Basic Algebra Worksheets - Free Printable

Let's solve each problem step by step and write the correct algebraic expression for each word problem.

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Problem 1:

There are 12 packets of crisps in a big pack. I buy \( n \) big packs of crisps. How many packets of crisps have I bought?

- Each big pack contains 12 packets.
- You buy \( n \) big packs.
- Total packets = \( 12 \times n \).

Algebraic Expression:
\[
12n
\]

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Problem 2:

There are \( t \) pencils in a pack. I buy 4 packs. How many pencils?

- Each pack contains \( t \) pencils.
- You buy 4 packs.
- Total pencils = \( t \times 4 \).

Algebraic Expression:
\[
4t
\]

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Problem 3:

I have 6 pens. A friend gives me \( n \) more pens. How many pens do I have now?

- You start with 6 pens.
- Your friend gives you \( n \) more pens.
- Total pens = \( 6 + n \).

Algebraic Expression:
\[
6 + n
\]

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Problem 4:

A bag of apples contains 6 apples. I buy \( w \) bags of apples. How many apples have I bought?

- Each bag contains 6 apples.
- You buy \( w \) bags.
- Total apples = \( 6 \times w \).

Algebraic Expression:
\[
6w
\]

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Problem 5:

I have a box of \( d \) chocolates. I eat 7 of them. How many chocolates are left?

- You start with \( d \) chocolates.
- You eat 7 chocolates.
- Chocolates left = \( d - 7 \).

Algebraic Expression:
\[
d - 7
\]

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Problem 6:

The temperature is \( 62^\circ \text{F} \). It gets warmer by \( h \) degrees. What is the temperature now?

- Initial temperature = \( 62^\circ \text{F} \).
- Temperature increase = \( h \) degrees.
- Final temperature = \( 62 + h \).

Algebraic Expression:
\[
62 + h
\]

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Problem 7:

There are 20 balloons at a party. \( y \) balloons are burst. How many balloons are left?

- You start with 20 balloons.
- \( y \) balloons are burst.
- Balloons left = \( 20 - y \).

Algebraic Expression:
\[
20 - y
\]

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Problem 8:

There are \( z \) fish in an aquarium. \( \frac{1}{4} \) of the fish are angelfish. How many fish are angelfish?

- Total fish = \( z \).
- Fraction of angelfish = \( \frac{1}{4} \).
- Number of angelfish = \( \frac{1}{4} \times z \).

Algebraic Expression:
\[
\frac{1}{4}z
\]

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Problem 9:

There are 20 red and blue marbles in a bag. \( s \) marbles are red. How many are blue?

- Total marbles = 20.
- Red marbles = \( s \).
- Blue marbles = Total marbles - Red marbles = \( 20 - s \).

Algebraic Expression:
\[
20 - s
\]

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Problem 10:

In a class of \( c \) children, \( \frac{2}{3} \) have a pet. What fraction don’t have a pet?

- Total children = \( c \).
- Fraction with pets = \( \frac{2}{3} \).
- Fraction without pets = \( 1 - \frac{2}{3} = \frac{1}{3} \).

Algebraic Expression:
\[
\frac{1}{3}
\]

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Problem 11:

There are \( s \) cars in a carpark. How many wheels will they have in total?

- Each car has 4 wheels.
- Total cars = \( s \).
- Total wheels = \( 4 \times s \).

Algebraic Expression:
\[
4s
\]

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Problem 12:

I have \( u \) soft toy salamanders. I get \( v \) more. How many salamanders do I have now?

- You start with \( u \) salamanders.
- You get \( v \) more.
- Total salamanders = \( u + v \).

Algebraic Expression:
\[
u + v
\]

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Final Answer:

\[
\boxed{
\begin{array}{ll}
1) & 12n \\
2) & 4t \\
3) & 6 + n \\
4) & 6w \\
5) & d - 7 \\
6) & 62 + h \\
7) & 20 - y \\
8) & \frac{1}{4}z \\
9) & 20 - s \\
10) & \frac{1}{3} \\
11) & 4s \\
12) & u + v \\
\end{array}
}
\]