Solving Equations
Solving Systems of Equations
Simplifying Expressions
Factoring Expressions
Miscellaneous
100
−2m − 4 = −4(−8 − m)
{−6}
100
Solve with substitution:
5x − 8y = 7
y = 1
(3, 1)
100
(8 + 3r + 4r2) − (7r + 7r4 − 8)
−7r4 + 4r2 − 4r + 16
100
15n7 + 40n4 + 45n3
5n3(3n4 + 8n + 9)
100
Find the slope of the following line:
m=-1
200
5x − 40 = −6(5x − 7) − 6x
{2}
200
Solve with substitution:
−8x − y = −15
4x + y = 11
(1, 7)
200
(5n3 + 1 + 4n) + (4n − 2 − 4n3)
n3 + 8n − 1
200
−90 + 40k + 80k3
10(−9 + 4k + 8k3)
200
Find the slope of (−7, 5), (−15, 11).
m=−3/4
300
−8(x + 1) = −8(1 + 3x) + 4x
{0}
300
Solve with elimination:
−4x + 3y = 29
−7x − 3y =−7
(−2, 7)
300
2x4y−3 ⋅ 4x−1y2
(8x^3)/y
300
2a3 + 2a2 + 3a + 3
(2a2 + 3)(a + 1)
300
Write the slope-intercept form of the equation of the line through (1, −2) and (2, 3).
y = 5x − 7
400
g=(3a)/4, for a
a= (4g)/3
400
Solve with elimination:
−6x − 3y = −6
x − 10y = −20
(0, 2)
400
2m4n−1 ⋅ 4m2 ⋅ n2
8m6n
400
6n3 − 8n2 + 15n − 20
(2n2 + 5)(3n − 4)
400
Write the slope-intercept form of the equation of the line through (−1, −2) and (0, −3).
y = −x − 3
500
c/a=r/d, for a
a=(dc)/r
500
Solve with elimination:
x - 3y + 3z = -4
2x + 3y - z = 15
4x - 3y - z = 19
(5,1,-2)
500
m0n−2 ⋅ m4n3
m4n
500
10p3 − 25p2 + 8p − 20
(5p2 + 4)(2p − 5)
500
through: (3, −2), parallel to:
y = 1/3 x + 2
y = 1/3 x − 3