Question

Which model represents the equation below? Negative 4 x + (negative 2) = 3 x + (negative 5) 3 x tiles, 1 negative x tile, and 2 negative 1 tiles = 3 x tiles, 3 positive 1 tiles, and 2 negative 1 tiles 4 x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles 4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles 4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 positive 1 tiles

Answer 1

C

Explanation:

Answer 2

4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles

Explanation:

Given the equation
`-4x + (-2) = 3x+(-5)`, we are to evaluate by finding x

open the parenthesis

`-4x -2 = 3x-5`

collect like terms

`-4x-3x = -5+2\\-7x = -3`

Find the value of x

`(-7x)/(-7) = (-3)/(-7)\\ x = (3)/(7)`

Expressing the function in terms of tiles will give 4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles

Note that each terms of the expression were written in tems of tiles. The value with no variables (the constants) are all multiplied with 1 tiles each while those with x variables are multiplied by x tiles based on the sign (whether positive or negative)