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# Pre-algebra word problems | Lesson

## What are pre-algebra word problems?

Pre-algebra word problems are questions that require translating sentences to expressions, then evaluating those expressions.
The expressions we need to write will involve numbers and operations, but no variables.

### What skills are tested?

• Solving real world problems by identifying relevant numbers and operations
• Identifying contexts where the answer must be rounded up or down

## How do we solve pre-algebra word problems?

Solving pre-algebra word problems requires us to create expressions and evaluate them.
To solve a pre-algebra word problem:
1. Identify the quantity to be calculated.
2. Determine the operations and numbers needed to calculate the desired quantity.
3. Write and evaluate the expressions to get the desired quantity.
4. If the context requires rounding, round the answer.

TRY: FINDING THE GROUP SIZE
In a classroom, there are $7$ groups of desks, and each group has the same number of desks. The math teacher distributes one calculator to each desk. If out of $37$ calculators all but $2$ are distributed, how many desks are in each group?

TRY: CALCULATING A WEIGHT
When carrying a large backpack and four liters of water, Yogi weighs $225.6$ pounds. If the backpack weighs $55.4$ pounds and the water weighs $8.8$ pounds, what is Yogi's weight without the backpack and the water?

TRY: FINDING THE LEAST NUMBER NEEDED
A florist needs to make $25$ centerpieces for a large wedding reception. Each centerpieces requires $7$ roses. If the florist can only buy roses by the dozen, what is the least number of roses that the florist must buy?

TRY: FINDING AN UNKNOWN SUM
In the figure above, the product of the three numbers in the horizontal row is equal to the sum of the four numbers in the vertical column. What is the value of $x+y$ ?