Expressions using Letter-Numbers

Add 3 to Aftab’s age: s=a+3.

For a=18, s=18+3; for a=23, s=23+3.

Subtract 3 from Shabnam’s age: a=s−3.

Substitute s=20.

Multiply the number of Ls by 2.

Cost=35c+60j.

For 8 coconuts and 9 kg: 35×8+60×9.

For 7 coconuts and 4 kg: 35×7+60×4.

Count the equal sides in each shape.

Multiply that count by a.

Add the two lengths.

Multiply each note count by its denomination.

Add the three values.

Starting time is paid once: 10 seconds.

Grinding time is 8y seconds.

Translate “more” as addition and “less than” as subtraction after the stated amount.

For 8x+3y, combine two purchases with different prices.

For 15j−2k, start with a repeated production amount and subtract losses.

Dates change by 1 horizontally and by 7 vertically.

Move from w left/right and one week up.

Do multiplication and brackets first.

For addition and subtraction, regroup convenient positive and negative terms.

Every term is 4 times its position.

Replace each letter with its given number.

Multiply before adding.

Substitute first, keeping the brackets and signs.

Evaluate multiplication and then addition/subtraction.

Collect coefficients of p and q separately.

When removing a bracket preceded by minus, reverse both signs inside.

Remove brackets carefully, then combine coefficients.

Group the two lengths and two breadths.

Pencils: (5+3+10)c=18c.

Erasers: (4+6+1)d=11d.

Whole width 4+3=7 gives area 7v; small areas give 4v+3v.

For the second, subtract the 4n strip from 12n.

Net chair cost: (40−6)x.

Net table cost: (75−10)y.

Substitute p=4,q=1 in each round.

Combine like terms for the total, then subtract.

Distribute the multiplier across terms inside brackets.

Use a value such as u=2 to test whether two expressions are identical.

Collect like terms within each picture.

For the first, terms are 5y,x,x,5y,−6,2.

For the other arrays, count each repeated symbol.

Count each separated addend or subtrahend as a term.

Check examples with and without a constant term.

Distribute any outside factor.

For a minus before parentheses, change every sign inside.

Combine like terms only.

Write the rule as 2a−b.

Substitute each ordered pair, keeping the first number as a and the second as b.

Test a+b−2 on each first-machine pair.

Test ab+1 on each second-machine pair.

Substitute the final symbolic inputs.

Choose an easy rule, such as adding the inputs and then adding 1.

Use different input pairs and apply the same rule each time.

C occurs at multiples of 3; B is one less; A is two less.

Use the remainder after division by 3.

Let the upper-left date be a.

The block is a, a+1, a+7, a+8.

Both diagonal sums simplify to 2a+8.

The dates above, below, left and right are a−7, a+7, a−1 and a+1.

Add these and the centre a.

Start with 3 sticks.

There are y−1 increases of 2 sticks.

Use 3+2(y−1)=2y+1.

Add the two orientation counts.

Multiply each price by its own quantity.

Each group is already a count of customers.

Add the three disjoint groups once each.

One day-night cycle changes position by u−d.

Multiply the change by 10 cycles.

Daily distances are 5, 5+z, 5+2z.

Each applies for seven days.

Apply each operation in the arrow’s order.

For multiplication, put parentheses around the entire current expression.

There are four travel intervals and three stops.

Total=4t+3(2).

Substitute t=4.

Expand brackets, reversing signs after a leading minus.

Collect coefficients of matching variables and constants.

Remove parentheses and add coefficients of like terms.

Write (second)−(first).

Distribute the minus sign across every term of the expression being subtracted.

Collect like terms.

Rope pieces follow the pattern folds+2.

For squares, the first needs 4 sticks and each added square shares one side, adding 3.

Use the remainder modulo 4.

Red is first; green is third; yellow occupies the even positions.

Square count=5+4(y−1)=4y+1.

Use the pattern’s vertex-count rule: 16y+4.

Each row contains four consecutive numbers, so use 4(r−1)+c.

Divide by 4; a remainder 0 means column 4 of that quotient row.

Check the first rows to see the repeating column pattern.