Unit 1
How many solutions will there be if both sides of the equal sign have different coefficients?
Solve: 3x + 7 = 4x - 2
One solution
x=9
Slope is the change in ______ over the change in _____. Slope is also known as the unit rate OR the rate of change.
Y / X (Y over X)
Which IS a linear function and why?
A. y=x2
B. y= 3/x - 10
C. y= 2x
D. y= 3x + 32
D, because the equation is in y=mx+b form and the others are not. x cannot be in the denominator, x cannot have an exponent and x cannot be the exponent.
When translating x the (+) and (-) tells us to move _____ and ______.
When translating y the (+) and (-) tells us to move _____ and _____.
Right and left
Up and down
When multiplying with the same base you ______ the exponents.
Solve: (2-3) (28)
add the exponents
=25
How many solutions will there be if both sides of the equal sign have the same coefficients, and different constants?
Solve: 4x + 7 = 4x - 2
No solution
7 does not = -2
'B' is also known as the __- intercept and can be identified as the point that touches/crosses the ___- axis.
y-intercept, y-axis
When solving systems of equations and both equations are in Y= form, what can we automatically do?
Solve: Y= 2x + 10
Y= 3x - 35
Set them equal and solve for x and y.
= (45,100)
When finding the volume in terms of pi, what do we leave out when typing into the calculator?
pi
When dividing by the same base you ________ the exponents.
Solve: 3-9
3-7
subtract the exponents.
3-2
How many solutions are there when both sides of the equal sign have the same coefficients and the same constant?
Solve: 3x + 9 = 3 (x+3)
Infinitely many solutions
3x + 9 = 3x + 9
A function is NON-linear when the ____ value repeats.
X value
example: (2,0) (2,3) (3,6) (4,9)
When solving using elimination, both equations must have opposite ____________ to cancel the variable.
Coefficients
When given the diameter of 3 we divide by ____ to get a radius of _____.
divide by 2, radius of 1.5
(dividing by 2 is the same as multiplying by 1/2)
Radius= 1/2 diameter
When multiplying a power to a power you _________ the exponents.
Solve: (54)7
Multiply the exponents
=528
Angles that equal 90 degrees are called __________ angles.
Angles that equal 180 degrees are called ____________ angles.
Complementary , Supplementary
When looking at a scatter plot, the line of best fit should be located in the _________ of the data.
CENTER
Solve the system of equations using ELIMINATION
3x - y = 7
2x + y = 8
(3,2)
FILL IN THE APPROPRIATE OPERATIONS WHEN COMPARING TWO SHAPES (VOLUME & AREA)
How many times greater is _________.
The difference between is _________.
The total is ________.
Given 'per' and asking for multiple ___________.
Division
Subtraction
Addition
Multiplication
When making a negative exponent positive we create a _______ by flipping the number, and making the exponent _________.
Solve and write in standard form: 5-2
fraction , positive
= 1/52 = 1/25
What are the FOUR types of angles that are always congruent when two parallel lines are cut by a transversal?
1. Corresponding angles
2. Vertical angles
3. Alternate interior angles
4. Alternate exterior angles
When looking for the y-intercept on a table, the ____ value has to be 0.
When writing the equation of a line, it must be in ___________ form.
X value, Y= mx+b
Solve the system of equations using the method of your choice
y = 6x - 15
5y = 10x + 5
(4,9)
Point A begins at (2,-3). It rotates 180 degrees, reflects over the x axis and then reflects over the y axis. What quadrant is point A'?
Quadrant 4. The prime point landed on the same spot where it began.
In scientific notation when moving the decimal to the left we _______ to the exponent.
When moving to the right we _______ from the exponent.
left - add
right - subtract