Algebra
Solve for the variable: 15/y = 3
y=5
What is the product of 254 and 253 in exponents?
257
Multiply: (3x – 7)(5x + 6)
15x2-17x-42
Use mathematical symbols to translate the verbal phrase into algebra: The quotient of s and t
s/t
Find the value given that w=10, x=8, y=5, and z=2: y2+z2
29
3/a = 19/3a - 5/3
a=48/15=16/5
If 5k * 55 = 57, what is the value of k?
k=2
Multiply: (6x – 7y)(4x – 3y)
24x2-46xy+21y2
Use mathematical symbols to translate the verbal phrase into algebra: x diminished by y
x-y
Find the value given that w=10, x=8, y=5, and z=2: 30-4(x-y)
18
Solve: (5y-30)/7 = 0
y=6
105
Multiply: (8x – 5)(4x – 7)
32x2-76x+35
Use mathematical symbols to translate the verbal phrase into algebra: one-third of the product of 5 and a number
(1/3)(5n) or (5/3)n or 5n/3
What is the value of (a+b)2 when a=-2 and b=4?
4
Solve: (2r-6)/5 =-4
r=-7
Find the value of x that makes the statement true: 528 = 53x * 57
x=7
Multiply: (4x2 – 9)(8x2 + 3)
32x4-60x2-27
Use mathematical symbols to translate the verbal phrase into algebra: twice the sum of one-half a number and 1
2[(1/2)n +1]
If x+y=7 what is the value of 2x+2y-2
12
Solve: 30/x = 7+ (18/2x)
x=3
Simplify: (3a3b3t5)3
27a9b9t15
Multiply: (3x2 + 2y)(7x2 + 3y)
21x4+23x2y+6y2
Use mathematical symbols to translate the verbal phrase into algebra: one number is 9 times another and their sum is 70
n+9n=70
If c/d =3 and d=1, what is 3c+d?
10