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Flashcards in scramble test questions Deck (64)
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1

What are the three forms of a quadratic function? GIVE NAMES AND EXAMPLES

standard y=ax2+bx+c
vertex y=a(x-h)2+k
factored y=a(x-r)(x-r)

2

What are the three forms of a linear function? GIVE NAMES AND EXAMPLES

standard: Ax+By=C
point slope: y-y=m(x-x)
slope intercept: y=mx+b

3

what does y=-x look like

a diagonal going from upper right down to lower left, through origin

4

When you graph a line, what are you actually graphing?

THE SOLUTION! Those are all of the points that make the equation true. All of the points that "work". If you put any other pionts, (x,y) into the equation, they wont work, You will get a false statement.

5

what is the slope of a line that goes straight up and down?

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6

f(x) = ax2 + bx + c What is the quadratic term?

ax2

7

What is the gradient of a line?

the slope, the steepness

8

How do you show that a point lies on a line?

Show that, when you plug the point in, you get a true mathematical statement.

9

Explain what a parabola with two real roots (real zeros) looks like.

crosses x axis at those roots, at those x values

10

When is there just one solution to simultaneous equations?

when they cross (at one point)

11

f(x)= 3x - 9 What is a, b and c?

a = 0 , b = 3, c = 9..There is no quadratic term.. THIS IS LINEAR!!! IT'S A LINE!slope of

12

When is there and infinite number of solutions to simultaneous equations?

when they are the same line, then all points on the line satisfy both equations

13

How can you tell if the point (5, -3) is a solution to a linear equation?

If it "works." Sub 5 in for the X and -3 in for the Y. Simplify. If the statement is true, then it is a solution. If it is a solution, then it is on the line.

14

what is the quadratic term's exponent on the x ?

2

15

one out of twenty is ____ or _____%

0.05 or 5%

16

f(x)= 2(x+4)2-3 What is vertex and which way does it open?

at (-4, -3) and it opens upwards (has min)

17

What is the symbol that joins two sets together into one set?

A big U , stands for UNION

18

What are the x intercepts of a function? (other names?)

the roots, the zeros, the solutions

19

change the probability of 1/8 to a decimal and a percent

0.125 or 12.5%

20

Describe what an axis of symmetry is

it is where the parabola can fold onto itself. It is the equation of this vertical line, so you write "x = ___"(-b/2a)

21

What is the zero product property?

(this)(that)=0 is true when (this)=0 and when (that)=0. this is what we use when solving by factoring.

22

where is the vertex located?

on the axis of symmetry (highest or lowest point).

23

What are the zeros of y=5(x-3)(2x+1)

The zeros, or roots, or x intercepts are at(3, 0) and (-1/2, 0)

24

how would you solve (3x-2)(x-5)=0 (what are solutions?)

set factors = 0 and solve: 3x-2=0 and solve x-5=0 zero product property. The solutions are x = { 5, 2/3}

25

What is the eqution of a horizontal line that goes througyh the y axis at 8? How can you think about it to help you?

y = 8. Since y is the height, you can think of it as all of the points that have a height of 8. Also, you can think of it as all of the points that have a y value of 8, so you are a solution if your y value is 8.

26

Perpendicular lines have _____ gradients, or slopes

OPPOSITE SIGN AND RECIPROCAL

27

How could simultaneous equations have exactly two solutions?

Imagine a line and a parabola. the line could cross the parabola twice.

28

What is the gradient of a vertical line?

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29

How do you find the midpoint between two given points?

the X value is the average of the two x values, and the Y value is the average of the two y values.

30

the number 5/0 is equal to :

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