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Vocab/theorems
Linear Equations
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Systems and Functions
Scientific notation/exp/pythag thm
100

State the Pythagorean theorem, describe when it is used, and state what each variable represents.

a^2+b^2=c^2

Used for right triangles. a and b are the side lengths, and c is the hypotenuse.

100

What is the y intercept of the equation:

y=-4x+6

(0,6) or 6

100
State and describe the 3 types of rigid motions

Translation: slides a figure

Rotation: rotates a figure

Reflection: flips a figure 


100

How do we check if a point is a solution to a system of equations? 

We must substitute the point into BOTH equations and check if we get a true statement after substitution. 


100

Simplify the following expression 

(4x^5)(4x^7)

4x^12

200

What is the difference between the x intercept and the y intercept?

X intercept occurs when y is zero, or when the line passes through the x axis

Y intercept occurs when x. is zero, or when the line passes through thet y axis

200

Which of the following points is the solution to the equation 2y = 4x + 2

(1 , 2)

(0 , 1)

(3 , 0)

( 0 , 1 )

200

Why is a dilation not considered a rigid motion?

Dilations change the side lengths or size of a shape. Rigid motions do not

200

Describe what it means for an equation to be a function

Every input (x value) only has one output (y value) 


200

Write the numbers in scientific notation

672000

0.0038

6.72 x 10^5

3.8 x 10^-3

300

What is an ordered pair? 

a point on a graph

a coordinate

(x , y)

300

Put the following equation into slope intercept form

3x + 2y - 9 = 1

y= -3/2 (x) + 5

300

What is Ms Cs first name. Spelling MUST be correct 

Lucie

300

Which of the following set of coordinates cannot describe a function

{ (1,0) (3,7) (7,3) }

{ (2,5) (7,4) (3,4) } 

{ (6,3) (3, 5) (6,0) }

{ (6,3) (3, 5) (6,0) }

reason: there are multiple of the same x value

300

Compute the following expression

(4.5 x 10^3) - (3.2 x 10^2)

Write the solution in scientific notation

4.18 x 10^3
400
Describe the difference between parallel and perpendicular lines. 

Parallel lines never cross/meet 

Perpendicular lines cross to form a right angle 

400
Write an equation to describe the following scenario, then solve for the number. 

A half of a number plus 13 is equal to 22

.5x + 13 = 22

x = 18

400

A circle has an area of 49π. Find the radius and diameter of the circle. 

A=2πr^2

r = 7 

d = 14

400

How many solutions does the following system of equations have? 

y = -5x + 4

-2y = 10x + 5

Zero solutions 

400
When is appropriate to use exponent rules? 

(when can we use product rule, etc)

When the bases are the same

500
Describe the difference between supplementary angles and complementary angles?

Supplementary: two angles that add up to 180 degrees

Complementary: two angles that add up to 90 degrees

500

Find the equation of a line passing through the point (2, 5) with a slope of -3.

y - 5 = -3(x - 2)

500
What happens to a shape when the scale factor of a dilation is greater than 1? Less than 1? Equal to 1? 

Greater than 1: shape gets bigger

less than 1: shape gets smaller

equal to 1: shape stays the same

500

Alex and Jordan are comparing two different cell phone plans.

  • Plan A has a $20 monthly fee plus $0.10 per text message.

  • Plan B has a $10 monthly fee plus $0.25 per text message.

They want to find out after how many text messages the two plans will cost the same amount. Write a system of equations that can represent this scenario. 

y= 0.10x + 20

y= 0.25x + 10

y=total cost 

x = number of months

500

A right triangle has side lengths of 6 and 8. Find the hypotenuse. 

c = 10