Simplifying Like Terms Practice Problems & Worksheets

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 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: $y = 1$.

To solve the equation $2a + 3a + 45a = 0$, follow these steps:

• Step 1: Combine Like Terms.

Add the coefficients of $a$:

$2 + 3 + 45 = 50$

• Step 2: Substitute and Simplify.

This simplifies the equation to:

$50a = 0$

• Step 3: Solve for $a$.

To find $a$, divide both sides of the equation by 50:

$a = \frac{0}{50}$

$a = 0$

Therefore, the solution to the problem is $a = 0$.

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:

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

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

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):

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

$b=2$