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Words to expressions

Algebra 1 ยท 22 problems, easy to harder

โ–ถ Watch the first one solved

How we do it

  1. Change words to math
  2. Put it in order
  3. Check

The steps for Write as an expression: 5 more than a number. Every solution names its steps, so you always know what comes next.

Worked examples

Write as an expression: 5 more than a number Easy

The question

Question: write with math signs: 5 more than a number.

5 more than a number

1 Change words to math

2 Put it in order

We start with a number, then add 5.

So we get n + 5.

= n + 5

3 Check

Let's check with a number.

Say the number is 10.

5 more than 10 is 15.

5 more than 10 is 15

And 10 + 5 is 15 too.

So n + 5 is right!

10 + 5 = 15

Let's look back.

First: change words to math.

Then: put it in order.

Last: check.

Answer
= n + 5

โ–ถ Watch it solved

Twice a number decreased by 3 Medium

The question

Question: write with math signs: twice a number decreased by 3.

twice a number decreased by 3

1 Change words to math

2 Put it in order

So we get 2n โˆ’ 3.

= 2n โˆ’ 3

3 Check

Let's check with a number.

Say the number is 10.

Twice 10 decreased by 3 is 17.

twice 10 decreased by 3 is 17

And 2(10) โˆ’ 3 is 17 too.

So 2n โˆ’ 3 is right!

2(10) โˆ’ 3 = 17

Let's look back.

First: change words to math.

Then: put it in order.

Last: check.

Answer
= 2n โˆ’ 3

โ–ถ Watch it solved

3 times the sum of a number and 2 Harder

The question

Question: write with math signs: 3 times the sum of a number and 2.

3 times the sum of a number and 2

1 Change words to math

2 Put it in order

The sum is one amount, so it goes in brackets.

3 ร— (n + 2) is written 3(n + 2): the number goes in front, with no ร— sign.

So we get 3(n + 2).

= 3(n + 2)

3 Check

Let's check with a number.

Say the number is 10.

3 times the sum of 10 and 2 is 36.

3 times the sum of 10 and 2 is 36

And 3(10 + 2) is 36 too.

So 3(n + 2) is right!

3(10 + 2) = 36

Let's look back.

First: change words to math.

Then: put it in order.

Last: check.

Answer
= 3(n + 2)

โ–ถ Watch it solved

Practice

Try each one, then open the answer. Stuck? Open the problem to watch every step.

Easy

  1. 5 more than a number
    Answer
    = n + 5
  2. 7 less than a number
    Answer
    = n โˆ’ 7
  3. a number increased by 9
    Answer
    = n + 9
  4. a number decreased by 4
    Answer
    = n โˆ’ 4
  5. 3 times a number
    Answer
    = 3n
  6. the product of 6 and a number
    Answer
    = 6n
  7. the quotient of a number and 5
    Answer
    = n5
  8. a number divided by 3
    Answer
    = n3
  9. a number times 8
    Answer
    = 8n
  10. the sum of a number and 11
    Answer
    = n + 11

Medium

  1. twice a number decreased by 3
    Answer
    = 2n โˆ’ 3
  2. 4 more than triple a number
    Answer
    = 3n + 4
  3. 10 less than double a number
    Answer
    = 2n โˆ’ 10
  4. the difference of a number and 2
    Answer
    = n โˆ’ 2
  5. 3 subtracted from a number
    Answer
    = n โˆ’ 3
  6. the square of a number plus 5
    Answer
    = n2 + 5
  7. 8 added to half of a number
    Answer
    = n2 + 8
  8. a number divided by 4 plus 6
    Answer
    = n4 + 6

Harder

  1. 3 times the sum of a number and 2
    Answer
    = 3(n + 2)
  2. the product of 5 and the difference of a number and 1
    Answer
    = 5(n โˆ’ 1)
  3. the quotient of the sum of a number and 3 and 2
    Answer
    = n + 32
  4. twice the square of a number minus 7
    Answer
    = 2n2 โˆ’ 7