Name That Math!
In 73, identify the base and exponent.
Base: 7. Exponent: 3.
A student says 43 = 12. What did they do wrong? What is the correct answer?
They multiplied 4×3. It should be 4×4×4=64.
List all the factors of 12.
1, 2, 3, 4, 6, 12
Write an expression for “n plus 9.”
n+9
Write 24 as repeated multiplication, then evaluate.
2×2×2×2=16
What do we call a whole number greater than 1 that has exactly two factors: 1 and itself?
A prime number.
Is 1 a prime number? Explain.
No. It has only one factor. Prime numbers have exactly two factors.
Find the prime factorization of 30.
2×3×5
Write an expression for “4 times p minus 7.”
4p-7
Evaluate 18 - 3 × 4
18 - 12 = 6
In 8x + 5 , identify the coefficient and constant.
Coefficient: 8. Constant: 5.
A student says the LCM of 4 and 8 is 32 because 4×8=32. Explain the mistake.
32 is a common multiple, but not the least. The LCM is 8.
Find the GCF of 18 and 30. Show your work using factor trees.
6.
How many terms are in 5a+3b+9 ? Identify the terms and coefficients.
3 terms: 5a, 3b, 9. Coefficients: 5 and 3.
Evaluate 32 + 2(8-5)
9+2(3) = 9+6 = 15
What is a term? How many terms are in 6x+4+2y?
A term is a part of an expression separated by addition or subtraction. Terms: 3
A student solves 20-8+3 and gets 9 because they add first. Explain the mistake and find the correct answer.
Addition and subtraction have equal priority; work left to right. 20-8=12, then 12+3= 15.
Find both the GCF and LCM of 8 and 12.
GCF: 4. LCM: 24.
Write an expression for “3 times the sum of z and 4.” Explain why it needs parentheses.
3(z+4). Parentheses show that the entire sum is multiplied by 3.
Evaluate 24÷3×2+23
8×2+8=16+8=24