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Math and Arithmetic

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Maddison Thiel

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Cards in this guide (22)
You need to cover 512 square feet with two coats of paint if a 1 gallon can of paint covers 220 square feet how many 1 gallon cans of paint do you need

you will need 5 cans of paint.

How do write an equation of a line when given the slope a point of the line

if a line has a slope of -2 and a point on the line has coordinates of (3, -5) write an equation for the line in point slope form

What is 6x plus 3y-2x-5y

4x-2y

What is the slope of the line that passes through these points 3-0 8-0

The slope is zero.

What is the equation that represents the line perpendicular to 2y equals 5x - 4 if the y-intercept is b equals -3

Convert the equation 2y = 5x - 4 into standard form then y = 2.5x - 2.

Two straight lines are perpendicular if the product of their gradients is -1.

Let the equation of the perpendicular line by y = mx + b. Then, 2.5m = -1 : m = -1/2.5

The y intercept occurs when x = 0. Then -3 = 0 + bc : b = -3

The equation of the perpendicular line is y = -1/2.5x -3 or 5y = -2x -15

Is point 1 4 on the line represented by the equation x plus 2y equals 5

Point (1,4) is NOT on the line x + 2y = 5

Type the equation that shows the pattern among this set of ordered pairs 0 -5 1 0 2 5 3 10 use y equals mx plus b form

Ordered pairs are not specified.

if it is like (0,5),(0,1),(0,0),.... then we may find the answer, which then shows the family of different lines according to ordered pairs.

What type of graph shows a direct relationship between variables

type the equation that shows the relationship between the variables in this chart.

Simplifying rational expressions 6x-5y plus -3x-4y

(6x - 5y) + (-3x - 4y) =

6x - 5y - 3x - 4y =

3x - 9y =

3 (x - 3y)

Use addition or substitution to find the value of x for this set of equations for x - y equals 120 x plus y equals 150

X = 135 and y = 15

Solved by addition and substitution

What is the quadrant of a ordered pair that has a negative x coordinate and a positive y coordinate

An ordered pair that has a negative x-coordinate and a positive y-coordinate (-,+) would be plotted in which quadrant?

Which type of lines pass through the points 5 5 7 1 and 5 5 8 4 on a grid

neither

If y varies directly as x what is the value of y in these ordered pairs

(4,1) and (20, y)

What type of lines are these 3x - 2y equals -2 and 6x - 4y equals 0

They are parallel straight lines,

How many lines can pass through 2 points

1

Is x 9 an expression or equation

Expression.

Does y vary directly as x in this function y equals x plus 2

No.

What type of lines are these y 2x and y 2x -1

As stated these are not lines, but just a collection of algebraic terms. If we change them to y=2x and y=2x-1, then on a graph of y versus x, these are parallel lines separated by vertical distance of 1.

Is point 1 2 on the line represented by the equation x 2y 5

If you mean x+2y = 5 then yes

What is -2x plus 2y equals 4

-2x + 2y = 4 is equivalent to twice -2 + y = 2 which is the equation of a straight line.

Which type of lines pass through points (-5 -3) (-3 3) and (7 9) (5 3) on a grid

From a rough sketch they appear to be parallel lines but for a more accurate answer plot the points on the Cartesian plane

if f(x)=3x^2-2x+4 and g(x)=5x^2+6x-8 find (f+g)(x)

(f+g)(x)=8x^2+4x-4

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