Worksheet: Writing Addition and Subtraction Expressions

In this worksheet, we will practice writing an algebraic expression representing a situation and interpreting different statements using addition and subtraction operations.

Q1:

Write an expression for a number 𝑦 increased by 12.

  • A 𝑦 βˆ’ 1 2
  • B 1 2 βˆ’ 𝑦
  • C 1 2 𝑦
  • D 𝑦 + 1 2
  • E 1 2 𝑦 + 1 2

Q2:

Write an expression that represents subtracting 12 from 𝑦 .

  • A 𝑦 + 1 2
  • B 1 2 βˆ’ 𝑦
  • C 1 2 𝑦
  • D 𝑦 βˆ’ 1 2
  • E 1 2 𝑦 βˆ’ 1 2

Q3:

Write the expression that means β€œSubtract 14 from π‘Œ .”

  • A π‘Œ Γ· 1 4
  • B 1 4 βˆ’ π‘Œ
  • C 1 4 Γ· π‘Œ
  • D π‘Œ βˆ’ 1 4

Q4:

Evaluate 𝑦 βˆ’ 4 , given that 𝑦 = 9 .

Q5:

Amelia read a novel for π‘₯ minutes on Tuesday, for the same duration on Thursday, and for 20 minutes on Saturday. Write an expression in the simplest form that represents the total number of minutes she spent reading.

  • A 2 π‘₯ βˆ’ 2 0
  • B π‘₯ + 2 0
  • C π‘₯ βˆ’ 2 0
  • D 2 π‘₯ + 2 0
  • E 2 π‘₯ + 4 0

Q6:

Emma is π‘š years old, and her sibling is 9 yearsyounger. Write an expression in the simplest form that represents the sum of their ages.

  • A 2 π‘š + 9
  • B π‘š + 9
  • C π‘š βˆ’ 9
  • D 2 π‘š βˆ’ 9
  • E 2 π‘š + 1 8

Q7:

The sum of two numbers is 8. Given that one of them is π‘₯ , write an expression in terms of π‘₯ for the other one.

  • A 8 π‘₯
  • B π‘₯ + 8
  • C π‘₯ 8
  • D 8 βˆ’ π‘₯

Q8:

Which of the following expressions represents subtracting 𝑦 from 5?

  • A 𝑦 βˆ’ 5
  • B 5 𝑦
  • C 5 𝑦 βˆ’ 𝑦
  • D 5 βˆ’ 𝑦
  • E 5 βˆ’ 5 𝑦

Q9:

Which of the following expressions was used to fill the values in the table below?

Position 1 2 3 𝑛
Value of Term 2 7 12 ?
  • A 5 𝑛
  • B 5 𝑛 + 3
  • C 3 𝑛 βˆ’ 5
  • D 5 𝑛 βˆ’ 3
  • E 3 𝑛 + 5

Q10:

In the diagram at the top, the number represented by the blue box is π‘Ž + 𝑏 βˆ’ 𝑐 .

Find the expression in terms of π‘Ž , 𝑏 , and 𝑐 for 𝐼 , 𝐼 𝐼 , and 𝐼 𝐼 𝐼 as described by the diagrams.

  • A 𝐼 = 𝑏 + π‘Ž βˆ’ 𝑐 , 𝐼 𝐼 = 𝑏 βˆ’ π‘Ž + 𝑐 , 𝐼 𝐼 𝐼 = 𝑏 + 𝑐 + π‘Ž
  • B 𝐼 = 𝑏 + π‘Ž βˆ’ 𝑐 , 𝐼 𝐼 = 𝑏 βˆ’ π‘Ž + 𝑐 , 𝐼 𝐼 𝐼 = 𝑏 βˆ’ 𝑐 + π‘Ž
  • C 𝐼 = 𝑏 βˆ’ π‘Ž βˆ’ 𝑐 , 𝐼 𝐼 = π‘Ž βˆ’ 𝑏 βˆ’ 𝑐 , 𝐼 𝐼 𝐼 = 𝑐 βˆ’ 𝑏 βˆ’ π‘Ž
  • D 𝐼 = 𝑏 + π‘Ž βˆ’ 𝑐 , 𝐼 𝐼 = π‘Ž βˆ’ 𝑐 + 𝑏 , 𝐼 𝐼 𝐼 = 𝑏 βˆ’ 𝑐 + π‘Ž
  • E 𝐼 = 𝑏 βˆ’ π‘Ž + 𝑐 , 𝐼 𝐼 = π‘Ž βˆ’ 𝑏 + 𝑐 , 𝐼 𝐼 𝐼 = 𝑐 βˆ’ 𝑏 + π‘Ž

Are these expressions equal?

  • AYes
  • BNo

Q11:

The current ages of two people are 𝑦 and 𝑐 . What was the sum of their ages 7 years ago?

  • A 𝑦 + 𝑐 + 1 4
  • B 𝑦 + 𝑐 βˆ’ 7
  • C 𝑦 + 𝑐 + 7
  • D 𝑦 + 𝑐 βˆ’ 1 4

Q12:

Sarah has 11 LE. If Mona has π‘₯ L E less than Sarah, how much does she have?

  • A ( π‘₯ + 1 1 ) L E
  • B ( π‘₯ βˆ’ 1 1 ) L E
  • C ( 1 1 π‘₯ ) L E
  • D ( 1 1 βˆ’ π‘₯ ) L E
  • E ( 1 1 Γ· π‘₯ ) L E

Q13:

Write an expression that represents the length of 𝐴 𝐡 in the given figure.

  • A π‘₯ 𝑦
  • B 4 2 π‘₯ 𝑦
  • C 1 3 π‘₯ 𝑦
  • D 7 π‘₯ + 6 𝑦

Q14:

The table shows the total medal counts for different countries in the 2006 Winter Olympics. Find an expression that represents the total number of medals earned by all the countries listed in the table.

Country Germany United States Canada Austria Russia Norway
Number of Medals 29 25 π‘₯ 23 22 19
  • A π‘₯ βˆ’ 1 1 8
  • B 1 1 8 βˆ’ π‘₯
  • C 2 π‘₯ + 1 1 8
  • D 1 1 8 + π‘₯
  • E 1 1 8 βˆ’ 2 π‘₯

Q15:

Given two successive odd numbers, where the smaller one is 𝑐 + 9 , write an expression for the larger one.

  • A 𝑐
  • B 𝑐 + 8
  • C 𝑐 βˆ’ 9
  • D 𝑐 + 1 1
  • E 𝑐 βˆ’ 1 1

Q16:

In a two-digit number, the units digit is 𝑝 , and the tens digit is π‘ž . Write an expression in terms of 𝑝 and π‘ž for the value of the two-digit number.

  • A 𝑝 + π‘ž
  • B 1 0 𝑝 + π‘ž
  • C 𝑝 π‘ž
  • D 𝑝 + 1 0 π‘ž
  • E 1 0 𝑝 π‘ž

Q17:

If the area of each shape is given by the expression written inside it, write an expression for the sum of their areas.

  • A 7 π‘₯ + 9 π‘₯ + 4 
  • B 4 π‘₯ + 7 π‘₯ + 1 1 
  • C 4 π‘₯ + 1 3 π‘₯ + 1 1 
  • D 4 π‘₯ + 9 π‘₯ + 1 1 
  • E 4 π‘₯ + 1 3 π‘₯ + 7 

Q18:

If Yasmine saved π‘₯ L E and her father gave her 5 LE, how much money does she have in total?

  • A ( 5 βˆ’ π‘₯ ) L E
  • B ( π‘₯ βˆ’ 5 ) L E
  • C 5 π‘₯ L E
  • D ( π‘₯ + 5 ) L E

Q19:

Let π‘₯ and 𝑦 be two numbers where π‘₯ is 16 more than 𝑦 . Write an expression for π‘₯ in terms of 𝑦 .

  • A 1 6 βˆ’ 𝑦
  • B 𝑦 1 6
  • C 1 6 𝑦
  • D 𝑦 + 1 6

Q20:

Points 𝑅 and 𝑆 have the coordinates ( βˆ’ 7 , 3 ) and ( 5 , 3 ) respectively. Which of the following expressions is equal to the distance between 𝑅 and 𝑆 ?

  • A | βˆ’ 7 | + | 3 |
  • B | βˆ’ 7 | βˆ’ | 5 |
  • C | 5 | + | 3 |
  • D | βˆ’ 7 | + | 5 |
  • E | βˆ’ 7 | βˆ’ | 3 |

Q21:

Farida went shopping. She paid 𝑦 dollars for a purse, and then she paid three times as much for a pair of boots. On her way home, she paid her phone bill, which cost 5 dollars more than the purse and got some groceries that cost 1 8 of the boots’ price. Write an expression in the simplest form to represent how much money Farida spent that day.

  • A 5 3 8 𝑦 βˆ’ 5
  • B 3 3 8 𝑦 + 5
  • C 3 3 8 𝑦 βˆ’ 5
  • D 5 3 8 𝑦 + 5
  • E 5 𝑦 + 3 3 8

Q22:

Given that 5 years ago a person was π‘₯ years old, how old will they be 2 years from now?

  • A 7 π‘₯ years old
  • B ( π‘₯ βˆ’ 7 ) years old
  • C ( π‘₯ + 2 ) years old
  • D ( π‘₯ + 7 ) years old
  • E ( π‘₯ + 5 ) years old

Q23:

The greatest of four consecutive numbers is 𝑛 + 1 3 . Find the other three numbers.

  • A 𝑛 + 8 , 𝑛 + 7 , 𝑛 + 6
  • B 𝑛 βˆ’ 1 0 , 𝑛 βˆ’ 1 1 , 𝑛 βˆ’ 1 2
  • C 𝑛 βˆ’ 8 , 𝑛 βˆ’ 7 , 𝑛 βˆ’ 6
  • D 𝑛 + 1 0 , 𝑛 + 1 1 , 𝑛 + 1 2

Q24:

The sum of two numbers is 15. If one of the numbers is π‘₯ , what is the other number?

  • A π‘₯ Γ— 1 5
  • B π‘₯ + 1 5
  • C π‘₯ Γ· 1 5
  • D 1 5 βˆ’ π‘₯

Q25:

Find an expression for the sum of the two adjacent angles given in the diagram.

  • A 3 π‘₯ + 1 8 0
  • B 3 π‘₯ + 7 0
  • C 3 π‘₯ + 9 0
  • D 3 π‘₯ + 2 0
  • E 3 π‘₯ + 1 6 0

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