100 points
could you write a formal proof of this?
2. given: 2x -4 = 6x - 8 prove: x = 1

step-by-step explanation:

2x - 4 = 6x - 8

8 - 4 = 6x - 2x

4 = 4x

1 = x

hey casatellicater!

hope you're doing great today : )

they want us to prove that x actually equals 1. so let's prove.

if you've ever had to 'check your work' on a worksheet, this is exactly the same! so all we need to do is plug in x for 1!

our equation should look like: 2(1)-4=6(1)-8

i'm sure you know how to solve from there, can you do it? if you struggle just let me know below! : )

check your work with me when you finished solving.

y=mx+b

step-by-step explanation:

m is slope, b is y-intercept

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.