# data[].attributes.headline
Proportional Reasoning and Linear Equations Grade - 95%

# data[].attributes.subject
Proportional Reasoning and Linear Equations Grade - 95%

# data[].attributes.body
- Slope values are missing from the question.  It should not be coordinates or equation examples.  Positive value example would be 4/5 or 6.

# data[].attributes.body
indirect-measurement
Definiton: A way to find an unknown length or distance using proportions in similar figures
This shows an example of indirect measurement

# data[].attributes.body
http://study.com/academy/lesson/what-is-a-scale-factor-definition-formula-examples.html
Definition: The number which multiplies, or scales, a quantity.
The picture shows an example of solving for scale factor

# data[].attributes.body
proportion.html
Definition: roportion says that two ratios (or fractions) are equal.
These are proportionate trapezoids.

# data[].attributes.headline
What has too be true for 2 figures too be considered similar?

# data[].attributes.subject
What has too be true for 2 figures too be considered similar?

# data[].attributes.body
They must be different sizes but the same shape, have congruent corresponding angles, have proportional corresponding sides.

# data[].attributes.headline
What are the different parts in a linear equation

# data[].attributes.subject
What are the different parts in a linear equation

# data[].attributes.body
y=mx+b
Y equals the y coordinate. X equals the x coordinate
M equals the constant or slope
B equals the y intercept

# data[].attributes.body
1. Positive
2. Negative
3. Undefined
4. Zero
Positive: -4,3  and 1,5
Negative: 0,6 and 3,3
Undefined x=-3
Zero: y=4

# data[].attributes.body
http://www.mathsisfun.com/measure/unit-price.html

Definition: a comparison of two measurements in which
one of the terms has a value of 1.

This shows an example of unit rate

# data[].attributes.body
- Missing an example for the question.
- Example statements should match the number lines.

# data[].attributes.body
Definition: the set of all the solutions of an equation or condition.

(x−3)(x−2) = 0
When x is three:
(3−3)(3−2) = 0 × 1 = 0
When x is 2:
(2−3)(2−2) = (−1) × 0 = 0
The solution set:
x=3 x=2

equations-solving.html

# data[].attributes.body
Definition: the relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”
Example of the word: 7835<9862. This has an inequality sign in it, so the 2 expressions new not equal.
Non-Example:
6+5=11
This would not be an example because this does not show 2 expressions that aren't equal. This is an addition problem.

Solving Inequalities - Math is Fun
Shows you how to solve inequality

# data[].attributes.body
Maximum
No more than
Smaller than or equal too

Example: The maximum amount of cookies you could have was 10
x≤4

# data[].attributes.body
Minimum
No less than
No fewer than

Example: Jacob has to have a minimum of 5 points too win a prize
x ≥ 4

# data[].attributes.body
Bigger
Above
More than

Example:
Robert has more than 3 oranges

# data[].attributes.body
Smaller
Fewer than
Below

Example: Roxanne had fewer than 2 pet ducks

x<4

# data[].attributes.body
Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign

# data[].attributes.body
- Example solution for solving a 2 step equation is missing.
- An example of the square root of 30 would be an example you could use.  30 falls between the 2 perfect squares of 25 and 36.  There for the estimated answer would be about 5.5.

# data[].attributes.body
Definition: The square root of a number is a value that, when multiplied by itself, gives the number.

Example: 4 × 4 = 16, so a square root of 16 is 4.

Note that (−4) × (−4) = 16 too, so −4 is also a square root of 16.
https://www.mathsisfun.com/definitions/square-root.html

# data[].attributes.body
Definition: A decimal number that has digits that repeat forever.

Examples:

1/3 = 0.333... (the 3 repeats forever)
1/7 = 0.142857142857... ( the "142857" repeats forever)
77/600 = 0.128333... (the 3 repeats forever)

The part that repeats is usually shown by placing dots over the first and last digits of the repeating pattern, or sometimes a line over the pattern.

https://www.mathsisfun.com/definitions/recurring-decimal.html

# data[].attributes.body
Definition: What you add to a number to get zero.
The negative of a number.

Example:
The additive inverse of −5 is 5, because −5 + 5 = 0.
The additive inverse of +5 is −5 as well.
https://www.mathsisfun.com/definitions/additive-inverse.html

# data[].attributes.body
Definition: The cube root of a number is a special value that, when used in a multiplication three times, gives that number.

Example: 3 × 3 × 3 = 27, so the cube root of 27 is 3

https://www.mathsisfun.com/definitions/cube-root.html

# data[].attributes.headline
How to estimate the square root of a number

# data[].attributes.subject
How to estimate the square root of a number

# data[].attributes.body
Many mathematical operations have an inverse, or opposite, operation. Subtraction is the opposite of addition, division is the inverse of multiplication, and so on. Squaring, which we learned about in a previous lesson (exponents), has an inverse too, called "finding the square root." Remember, the square of a number is that number times itself. The perfect squares are the squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100

16=4 since 4 to the second power equals 16

# data[].attributes.body
1.Simplify using the inverse of addition or subtraction.

2.Simplify further by using the inverse of multiplication or division
http://www.math.com/school/subject2/images/S2U3L6GLeq1.gif

# data[].attributes.body
- Examples are needed when giving an example for a term.

# data[].attributes.body
Equivalent fractions are different fractions that name the same number

example: 2/3 = 4/6

https://www.mathsisfun.com/equivalent_fractions.html

# data[].attributes.body
A fraction in which the numerator is greater than the denominator.

Example: 9/7

https://www.mathsisfun.com/definitions/improper-fraction.html

# data[].attributes.body
A number consisting of an integer and a proper fraction.

Example:
7/4= 1 3/4
because four goes into seven once and the remainder would be the numerator

https://www.mathsisfun.com/mixed-fractions.html

# data[].attributes.body
Definition:
a shared multiple of the denominators of several fractions.

1/3+5/9=
3/9+5/9= 8/9

https://www.mathsisfun.com/definitions/common-denominator.html

# data[].attributes.body
If the divisor is not a whole number, move decimal point to right to make it a whole number and move decimal point in dividend the same number of places.
Then divide.
Then move  the decimal back the same amount of places that you moved it.

Example:  12 / .4 ----->
12 / 4.= 3
.3 <-----

# data[].attributes.body
1. Line up the numbers on the right - do not align the decimal points.

2. Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.

3. Add the products.

Example:
3.77
x    2.8
_________
3016
+754
__________
10.556

# data[].attributes.body
Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.

Step 2: Multiply both top and bottom by that number.

Step 3. Then write down just the top number, putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom number)

example:
3/4= .75

# data[].attributes.body
In order to convert a decimal to a fraction you must you use the decimal as the numerator and then use the place of the decimal as the denominator.

Example:
.34 would be 34/100

It would become that because the decimal is Thirty Four Hundredths . So the actual number would be the numerator and the place value would be the denominator.

# data[].attributes.body
- Missing question 2

# data[].attributes.body
When adding negatives and positives if they do not have the same sign subtract the number with the smaller absoulute value from the one with the greater absolute value. Then take the larger absoulute values, sign.

# data[].attributes.body
When subtracting two negative numbers, you have to change the negative interger to a positive interger. If you subtract a positive from a negative you have to go backwards from the amount you're subtracting. To subtract a negative number from a positive you add the opposites and do the addition correctly.

# data[].attributes.body
(of a quantity) able to assume different numerical values.

4x+3
x=variable

https://www.mathsisfun.com/algebra/definitions.html

# data[].attributes.body
The distributive property is one of the most frequently used properties in math

(2) (3+4+5) =24

http://www.mathsisfun.com/definitions/distributive-law.html

# data[].attributes.body
a whole number; a number that is not a fraction
1+5= 6
://www.mathsisfun.com/whole-numbers.html

# data[].attributes.body
the magnitude of a real number without regard to its sign
|-7|=7

www.mathsisfun.com/numbers/absolute-value.html