# STAAR Algebra 1 Flash Cards

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1. System of Equations with No Solution
• Two lines that never intersect, they are parallel (they have the same slope)
2. System of equations with infinite solutions
• System where both equations represent the same line, they intersect at all points on the line
• y = x2
• Domain: All real Numbers (
• Range

4. Parent Function
• The most basic graph (no shifts, stretches, etc.).
• *Must go through the origin*
• *Must be positive*
5. Exponential Decay
• y=a(1-r)t
•

a = initial value

r = decay rate (a percent)

t = time

Domain: 0<x<
6. Exponential Growth
• y=a(1+r)t
•

a = initial value

r = growth rate (a percent)

t = time

Domain: 0<x<
7. Horizontal Asymptote
• ALWAYS the x-axis (the equation y=0)
• An imaginary barrier that prevents the graph from crossing the x-axis
8. Vertex Form of a Quadratic
y=a(x-h)2+k

h is the opposite of what is in the formula

Vertex: (h, k)
9. Exponential Functions
Equations where the variable is the exponent   y=a(b)x

• a is the y-intercept (the number without x)
• Domain:
• Range: 0<y< (y-int is positive), <y<0 (y-int is negative)
• Horizontal asymptote: y=0
10. Evaluating Functions
If f(x)=3x+5, find f(2)

• Plug in 2 for x
• f(2)=3(2)+5
• f(2)=6+5
• f(2)=11
•  Same thing as (2,11)
11. Arithmetic Sequence
A sequence created by multiplying a constant amount

y=a1+(n-1)(d)

a1– the first term

d – the common difference

n – represents a position in the pattern (ex. if n = 9 it is the 9th term)
12. Geometric Sequence
A sequence created by multiplying a constant amount

y=a1(r)n-1

a1– the first term

r – the common ratio

n – represents a position in the pattern (ex. if n = 9 it is the 9th term)
13. Linear Parent Function
• y = x
• Domain: All Real Numbers
• Range: All Real Numbers

14. Domain
• The X-VALUES for a given function
• The INPUT values for a given function
15. Range
• The Y-VALUES for a given function
• The OUTPUT values for a given function
16. Continuous Data
Data that is connected

DoLoR the RoBoT

• Domain Left to Right  __<x<__
• Range Bottom to Top  __<y<__

17. Slope

per

rate of change

attached to "x"

y per x
18. Equation of a line
y = mx + b

m = slope (how much you Move)

b = y - intercept (where you Begin)
19. X - intercept
Point where the graph crosses the x-axis

when y = 0

(x, 0)

aka: Root, zero of a function, solution

20. Y - intercept
Point where a graph crosses the y-axis

when x = 0

(0, y)

The beginning, initial value, starting point, first

21. Negative Exponents
To make an exponent positive, move it to either the top or bottom (the opposite of where it starts at).

Remember:  Negative exponents are unhappy so we must MOVE them to make them happy!

22. Negative Slope
Goes down from Left to right

23. Positve Slope
Goes Up from left to right

24. Undefined slope
Up and Down is Undefined

• All equations:  x=#
25. Zero Slope
AcrOss

y = a#

• (it can be graphed in the calculator)
26. Solution to a system of equations
• The point where the two graphs intersect
27. Solving equations
The value or values that make the equation or inequality true

(plug in the values and see which one works)
28. Vertex
Lowest (minimum) or highest (maximum) point of a parabola

Determines Range

• Minimum:  Range  y>k
• Maximum:  Range  y<k

29. Direct Variation
Change it to "divided by" - its the same thing as slope!

30. Exponent Rules
31. Parabola
The graph of a quadratic equation (y = x2)

Positive opens up, negative opens down
32. Origin
(0,0)

33. y=(x-c)+d
c is INSIDE so its a horitzontal transfomration

• +c - move left
• -c - move right

d is outside the parentheses so its a vertical shift

• +d - move up
• -d - move down
34. is INSIDE so its a HORIZONTAL stretch/compress

a > 1 - Horizontal COMPRESSION of 1/a

0<a<1 (means a is between 0 and 1) - Horizontal Stretch of 1/a

HIO (Horizontal Inside Opposite)
35. y=ax2
"a" stretches/compresses the graph - a is OUTSIDE so its effects the graph vertically

a > 1 - Vertical STRETCH

0<a<1 (means a is between 0 and 1) - Vertical COMPRESSION
37. Solutions of a quadratic equation
SOLUTIONS, ROOTS ZEROS, X-INTERCEPTS

(where the graph crosses the x-axis)

38. perimeter
The distance around the outside of a figure

How to find it: Add up all the sides

(in a circle, it is called the circumference)
39. Less than or equal to
• <
• Made with the LEFT hand
• Use Solid Line or Solid Circle
40. Less than
• <
• Made with the LEFT hand
• Use Dashed Line or Open Circle

41. Greater Than or Equal To
• >
• Made with the RIGHT hand
• Use Dashed Line or Open Circle
42. Greater than
• >
• Made with the RIGHT hand
• Use Dashed Line or Open Circle

43. Parallel lines
Have the same slope

Never touch

44. Perpendicular lines
• Meet at a 90o angle
• Slopes are flipped and switched

45. Line of symmetry
A line that can be drawn through a figure that causes both sides to look identical
46. function
• The x’s don’t repeat!!!
• Passes the vertical line test
• (if you draw a vertical line anywhere on the graph it only touches the graph once)

47. Dependent Variable
(dependent quantity)
• Y
• Variable who’s value DEPENDS on another variable
• (must be an unknown)
• What occurs second

48. Independent Variable
(independent quantity)
• X
• Variable who’s value can be chosen
• If given an equation, it is the variable IN the equation
• (must be an unknown)
• What occurs first

49. Discrete Data
• Data that is disconnected.
• Written as {1, 2, 3, 4, 5}
• Ex: Counting

50. Multiplying Polynomials
Use the box method

51. Rational Exponents
Exponents that are fractions can be rewritten as roots

52. Plotting Points
(x, y)

• 1st - Left or Right
• 2nd - Up or Down

 Author: ccrim7 ID: 134366 Card Set: STAAR Algebra 1 Flash Cards Updated: 2017-04-17 22:11:53 Tags: math vocabulary STAAR Folders: Description: STAAR Algebra 1 Vocabulary Review Show Answers: