Exponents
Label the parts of the expression:
74
7 - Base
4 - Exponent
List the factors of 18.
1, 2, 3, 6, 9, 18
Write an example of a numerical expression.
(Any valid numerical expression is acceptable)
Write an algebraic expression for:
4 more than a number n
n + 4
x = 10, y = 3, z = 6, c = 25
Evaluate:
4xy - 12
4xy - 12
= 4(10) (3) - 12
= 120 - 12
= 108
What is
0.6 x 0.6 x 0.6 x 0.6
written as a power?
0.64
What is the GCF of 24 and 36?
12
Evaluate using order of operations:
50 - 5 x 6
50 - 5 x 6
= 50 - 30
= 20
Write an algebraic expression for:
Three times a number x
3x
x = 10, y = 3, z = 6, c = 25
Evaluate:
6(y + 5) - 8
6(y + 5) - 8
= 6(8) - 8
= 48 - 8
= 40
Write 64 as a repeated multiplication of 4s. Then write it as a power.
64 = 4 x 4 x 4 = 43
Create a factor tree to show the prime factorization of 36.
36 -> 6 x 6
6 -> 2 x 3
6 -> 2 x 3
Evaluate:
18 + (4 + 16)
18 + (4 + 16)
= 18 + 20
= 38
Write an algebraic expression for:
8 times the quantity m divided by 4
8(m / 2)
OR
2m
2x = 10, y = 3, z = 6, c = 25
Evaluate:
x2 - 20 + y
x2 - 20 + y
= 100 - 20 + 3
= 83
Evaluate:
25
32
Write the prime factorization of 35 as a product.
2 x 2 x 3 x 3 = 22 x 32
Evaluate:
7.5 + (10 - 3.2) - 1
7.5 + (10 - 3.2) - 1
= 7.5 + 6.8 - 1
= 13.3
Evaluate:
x2 + 6 when x = 7
x2 + 6, when x = 7:
49 + 6 = 55
x = 10, y = 3, z = 6, c = 25
Evaluate:
15y + 45
15y + 45
= 45 + 45
= 90
Evaluate:
92
81
A student waters plant every 4 days and feeds them every 6 days.
If both jobs were done on Day 0, on what day will both chores happen again?
(Use a table OR number line)
LCM of 4 and 6 = 12
-> Both chores on Day 12
Evaluate 62 [4 + (9 - 5)]
62 [4 + (9 - 5)]
= 36[4 + 4]
= 36 x 8
= 288
Evaluate:
10x - 3 when x = 9
90 - 3 = 87
x = 10, y = 3, z = 6, c = 25
Evaluate:
12 + (30 - z)2
12 + (30 - z)2
= 12 + (24)2
= 12 + 576
= 588