⚡Power Tower⚡
Find the prime factorization of 24.
2³ × 3
8 + 3 × 2
14
In the expression 4x+9, identify:
The coefficient
The constant
The variable
Answer:
Coefficient: 4
Constant: 9
Variable: x
Combine like terms:
3x + 5x
8x
Distribute:
3(x+4)
3x + 12
Find the GCF of 24 and 36.
12
Evaluate:
p+4 when p=3
Substitute:
3 + 4 = 7
Answer: 7
Find the prime factorization of 60.
2² × 3 × 5
6 + 2² × 3
18
How many terms are in the expression:
5x+8+y
3 terms (5x, 8, y)
Combine like terms:
7x+4+2x
9x + 4
Distribute:
5(2x+3)
10x + 15
Find the GCF of 18x and 30x.
6x
Evaluate:
2y when y=5
Substitute:
2(5) = 10
Answer: 10
Find the prime factorization of 84.
2² × 3 × 7
(10 − 4) × 3 + 2
20
What is the coefficient of y in the expression:
7x+y−4
1
Combine like terms:
6x−2−3x+5
3x + 3
Distribute (watch those signs!):
−4(3x−2)
−12x+8
Factor out the GCF:
8x+12
GCF = 4
Answer:
4(2x+3)
Evaluate:
3x+2x when x=4
Substitute:
3(4) + 2(4)
12 + 8 = 20
Find the prime factorization of 180.
2² × 3² × 5
5(2 + 1)² − 4
41
Write an algebraic expression for:
“Seven more than the opposite of x.”
-x + 7
or
7 + -x
Combine Like Terms:
8x−4−2x+3y−y
6x+2y−4
Distribute:
2(x+4−3y)
2x+8−6y
Factor out the GCF:
12x+18y+6
6(2x+3y+1)
Evaluate:
4x+3y+2x
when x=2 and y=3
Substitute
4(2) + 3(3) + 2(2)
8 + 9 + 4 = 21
Write 540 as a product of prime factors using exponents.
2² × 3³ × 5
(18+6)/3+2^2
12
Write an algebraic expression for:
“Six times the sum of k squared and eighteen.”
6(k^2 + 18)
Combine like terms:
4x + 3x^2-2x+x^2
4x^2 + 2x
Distribute AND simplify:
3(2x+5)−4x
2x+15
Factor out the GCF:
42x+63y+21
21(2x+3y+1)
Evaluate and simplify:
3(x+2)+2x
when x=3
Substitute for x
3((3)+2)+2(3)
Answer: 21