, what is 10a + 2?
→ 10×9 + 2 = 90 + 2 =
92
14.
If a = 6, what is 2a + 3?
→ 2×6 + 3 = 12 + 3 =
15
15.
If a = 5, what is 8a + 2?
→ 8×5 + 2 = 40 + 2 =
42
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#### 🔢 Problems 16–18:
16.
If a = 8, what is 8a + 1?
→ 8×8 + 1 = 64 + 1 =
65
17.
If a = 9, what is 7a + 1?
→ 7×9 + 1 = 63 + 1 =
64
18.
If a = 6, what is 8a + 2?
→ 8×6 + 2 = 48 + 2 =
50
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✔ Final Answer Key (for easy checking):
| Problem | Answer |
|---------|--------|
| 1 | 13 |
| 2 | 33 |
| 3 | 81 |
| 4 | 53 |
| 5 | 26 |
| 6 | 44 |
| 7 | 53 |
| 8 | 27 |
| 9 | 12 |
| 10 | 72 |
| 11 | 43 |
| 12 | 14 |
| 13 | 92 |
| 14 | 15 |
| 15 | 42 |
| 16 | 65 |
| 17 | 64 |
| 18 | 50 |
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💡 Teaching Tip:
This worksheet introduces the concept of
variables in a very concrete way. Students learn that “a” can stand for different numbers, and they substitute that number into expressions. This builds foundational skills for solving equations later on.
You can print this answer key or write the answers directly into the boxes on the worksheet!
Let me know if you’d like a printable version or want to turn this into a game! 🎯
Parent Tip: Review the logic above to help your child master the concept of year 6 math worksheet.
