Here are the algebraic expressions for each sentence on the worksheet.
1) Peter has 100 dollars. His mother gives him x dollars more. How many dollars does he have now?
* Start with 100.
* Add $x$ because he received more money.
* Expression:
$100 + x$
2) Maria has c boxes of 10 pencils. The teacher gives her another 20 pencils. How many pencils does she have altogether?
* First, find out how many pencils are in the boxes: $c$ boxes times 10 pencils is $10c$.
* Add the 20 extra pencils from the teacher.
* Expression:
$10c + 20$
3) John bought z hamburgers at \$3 each and paid with a 20 dollar note. How much change did he get?
* Find the total cost: $z$ hamburgers times \$3 is $3z$.
* Subtract the cost from the amount paid (\$20).
* Expression:
$20 - 3z$
4) I have 200 marbles and divide them among t girls. How many marbles will each girl get?
* "Divide among" means division.
* Take the total marbles (200) and divide by the number of girls ($t$).
* Expression:
$\frac{200}{t}$ (or $200 \div t$)
5) Peter is x years old. His dad is 4 times older than him. How old is his dad?
* "Times older" means multiplication.
* Multiply Peter's age ($x$) by 4.
* Expression:
$4x$
6) John earns x dollars per hour. Petra earn 2 dollars per hour more than him. How much do they earn altogether per hour?
* John earns: $x$
* Petra earns: $x + 2$
* Altogether means adding them up: $x + (x + 2)$
* Combine the $x$'s: $x + x = 2x$
* Expression:
$2x + 2$
7) I have 3 boxes of x paperclips. If I use 100 paperclips, how many of them will I have left?
* First, find the total number of paperclips: 3 boxes times $x$ clips is $3x$.
* Subtract the 100 clips that were used.
* Expression:
$3x - 100$
8) Indy has x erasers and y pencils. How many erasers and pencils does Indy have?
* "And" usually means addition when finding a total count of items.
* Add the erasers ($x$) and the pencils ($y$).
* Expression:
$x + y$
Final Answer:
1) $100 + x$
2) $10c + 20$
3) $20 - 3z$
4) $\frac{200}{t}$
5) $4x$
6) $2x + 2$
7) $3x - 100$
8) $x + y$
Parent Tip: Review the logic above to help your child master the concept of writing expressions worksheet.
