Linear Equations & Inequalities
What is the rate of change formula?
(y2 - y1) / (x2 - x1)
When factoring a trinomial, you want to find factors of a*c that . . .
add up to b
For an exponential function y=a(b)x, a is the . . .
y-intercept or starting value
What is the invisible root for a radical expression?
2
True or false: A point on a dashed line is a solution to a system of inequalities
False
When do you flip an inequality symbol?
When multiplying or dividing by a negative
For a quadratic function, to find the time when an object hits the ground, use the. . .
What is the exponent button on the calculator?
yx
When do you add exponents and when do you subtract?
Add when multiplying the same base, subtract when dividing the same base.
The number of solutions to a system of equations that is consistent and dependent
Infinite
How can you determine the y-intercept of a graph from a table of values?
Find x = 0
Formula for the x-value of the vertex
-b / 2a
If an exponential function describes interest compounded weekly, then the n-value is . . .
n = 52
Label the components of the radical expression
root/index: 3, power: 5, base/radicand: xy
How can you solve the following system:
y = 6x - 7
4x + 2y = -19
Substitution: plug in 6x-7 for y in the second equation
Describe the boundary line and shading of the graph of the linear inequality:
y < -3x - 6
Dashed boundary line, shaded below
Formula for new c value when completing the square
(-b/2)2
When does an exponential equation y=a(b)x demonstrate decay vs growth?
Decay when b < 1, Growth when b > 1
Describe the negative exponent rule
Flip numerators and denominators
How can you solve the following system:
3x - 2y = 14
5x + y = 27
Elimination: Multiply the second equation by 2 and add the equations to eliminate y
What is the slope of the linear equation:
y - 4 = -2(x + 1)
m = -2
On a graph of a parabola, the x-value of the vertex is also the...
Axis of Symmetry
How do you round to the nearest hundredth?
Two digits after decimal. If 3rd digit is 5 or greater, round up the 2nd digit.
In order to add or subtract radical expressions, they must have the same . . .
Base/Radicand
If a point is a solution to a system of inequalities, then on the graph it will be in the . . .
double shaded/overlapping region