Algebra 1 Unit 3

Question 1

What is a Coordinate Plane?

Answer 1

Formed by the intersection of two number lines, the horizontal axis and the vertical axis

Question 2

What is the x-axis?

Answer 2

The horizontal (left to right) axis on a coordinate plane

Question 3

What is the y-axis?

Answer 3

The vertical (up and down) axis on a coordiante plane

Question 4

What are quadrants?

Answer 4

The four regions into which the x and y axis separate the coordinate plane

Question 5

What is the origin?

Answer 5

It is the point at which the x and y axis intersect on the corrdinate plane at (0,0)

Question 6

What is an ordered pair?

Answer 6

A set of number or coordinate, written in the form (x,y)

Question 7

What is the x-coordinate?

Answer 7

The horizontal placement of an ordered pair

Question 8

What is the y-coordinate?

Answer 8

The vertical placement of an ordered pair

Question 9

What is a discrete graph?

Answer 9

A graph that consists of points that are not connected

Question 10

What is a continuous graph?

Answer 10

A function graphed with a line or smooth curve

Question 11

What is a relation?

Answer 11

A set of ordered pairs

Question 12

What is a domain?

Answer 12

The set of x values in a relation

Question 13

What is a range?

Answer 13

The set of y values in a relation

Question 14

What does a mapping diagram do?

Answer 14

It illistrates how each element of the domain is paired with an element of the range

Question 15

What is a function?

Answer 15

A relation in which each element of the domain is paired with exactly ONE element of the range

Question 16

What the simple way of identifying a function?

Answer 16

The x-values don’t repeat

Question 17

What is function notation?

Answer 17

A way to name a function that is defined by an equation where “y” is replaced with f(x)

Question 18

What is an input?

Answer 18

A value substituted for an x-value in a function

Question 19

What is an output?

Answer 19

The result of sustituting a value into a function

Question 20

What is the vertical line test?

Answer 20

If any vertical line passes through the graph of a relation no more than once, then it is a function

Question 21

What are zeros of a function?

Answer 21

The x-intercepts of the graph of a function. The points for which f(x) = 0

Question 22

What is an arithmetic sequence?

Answer 22

A numerical pattern that increases or decreases at a constant rate or value through addition or subtraction

Question 23

What is a common difference?

Answer 23

The difference between consecutive terms in an arithmetic sequence

Question 24

What is the arithmetic sequence formula

Answer 24

A formula used to find the n-th term of an arithmetic sequence

Question 25

A set of ordered pairs is a …

Answer 25

Relation

Question 26

The set of x-values is called the …

Answer 26

Domain

Question 27

The set of y-values is called the …

Answer 27

Range

Question 28

Is {(-5,3), (-1,0), (3,4), (-1,2) a function?

Answer 28

No because the x-value repeats (-1)

Question 29

Is {(0,-8), (5,3), (-4,3), (9,2) a function?

Answer 29

Yes, because no x-value repeats

Question 30

What are zeris graphically?

Answer 30

The points at which the graph crosses/intersects the x-axis

Question 31

What are other names for zeros?

Answer 31

Roots, x-intercepts, and solutions

Question 32

How do you identify zeros algebraically?

Answer 32

Set the function equal to zero and solve it

Question 33

What is the arithmetic common difference of 9, 13, 17, 21, …

Answer 33

The common difference is +4

Question 34

What is the arithmetic common difference of 5, 2, -1, -4, …

Answer 34

The common difference is -3