Linear Equations & Solving
Solve: 3x + 3 - 2x = 21
x = 18
Given the points (2,6) and (4,-3), find the slope of the line between them
slope = -9/2
Simplify: a(b - c) - 2a(c+b)
-ab - 3ac
What property is shown: c (a + b)= ca + cb
Distributive Property
What is the average of a,b,c if a + b = 2c and b = 3c
3c
Solve: 2(3x - 4) = 34
x = 7
Find the x- and y-intercept of 2x + 3y = –18
x-intercept = -9; y-intercept = -6
Simplify: -4(3x - 2) -2(4 + 3x)
-18x
What does b2 - 4ac < 0 tell us?
There are no real solutions (a negative number)
If 3x+8x+4x = 6x+21, then what is 3x+16?
23
Solve: 3/7x + 6 = 9
x = 7
What is the point-slope form of a linear equation:
y - y1 = m(x - x1)
Expand: (2x – 6)2
4x2 - 24x + 36
What is the slope-intercept formula?
y = mx + b
Find the domain of x2 - 3x - 10 = 0
All Real Numbers
Solve for a: ax + b = c
a = (c - b)/x
Write the slope-intercept form of the line passing through (3,9) and (5,4)
y = -5/2x +33/2
Simplify: -(x+7) - 2(4x+y)
-9x - 7 - 2y
Two lines with the same slope but different intercepts have how many solutions?
No solutions
Evaluate: [((2 * 3) + (7 * 4)) + 2] * [(9 - 6) - (4 - 3)]
72
Solve: 3p - 1 = 5(p - 1) - 2(7 - 2p)
p = 3
If 5x+8y=67 and 2x-y=31, find x+y
14
Simplify: 1/4(-4 + 16x) - 2/5(20x - 15)
5 - 4x
What is the range of x = 7?
All real numbers
What is the solution to the system of equations :
7x - 4y = 4 and x - 4y = 3
x = 1/6 and y = -17/24