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Expressions and Prime Numbers
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Expressions and Prime Numbers
Solve each clue to help the Number Lab sort its mystery numbers. Remember: a prime number has exactly two positive factors, and an expression has no equals sign.
Prime-number clues
1.The number line marks every prime number from 1 to 20. Which marked number is the only even prime?
2.A robot says, “21 is prime because it is odd.” Is the robot correct? Choose the best explanation.
- Yes. Every odd number is prime.
- No. 21 has factors 1, 3, 7, and 21.
- No. 21 is even.
- Yes. 21 has exactly two factors.
3.The lab can use the cards 13, 15, 17, and 19. Write all the prime-number cards.
4.True or false: The number 1 is prime because it has only one factor.
TrueFalse
Expression workshop
5.The lab's four code cards are 4 + n, 4 + n = 10, 3m − 2, and m = 7. Select every card that is an expression.
- 4 + n
- 4 + n = 10
- 3m − 2
- m = 7
6.A supply box contains p prime-number tokens. Write an expression for the number of tokens after 6 more are added.
7.Evaluate 2x + 1 when x = 5. Show the substitution or calculation.
8.For the expression 3a + 4, find its value when a = 2 and when a = 6. What is the difference between the two values?
9.A student claims that p + 1 is always composite whenever p is a prime number greater than 2. Is the claim true? Explain using what you know about odd and even numbers.
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