Algebraic Equations
When solving the equation 4(3x^2+2)-9 = 8x^2 +7, Emily wrote 4(3x^2+2) = 8x^2+16 as her first step. Which property justifies Emily’s first step?
(1) addition property of equality
(2) commutative property of addition
(3) multiplication property of equality
(4) distributive property of multiplication over addition
(1) addition property of equality
13x - 19 = 9x + 37
x = 14
(3x + 4y)(3x-4y)
9x^2 - 16y^2
Subtract -21x^2+17x+39 from 11x^2 - 25x-13
32x^2-42x-52
Define slope
Measure of Steepness
If A + 3x^2+5x-6 and B=-2x^2-6x+7, then A-B equals
(1) -5x^2-11x+13
(2) 5x^2+11x-13
(3) -5x^2-x+1
(4) 5x^2-x+1
(2) 5x^2+11x-13
8w + 27 = 5w - 15
x= -14
12y^3 - 36y^4
12y^3(1-3y)
Solve this equations
(3w-7p)^2
9w^2 - 42wp + 49p
Define complementary angles
Two angles that form a 90 degree angle
Which equation has the same solution as x^2 -6x -12=0?
(1) (x+3)^2 = 21
(2) (x+3)^2 = 21
(3) (x+3)^2 = 3
(4) (x+3)^2 = 3
(2) (x+3)^2 = 21
10t + 42 = 86 - 12t
y^2 - 12y + 20 = 0
(2,10)
Factor these equations
5x^3 - 10x^2
z^2 + 9x + 14
5x^2(x-2)
(z+2)(z+7)
What is an irrational number and the most famous example
Real numbers that can't be made by dividing two integers, which have no fractional parts. The decimals of irrational numbers go on infinitely. A famous example is pi
Keith determines the zeros of the function f(x) to be 6 and 5. What could be Keith’s function?
(1) f(x) = (x+5)(x+6)
(2) f(x) = (x+5)(x-6)
(3) f(x) = (x-5)(x+6)
(4) f(x) = (x-5)(x-6)
(3) f(x) = (x-5)(x+6)
92w + 149 = 47w - 26
p = 2
4d^2 - 49 = 0
(-7/2, 7/2)
Solve these equations:
x^2 - 5x - 24 = 0
(8,-3)
Define correlation
How two sets relate to one another
Which system of equations has the same solution as the system computations. below?
2x + 2y = 16
3x - y = 4
(1) 2x + 2y = 16
6x - 2y = 4
(2) 2x + 2y = 16
6x - 2y = 8
(3) x + y = 16
3x - y = 4
(4) 6x + 6y = 48
6x +2y = 8
(2) 2x + 2y = 16
6x - 2y = 8
120p - 1340 = 480 - 3(95 - 20p)
w = -35/9
y^2 - 16y + 64 = 0
8
(42x^2 + 62x + 52) + (33x^2 - 37x + 41)
75x^2 + 25x + 93
Opposite of that number or 1 divided by that number