Equations
Inequalities
Quadratic Functions
Slope-Intercept
Exponential Functions
100
-13=a-14
a=1
100
-7b>28
b<-4
100
Factor the quadratic expression
x^2+3x-4
(x-1)(x+4)
100
Identify the slope and y-intercept of the line:
y=-3/7x+5
Slope: -3/7
y: (0,5)
100
What differentiates exponential growth functions from exponential decay functions?
Growth: Base>1
Decay: 0<Base<1
200
-9 -5 n = 66
n=-15
200
-9v-5<=-158
v>=17
200
Identify the vertex of the quadratic function and compare it to the parent function.
f(x)=-(x-1)^2+5
Vertex: (1, 5)
Reflected (upside down), up 5 and right 1
200
Write an equation of a line in slope-intercept form whose slope is -5 and y-intercept is (0, -11)
y=-5x-11
200
What determines the steepness of exponential functions?
Growth: Further from one = steeper
Decay: Closer to zero = steeper
300
-2 (x + 5) = 18
x=-14
300
73>1+8k
k<9
300
Solve the quadratic equation by factoring.
x^2-2x-80=0
x=-8 and x=10
300
Write the equation of the linear function with the given graph.
y=-x+2
300
Describe how the exponential function has been transformed.
f(x)=4^(x-1)+7
Right one, up 7
400
-2 = (-3 + m) / 3
m=-3
400
1>(10+a)/20
a<10
400
Solve the equation by taking square roots.
3x^2-4=23
x=3, x=-3
400
Find the slope of a line passing through the points (1, -1) and (4, 3)
m=4/3
400
An employee receives a 4% raise once per
year. If the employee's initial salary is
$66,800.00, what will the employee's
salary be after 5 years?
$81,300
500
213 = 7 (1 + 6x) - 4
x=5
500
-91<-7(1-2n)
n>(-6)
500
Solve the quadratic equation using square roots.
4(x-3)^2=72
x=+-3sqrt2+3
500
Identify the x- and y-intercepts of the linear function
3x+7y=12
(4,0) and (0, 1.7)
500
John researches a baseball card and finds that it is currently worth $3.25. However, it is supposed to increase in value 11% per year. In how many years will the card be worth $26?
Around 20 years