Single Variable Equations (calculator)
when looking at the answer in the calculator, how do we determine the answer of a one-solution single-variable equation?
where y is 0, x is the answer.
what is the fourth step of solving single-variable equations?
separate the variable from the coefficient
What does the variable "m" stand for in slope-intercept form?
slope
Define congruence
same size and shape
Define a transversal
a line that intersects another line
When typing into a calculator, what takes the place of the equal sign to solve a single-variable equation?
subtraction and parenthesis surrounding the right side.
Define Distributive Property
taking a term outside of parenthesis and multiplying it by every term inside the parenthesis.
what is slope-intercept form?
y=mx+b
which transformation does not result in congrusence?
dilation
Define a linear pair
two adjacent supplementary angles (they form a straight line)
what does the table look like when an equation has only zeros in the y-column?
infinite solutions
what does an equation with no solution end up equaling to?
number = different number
Which variable in slope-intercept form gives us the x-intercept?
none of them.
Give the 4 transformations and their "bop-it" terms
Translation- Move it
Reflection- Flip it
Rotation- Turn it
Dilation- Multiply it
Define alternate-exterior angles
Two angles outside of parallel lines on opposing sides of a transversal.
write the following equation how it would look if typed correctly into the calculator:
-3(2a+5)=-4(a-14)+7
y=-3(2x+5)-(-4(x-14)+7)
list the 4 steps in order
1) like-terms/distribute
2) move variables
3) isolate variable+coefficient
4) separate variable from coefficient
Convert the following problem into slope-intercept form:
-15x+3y=30
y=5x+10
Which series of transformations will result in a congruent shape? choose 2 answers.
1) Translation, Reflection, Dilation
2) Dilation, Rotation
3) Rotation, Translation, Reflection
4) Reflection, Translation, Reflection
5) Translation, Dilation, Translation
3, 4
give an example of an angle relationship across parallel lines in which the angles are supplementary
SS-Int, SS-Ext
If the y-column changes but the numbers jump over zero (skipping from a negative to a positive), what does that mean about the answer? how many solutions?
the answer is a decimal. One solution.
Solve the following equation with work shown by hand:
5(2x+4)-3=2(5x-4)-3
no solution
Which equation has a greater rate of change? convert all equations into slope-intercept form to show work.
y=-6x+7
11x+2y=18
24x+3y=45
11x+2y=18 (slope=-5.5)
the point (6,-4) is translated 3 to the right, reflected over the y-axis, and translated 2 down. What is the new point?
(-9,-6)
x=35