Solve the equation:
5b+9=94
b=17
What are the slope and the y-intercept in the given equation?
y=8/5x-12
Slope:
8/5
Y-intercept:
(0, -12)
What are the domain and range of this relation?
{(4, 2), (7, 1), (10, 0), (13, -1)}
Domain: {4, 7, 10, 13}
Range: {2, 1, 0, -1}
The graph below represents a system of equations. What is the solution?
(-4, 2)
Simplify using properties of exponents:
(2r)^4*2r^2
32r^6
Subtract these polynomials:
(2a^4+2a^2+a)-(6a^2+4a-3a^4)
5a^4-4a^2-3a
Solve the equation:
-10=x/2-3
x=-14
Write an equation in POINT-SLOPE form with the following criteria:
Slope: -5
Point: (-3, 7)
y-7=-5(x+3)
What are the domain and range of this relation?
{(1, -2), (2, -1), (8, 7), (1, -1)}
Domain: {1, 2, 8}
Range: {-2, -1, 7}
Wrtie a linear inequality that represents the graph below:
y<-2x-2
Simplify using properties of exponents:
(2x^0*4x^4)/(3x^2)
(8x^2)/3
Multiply the polynomials:
(5n+7)(6n-2)
30n^2+32n-14
Solve the equation:
-144=6(8k+8)
k=-4
Whater are the x-/y-intercepts of this linear equation in standard form?
0.25x-0.5y=3
x-intercept: (12, 0)
y-intercept: (0, -6)
Does this graph represent a function? Explain your answer.
No, this is NOT a function because it fails the vertical line test (some inputs have more than 1 output)
Solve this system of equations using SUBSTITUTION:
6x-5y=-4
y=x+2
(6, 8)
An employee receives a 2% raise once per year. If the employee's initial salary is $62,700.00, what will the employee's salary be after 10 years?
62700(1+0.02)^10=$76,430.95
Factor this polynomial completely:
2x^2+28x+80
2(x+4)(x+10)
Solve the equation:
-2(3n-5)=-4n+2
n=4
Write an equation in SLOPE-INTERCEPT form that goes through these 2 points. (hint: use slope formula first)
(-3, -1), (-4, 2)
y=-3x-10
Does this Graph Represent a function? Explain your answer.
Yes, this is a function because it passes the vertical line test (every input has 1 output)
Solve this system of equations using ELIMINATION:
-3x-2y=-7
3x+10y=23
(1, 2)
For tax purposes, a car rental company assumes each car in their fleet depreciates by 7% per year. If the initial value of a car is $33,000.00, what will the value be when the car is 8 years old?
33000(1-0.07)^8=$18,466.20
Factor this polynomial completely
5m^2+m-6
(5m+6)(m-1)