# What is 8 7 8 4 2

### Insert numbers in a term

Calculate the value of the term for $$ x = 1 $$.

$$ 4 * (x + 2) $$

To do this, you use the value.

$$4*($$ $$+$$ $$2)$$

Now you can calculate the term. Always turn the **Priority rules** at.

$$4*($$ $$+$$ $$2)$$

$$=4*3$$

$$=12$$

Terms are meaningful combinations of numbers, variables and arithmetic symbols.

**Examples:**

$$(5+3)$$

$$ x + 3 $$

$$1/2$$

$$ - 2 * x $$

**Priority rules:**

- Always brackets first
- Point before line calculation
- calculate from left to right

### Calculate terms for multiple values

For different values you calculate the term one after the other.

Calculate the values of the term for $$ x = $$,, and.

$$ 3 * x-4 $$

$$ x = $$: $$ x = $$:

$$3*$$ $$-$$ $$4$$ $$3*$$ $$-$$ $$4$$

$$=2$$ $$=8$$

$$ x = $$: $$ x = $$:

$$3*$$ $$-$$ $$4$$ $$3*$$ $$-$$ $$4$$

$$=23$$ $$=14$$

At **four** You set values **four times** a number for $$ x $$ and do the math **four times** out.

### Calculate terms for negative numbers

You can also use $$ 0 $$ or negative numbers for $$ x $$.

Calculate the values of the term for $$ x = $$,, and.

$$ (x + 2) * 3 $$

$$ x = $$: $$ x = $$:

$$($$ $$+$$ $$2)*3$$ $$($$ $$+$$ $$2)*3$$

$$=6$$ $$=3$$

Make sure you are really counting on the negative number when asked.

$$ x = $$: $$ x = $$:

$$($$ $$+$$ $$2)*3$$ $$($$ $$+$$ $$2)*3$$

$$=-6$$ $$=18$$

Negative numbers do not automatically mean that the result is negative.

The results can be very different if, for example, you calculate with $$ 4 $$ instead of $$ - 4 $$.

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### Share by $$ 0 $$?

You can't divide by zero when calculating terms, either. Dividing by zero is **not possible**.

**Example 1:** Calculate the value of the term for $$ x = 0 $$.

$$ (2: x) * 3 $$

$$(2:$$ $$)*3$$

**not solvable**

You cannot calculate the term for $$ x = 0 $$. You can calculate it for all other numbers.

**Example 2:** Substitute $$ 2 $$ and $$ - 2 $$ for $$ x $$ and calculate the term.

$$ 4: (2 + x) $$

for $$ x = -2 $$ for $$ x = 2 $$

$$4:(2+(-2))$$ $$4:(2+2)$$

$$=4:$$ $$=4:4$$

**not solvable** $$=1$$

You cannot calculate the term for $$ x = -2 $$. For all other values (example $$ x = 2 $$) it works anyway.

When you encounter dividing by zero, write **not solvable** to your bill.

### A variable can appear several times in a term

If a variable occurs several times in a term, put $$ x $$ in each **the same value** a.

Calculate the value of the term for $$ x = $$ and $$ x = $$.

$$ 4 * x + x $$

For $$ x = 2 $$:

$$4*$$ $$+$$ $$=10$$

For $$ x = 3 $$:

$$4*$$ $$+$$ $$=15$$

Even if you are supposed to use several different values for x, you can only ever use the same number.

Wrong: $$ 4 * x + x $$ $$ rarr $$ ~~ 4 · 2 +3 ~~

### Different variables can be in one term

Terms can have multiple variables.

Calculate the value of the term for and.

$$+$$ $$2*$$

For and :

$$+$$ $$2*$$

$$=3+4$$

$$=7$$

Don't swap the values and the variables. If you use the $$ y $$ value for the $$ x $$ value, this usually gives a different result.

Wrong: $$ 2 + 2 * 3 = 8 $$

*kapiert.de*can do more:

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and tests - individual classwork trainer
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