**Elementary School Number Sense Lesson 6: Solving for X (Word Problems)**

Today's concept covers a variety of operations and levels of difficulty, but it is can be handled successfully with careful attention to the details. It has appeared

**9 times**on elementary tests so far this year, with a median placement at

**question # 59**.

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**Number Dojo Level: 205**

I approach these problems with two general steps:

- Translate them into "
**math language**." **Solve for X**like any other algebra problem.

To translate the problems into math language, use the following substitutions:

- "what" or "the number":
**X** - "is" or "equals":
**=** - "more than":
**+** - "less than":
**-**

**Example 1: 8 plus what equals 17? ___**

- Translate this to:
**8 + X = 17** - Subtract 8 from both sides to find that X =
**9**

**Example 2: 26 minus what equals 19? ___**

- Translate this to:
**26 - X = 19** - Subtract 26 from both sides to find that -X = -7, so X =
**7**

**Example 3: If two times a number is four more than the number, what is the number? ___**

- Translate this to:
**2X = 4 + X** - Subtract X from both sides to find that X =
**4**

**Example 4: If three times a number is ten more than twice the number, what is the number? ___**

- Translate this to:
**3X = 10 + 2X** - Subtract 2X from both sides to find that X =
**10**

**Example 5: What number times 4 and subtracted from 45 gives the same result? ___**

- Translate this to:
**4X = 45 - X** - Add X to both sides to find that 5X = 45; X =
**9**

**Up Next for Elementary School: Exponent**