College Algebra Midterm, Chapters 1 and 2.
Solve and check the linear equation. Give steps. Ignore collecting terms. Everything done to one side happens to another. (-8x + 2) - 4 = -7(x-2)
(-8x + 2) - 4 = -7(x-2) P: -8x - 2 = -7x + 14 Add 7x + 2: -x = 16 Divide by -1: x = -16
Solve the equation by factoring. x^2 + 7x - 60 = 0
AC Method, multiply x^2 by -60 Divide 60 by 1, then 2 and so on, until you get one that 60 / # - # = 7 60/5 - 5 = 7, so we want -5, +12 as our factoring numbers. x+12 = 0 x-5 = 0 solve for x, negative number first {-12, 5} slay
In this Quizlet, I will not list these among steps, as they are implied rules and not interesting:
Collecting terms, dual operations, individual steps.
Solve the equation by factoring. 5x^2 - 11x = 0
Easy to factor, take one x away from both terms and do: x(5x - 11) = 0 5x - 11 = {0} 5x = 11 divide everything by 5 x = {11/5} because 11/5 ain't clean, she got decimals {0, 11/5} wow slay
Solve the equation. Give steps. x/2x+2 = -2x/4x+4 + 2x-3/x+1
Factor denominators, or "turn it into a multiplication problem" to find LCD, 4(x+1) Cross-Multiply everything by the LCD, 4(x+1) Cancel out like terms 4(x+1) 2x = -2x + 4(2x-3) Distribute and solve x = 3
Solve the word problem. $42,000 is inherited and invested during the first year in two different stocks, one paying 4%, and the other paying 10% annual rate of interest. If the interest earned is $2,400 by the end of the year, how much was invested in each stock? Interest = Principle * Rate
I legit get stuck here, fix in morning.
Solve the equation by the square root property. 5x^2 = 35
ISOLATE THE SQUARE girlypop divide all them garden tools by 5 wow yes all of them even the 35. she is faithful but also divide her okay? do it. x^2 = 7 write these as a square root honey x = +-√7 wow im so good at alt codes mmmmmmm it's +-, so {-√7, √7}
What is the formula for calculating annual interest?
Interest = Principle * Rate of Interest I = P*Rt
Solve the polynomial equation by factoring and then using the zero product principle. 5x - 4 = 80x^3 - 64x^2
Okay first make it equal to 0 by -5x + 4 to both sides 80x^3 - 64x^2 -5x + 4 = 0 wow so like factor by grouping lmao (80x^3 - 64x^2) -1(5x - 4) = 0 these get changed because it's a factor now. Because it was equal to 5x - 4 before, you can make your exponent terms a product of (5x - 4). 16x^2(5x - 4) -1(5x - 4) collect like terms and groupppppp AGAIN honey. (5x - 4)(16x^2 - 1) there's a square, so square root it. (5x - 4)(4x + 1)(4x - 1) both 4x terms have their own 1 because you just squared the 16. deal with it, and set each factor to = 0, then solveeeeee 5x - 4 = 0, x = 4/5 4x + 1 = 0, x = -1/4 4x - 1 = 0, x = 1/4 bitch it's gonna be {-1/4, 1/4, 4/5}
Solve the equation by the method of your choice. But like literally use the quadratic formula though lmao. x = -b +-√b^2-4ac / 2a 5x^2 + 12x = - 3
Set that ho to 0, by adding 3 to both sides honey yes slay. 5x^2 + 12x + 3 = 0 now you literally plug her IN to that quadratic formula okay hunty? you know your ABCs right? ok girl well a = 5, b = 12, c = 3. plug it in ho. YES. x = -12 +- √12^2 -4(5)(3) / 2(5) wow so hard so slay. parentheses first you aglet looking slag. x = -12+-√144-60 / 10 um. combine the terms mama. x = -12 +-√84 / 10 wow so like this means divide everything by 2, even your denominator. x = -6 +-√21 / 5 the square results to 21 because you're gonna have two + or - squares, which equals 42. just SOMETHING about that number. it'll look like {-6-√21 / 5, -6+√21 / 5} OKAY?!
Solve the equation by the square root property. (2x-5)^2 = 121
Square root each side 2x - 5 = +-11 solve twice, one with positive 11 one with negative 11, because there's two elevens due to square root. 2x = +16 solve = 8 2x = -6 solve = -3 {-3, 8}
Solve the word problem. Rectangular room is 8 feet longer than width * 2. Perimeter is 172 feet, what are the dimensions?
Word problem--no
Solve the equation. Give steps. x/5 = x/6 + 6/5
x/5 = x/6 + 6/5 cross-multiply each term by the LCD, 30/1 6x = 5x + 36 solve x = 36
