Systems of Linear Equations
Solve the following system of linear equations.
y=3x+4
y=-4x-3
(-1,1)
Solve for d.
4d < 32
d < 8
What is the slope of the linear equation written below?
y= 4x - 1
Slope: 4
Solve for f(3).
f(x)=2x
f(3) = 8
Simplify the following polynomials:
(x6 - 4x3 + 3x2 - 14) + (8x3 - 13x + 4)
x6 + 4x3 +3x2 -13x -10
Solve the following system of linear equations.
y=5x-11
y=-x+7
(3,4)
Solve for x.
8x - 15 > 49
x > 8
What is the slope of a horizontal line?
Slope: 0
What is the domain of the function y=3x.
(-inf, inf) AKA all real numbers.
Simplify the following polynomials:
(x2 + 4x - 4) - (x3 + 2x2 - 8)
-x3 + 3x2 + 4x + 4
Solve the following system of equations.
y=-2x+3
y=6x-1
(0.5, 2)
Solve for d.
7 > d + 7 > 2
0 > d > -5
What is the slope of a vertical line?
Slope: undefined
What is the dotted line called that the curve of an exponential graph approaches but never touches?
Asymptote
Simplify the following polynomials:
(x + 8)(2x - 2)
2x2 + 14x - 16
Solve the following system of equations.
y=4x+3
y=4x-11
No solution
Solve for x.
-3x + 19 < -2
x > 7
Find the slope of a line that goes through these two points:
(1, 1) and (8, 15)
Slope: 2
What is the range of the function y=2x?
(0, inf) AKA y>0
Factor the following polynomial:
5x3-80x
Solve the following system of equations.
y=x2
y=3x
(0,0) and (3,9)
Solve for x.
|x - 9| > 6
x > 15 OR x < 3
Find the slope of a line that goes through these two points:
(-4, -2) and (7, 16)
Slope: 18/11
Fernando opened a savings account and deposited $400. The account earns 15% interest, compounded annually. If he wants to use the money to buy new bicycle in 3 years, how much will he be able to spend on the bike? Round your answer to the nearest cent.
$925.22
Factor the following polynomial:
3x3+9x2+24x
3x(x+8)(x+1)