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Math

Math Snap

PROBLEM

Denise has 4 more pens than 2 times the number of pens in a box. Write an expression for the number of pens Denise has, where p\mathrm{p} is the number of pens in a box.

STEP 1

Assumptions
1. There are p\mathrm{p} pens in one box.
2. Denise has 4 more pens than what is contained in 2 boxes.

STEP 2

First, we need to express the number of pens in 2 boxes. Since there are p\mathrm{p} pens in one box, there will be 2p2\mathrm{p} pens in two boxes.
Pens in 2 boxes=2×Number of pens in one box\text{Pens in 2 boxes} = 2 \times \text{Number of pens in one box}

STEP 3

Now, we write the expression for the number of pens in 2 boxes using the given value p\mathrm{p}.
Pens in 2 boxes=2p\text{Pens in 2 boxes} = 2\mathrm{p}

STEP 4

Next, we need to express how many pens Denise has. According to the problem, Denise has 4 more pens than what is in 2 boxes.
Denise’s pens=Pens in 2 boxes+4\text{Denise's pens} = \text{Pens in 2 boxes} + 4

STEP 5

Now, we substitute the expression for the number of pens in 2 boxes into the expression for Denise's pens.
Denise’s pens=2p+4\text{Denise's pens} = 2\mathrm{p} + 4

SOLUTION

The algebraic expression for how many pens Denise has is therefore:
Denise’s pens=2p+4\text{Denise's pens} = 2\mathrm{p} + 4 This is the final expression representing the number of pens Denise has.

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