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Evaluating Algebraic Expressions
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Evaluating Algebraic Expressions
Replace each variable with its given value. Follow the order of operations, and show your steps when asked.
Substitute and evaluate
1.Find the value of 4x + 6 when x = 3. Show the substitution and calculation.
2.Evaluate 7y − 8 for y = 5.
3.What is the value of 3a + 9 when a = 4?
- 12
- 18
- 21
- 36
4.Evaluate 5m − 4 when m = 6.
- 14
- 26
- 30
- 34
5.Find the value of 2b + 3 when b = 8. Write one line of work.
6.Evaluate 9c − 7 for c = 3.
Use the order of operations
7.Calculate 6n + 5 when n = 7. Show the multiplication before adding.
8.Find the value of 8p − 9 when p = 5.
9.Evaluate 2r + 3s when r = 6 and s = 4.
10.Evaluate 4x + 2y − 3 when x = 5 and y = 7.
Match each expression to its value
Evaluate each expression using the value beside it, then match it to the correct result.
11.Match each expression and substitution to its evaluated value.
- 3k + 2, when k = 4
- 6q − 5, when q = 3
- 2t + 7, when t = 5
- 4w − 6, when w = 6
- 5v + 1, when v = 2
- 13
- 11
- 18
- 14
- 17
Check your understanding
12.When evaluating 3x + 8 for x = 4, which calculation correctly follows the order of operations?
- 3 + 4 + 8 = 15
- 3 × 4 + 8 = 20
- 3 × (4 + 8) = 36
- 3 + 4 × 8 = 35
13.True or false: If a = 3, then 5a − 2 has a value of 13.
TrueFalse
14.Complete the statement: When h = 9, the value of 2h + 4 is .
15.Explain how to evaluate 2x + 5 when x = 6. Include the substitution and the operation you do first.
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