It looks like you've uploaded an image of a worksheet titled
"Evaluate Expressions Sheet 1", which contains a list of 25 algebraic expressions to evaluate using the given values:
x = 3, y = 5, z = 2, and k = 4.
Since I can't view images directly, I’ll help you solve this step-by-step based on the text you provided.
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🔢 Given Values:
- $ x = 3 $
- $ y = 5 $
- $ z = 2 $
- $ k = 4 $
Now let’s go through each expression one by one and substitute the values accordingly.
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✔ Step-by-Step Solutions:
1.
$ x + y $
$ 3 + 5 = 8 $
2.
$ 2x + 3y $
$ 2(3) + 3(5) = 6 + 15 = 21 $
3.
$ 2xy $
$ 2 \cdot 3 \cdot 5 = 30 $
4.
$ xy + z $
$ (3)(5) + 2 = 15 + 2 = 17 $
5.
$ 3x + 2z $
$ 3(3) + 2(2) = 9 + 4 = 13 $
6.
$ 2k - x $
$ 2(4) - 3 = 8 - 3 = 5 $
7.
$ 3k + 2x $
$ 3(4) + 2(3) = 12 + 6 = 18 $
8.
$ 2x^2 $
$ 2(3)^2 = 2(9) = 18 $
9.
$ 2x^2 + 3y $
$ 2(9) + 3(5) = 18 + 15 = 33 $
10.
$ 3x^2 + 2y $
$ 3(9) + 2(5) = 27 + 10 = 37 $
11.
$ x^2 + y^2 $
$ 3^2 + 5^2 = 9 + 25 = 34 $
12.
$ x^2 + y^2 + z^2 $
$ 9 + 25 + 4 = 38 $
13.
$ 2x^2 + 3y^2 $
$ 2(9) + 3(25) = 18 + 75 = 93 $
14.
$ x^2 + y^2 + k^2 $
$ 9 + 25 + 16 = 50 $
15.
$ 2x + 3y - z $
$ 2(3) + 3(5) - 2 = 6 + 15 - 2 = 19 $
16.
$ x + y + z + k $
$ 3 + 5 + 2 + 4 = 14 $
17.
$ 2x + 3y + 4z $
$ 2(3) + 3(5) + 4(2) = 6 + 15 + 8 = 29 $
18.
$ 3x + 2y + k $
$ 3(3) + 2(5) + 4 = 9 + 10 + 4 = 23 $
19.
$ x^2 + y^2 + k^2 $
$ 9 + 25 + 16 = 50 $
20.
$ 2x^2 + 3y^2 + k^2 $
$ 2(9) + 3(25) + 16 = 18 + 75 + 16 = 109 $
21.
$ 3x + 2y + z $
$ 3(3) + 2(5) + 2 = 9 + 10 + 2 = 21 $
22.
$ 4x + 3y + 2z $
$ 4(3) + 3(5) + 2(2) = 12 + 15 + 4 = 31 $
23.
$ x^2 + y^2 + z^2 $
$ 9 + 25 + 4 = 38 $
24.
$ x^2 + y^2 + z^2 + k^2 $
$ 9 + 25 + 4 + 16 = 54 $
25.
$ 2x^2 + 3y^2 + 4z^2 $
$ 2(9) + 3(25) + 4(4) = 18 + 75 + 16 = 109 $
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1 | 8 |
| 2 | 21 |
| 3 | 30 |
| 4 | 17 |
| 5 | 13 |
| 6 | 5 |
| 7 | 18 |
| 8 | 18 |
| 9 | 33 |
| 10 | 37 |
| 11 | 34 |
| 12 | 38 |
| 13 | 93 |
| 14 | 50 |
| 15 | 19 |
| 16 | 14 |
| 17 | 29 |
| 18 | 23 |
| 19 | 50 |
| 20 | 109 |
| 21 | 21 |
| 22 | 31 |
| 23 | 38 |
| 24 | 54 |
| 25 | 109 |
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📝 Notes:
- Always remember order of operations:
PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).
- Be careful with exponents — e.g., $ x^2 $ means $ x \times x $, not $ 2x $.
- Double-check substitutions for variables.
Let me know if you'd like this in printable format or need help with a specific problem!
Parent Tip: Review the logic above to help your child master the concept of basic equation worksheet.
