Simplifying Like Terms Practice Problems & Worksheets

First we will move terms so that -b remains remains on the left side of the equation.

We'll move 8 to the right-hand side, making sure to retain the plus and minus signs accordingly:

$-b=6-8$

Then we will subtract as follows:

$-b=-2$

Finally, we will divide both sides by -1 (be careful with the plus and minus signs when dividing by a negative):

$\frac{-b}{-1}=\frac{-2}{-1}$

$b=2$

Let's solve the equation $-16 + a = -17$ by isolating the variable $a$.

To isolate $a$, add 16 to both sides of the equation to cancel out the $-16$:

$-16 + a + 16 = -17 + 16$

This simplification results in:

$a = -1$

Thus, the solution to the equation $-16 + a = -17$ is $a = -1$.

If we review the answer choices given, the correct answer is Choice 4, $-1$.

The solution to the problem is $a = -1$.

To solve the equation $x + x = 8$, follow these steps:

• Step 1: Combine like terms. Since the left side of the equation is $x + x$, it can be simplified to $2x$. This gives us the equation $2x = 8$.
• Step 2: Solve for $x$ by isolating it. Divide both sides of the equation by 2 to get $x$.
• Performing the division gives $x = \frac{8}{2}$.
• Step 3: Calculate the result of the division. $\frac{8}{2} = 4$.

Therefore, the solution to the equation is $x = 4$.

To solve this equation, we'll follow these steps:

• Step 1: Combine like terms.
• Step 2: Simplify and isolate the variable.
• Step 3: Solve for the variable.

Let's address each step in detail:
Step 1: Combine the like terms on the left side of the equation.
The original equation is: $2 + 4y - 2y = 4$ Combine the terms involving $y$:
$4y - 2y = 2y$ The equation now becomes:
$2 + 2y = 4$ Step 2: Simplify the equation to isolate $2y$.
Subtract 2 from both sides to begin the process of isolating $y$:
$2y = 4 - 2$ Simplify the right side:
$2y = 2$ Step 3: Solve for $y$ by dividing both sides by 2:
$y = \frac{2}{2}$ This simplifies to:
$y = 1$ Thus, the solution to the equation is: $y = 1$.

Let's combine all the x terms together:

$7x+4x+5x=11x+5x=16x$

The resulting equation is:

$16x=0$

Now let's divide both sides by 16:

$\frac{16x}{16}=\frac{0}{16}$

$x=\frac{0}{16}=0$