The expression `5x-2y+6x-3y` is represented on the picture to the left.
Drag the terms into two groups, x terms in Group 1 and y terms in Group 2.
THEN write the simplified expression by combining like terms.
*Make sure to write your x terms first and then your y terms second. Do not use spaces.
Group 1: 5x, 6x
Group 2: -2y, -3y
Simplified expression: 11x - 5y
To drag the terms into two groups, we need to identify which terms have variables with x and which terms have variables with y. Looking at the expression `5x-2y+6x-3y`, we can see that the terms `5x` and `6x` have variables with x, and the terms `-2y` and `-3y` have variables with y.
So, let's group the terms accordingly:
Group 1: `5x` and `6x`
Group 2: `-2y` and `-3y`
Now, let's write the simplified expression by combining like terms.
Combining the x terms, we have `5x+6x`.
Combining the y terms, we have `-2y-3y`.
Writing the x terms before the y terms, the simplified expression is `11x-5y`.
To solve this problem, we need to identify the x terms and the y terms in the expression `5x-2y+6x-3y`.
Step 1: Identify the x terms.
The x terms in this expression are `5x` and `6x`.
Step 2: Identify the y terms.
The y terms in this expression are `-2y` and `-3y`.
Now that we have identified the x terms and y terms, let's group them.
Group 1 (x terms): `5x` and `6x`
Group 2 (y terms): `-2y` and `-3y`
Next, let's simplify the expression by combining the like terms.
In Group 1, 5x and 6x are like terms, so we can combine them by adding their coefficients: 5 + 6 = 11. Therefore, the x terms simplify to 11x.
In Group 2, -2y and -3y are like terms, so we can combine them by adding their coefficients: -2 + (-3) = -5. Therefore, the y terms simplify to -5y.
Now, let's write the simplified expression by combining the like terms.
The simplified expression is: 11x - 5y.
The expression −5a+3b+16−20−9b is represented on the picture to the left.
Drag the terms into three groups, a terms in Group 1, b terms in Group 2, and constant terms in Group 3
THEN write the simplified expression by combining like terms.
*Make sure to write your a terms first, b terms second, and constant term last! Do not use spaces.
Group 1: -5a
Group 2: 3b, -9b
Group 3: 16, -20
Simplified expression: -5a - 6b - 4
The expression `-4x+11-2x^{2}+8x^{2}-12x` is represented on the picture to the left.
Drag the terms into three groups, `x^{2}` terms in Group 1, x terms in Group 2, and constant terms in Group 3
THEN write the simplified expression by combining like terms.
*Make sure to write your `x^{2}` terms first, `x` terms seco
nd, and constant terms last! Do not use spaces.
Group 1: -2x^2, 8x^2
Group 2: -4x, -12x
Group 3: 11
Simplified expression: 6x^2 - 16x + 11