Simple Equations
Is this a function (and why/why not): (1, 2), (2, 3), (2, 4)
No - the input of 2 has two different outputs (3 and 4)
What is the slope-intercept form of a linear equation?
y= mx + b
Find the slope: 2(3x - y) = -10
3
What property is shown: (a * b) * c = a * (b * c)
Associative Property of Multiplication
Solve the equation: |x| - 6 = 4
x = 10 or x = -10
Simplify (3x2y)3 (2x3y)
54x9y4
Simplify: 3(6wd - 3) + 3wd
21wd - 9
Write the following equation in slope-intercept form: 5(x + 2y) = 20
y = -1/2x + 2
What is the slope of the following equation:
2x + 2y = 8
slope = -1
Evaluate 4x2 + 2x + 1 for x = -2
13
Solve: 4|x - 5| = 12
x = 8 or x = 2
Evaluate: f(x) = (x - 8)2 + 4
f (- 5)
173
Solve for a: ax + b = c
Algebra: a = (c - b)/x
Solve: (3x-5)/4 = 5
x = 25/3
Solve: (3 - 3x)/7 = 6
x = -13
Evaluate: [(2 * 3) + (7 * 4)] + 2
36
Solve: 4|x + 3| - 7 = 5
x = 0 or x = -6
Simplify (2x + 4) (5x - 2)
10x2 +16x - 8
Simplify: a(b - c) - 2a(c + b)
-1ab - 3ac
Simplify: -4(3x - 2) -2(4 + 3x)
-18x
Simplify: 22p - 7p + 19 - 15 - 12
15p - 8
Simplify: -(x + 7) -2(4x + y)
-9x -7 -2y
Solve: -3|x - 1| + 5 = 8
No solution (absolute value is always positive)
Simplify 6m(3m - 2)(m + 1)
18m3 +6m2 - 12m
Solve: 21 + x = 2(x - 6)
x = 33
Is this a function (and why/why not): x = 3
No - the input of 3 can have any output, which breaks the rule of functions
simplify: 4h2k - 4hk2 + 2k2 + 7hk2 - 3h2k - 3hk2
h2k + 2k2
What's the slope of the line passing through (3,9) (5,4)
slope: -5/2
Simplify: 1/4(-4 + 16x) - 2/5(20x - 15)
5 - 4x
Solve: 0.8|x + 4| - 3 = 1
x = -9 or x = 1
4(6x - 9)= 14
x = 2 1/12