Solving Equations
Solve for w. Simplify as much as possible.
24 = -6 + 5w
w = 6
Evaluate the expression.
-3(7/5)^(0)
-3
Multiply using the distributive property. Simplify as much as possible.
9x^(3) (4 - 3x^(5))
36x^(3) - 27x^(8)
Factor.
16x^(3) + 20x^(2)
4x^(2) (4x+5)
Find the slope (m) of the line passing through the points (-5, -8) and (3, -8)
m = 0
Solve for v. Simplify as much as possible.
-(1/2) = -(1/3)v - (3/5)
v = -(3/10)
Rewrite without an exponent.
(9/7)^(-1)
(7/9)
Multiply and rewrite without parentheses. Simplify as much as possible.
-5wx^(3) (7w^(2) - 8w^(5)x^(6) + 9x^(6))
-35w^(3)x^(3) + 40w^(6)x^(9) - 45wx^(9)
Factor.
y^(2) + 16y + 64
(y + 8)^(2)
Find the y-intercept of the line.
y = (16/3)x - (19/6)
-(19/6)
Solve for w. Simplify as much as possible.
2(w+2) - 8w = 22
w = -3
Rewrite without an exponent.
(-6)^(-1)
-(1/6)
Multiply and simplify.
(x - 3)(x +6)
x^(2) + 3x - 18
Factor.
24u^(8)w^(6) - 28u^(6)w^(3)y^(7)
4u^(6)w^(3)(6u^(2)w^(3) - 7y^(7))
Find the slope of the line passing through the points (-3, -8) and (5, 6)
(7/4)
Solve for w. Simplify as much as possible.
(1/4)w - 6 = -(5/4)w - (1/3)
w = (34/9)
Rewrite without using a negative exponent. Simplify as much as possible.
-4z^(-2)
-(4/(z^2))
Multiply and simplify.
(7 + 3x)(7 - 3x)
49 - 9x^(2)
Factor.
28v^(6)w^(9) - 16vw^(5)x^(8)
4vw^(5) (7v^(5)w^(4) - 4x^(8))
A line passes through the point (2, -9) and has a slope of -9. Write an equation for this line.
y = -9x + 9
Solve for x. Simplify as much as possible.
2(x-8) = -8x + 4
x = 2
Multiply. Simplify as much as possible.
3x^(8)y^(2)2x3y^(2)
18x^(9)y^(4)
Rewrite without parentheses and simplify.
(w - 3)^(2)
w^(2) - 6w + 9
Factor by grouping.
5w^(6) - 7w^(4) + 30w^(2) - 42
(5w^(2) - 7)(w^(4) + 6)
Find the y-intercept and the x-intercept of the line 8x + 7y = -13
y-intercept: -(13/7)
x-intercept: -(13/8)