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Worksheet: Addition and Subtraction Equations

In this worksheet, we will practice writing and solving one-step subtraction equations in questions including word problems.

Q1:

Daniel went to the supermarket and bought a bar of chocolate for $3.03. When he returned home, he found he had $4.61 left. Write an equation to find how much money Daniel had before going to the supermarket, and then solve it.

  • A 3 . 0 3 βˆ’ π‘š = 4 . 6 1 , π‘š = 7 . 6 4
  • B π‘š + 3 . 0 3 = 4 . 6 1 , π‘š = 1 . 5 8
  • C π‘š βˆ’ 3 . 0 3 = 4 . 6 1 , π‘š = 1 . 5 8
  • D π‘š βˆ’ 3 . 0 3 = 4 . 6 1 , π‘š = 7 . 6 4

Q2:

Ethan’s mother gave him coloring pencils for his birthday. He lost 43 of them at the park. If he has 40 left, write and solve an equation to find how many coloring pencils Ethan’s mother gave him.

  • A π‘₯ βˆ’ 4 3 = 4 0 , π‘₯ = 3
  • B π‘₯ + 4 3 = 4 0 , π‘₯ = 3
  • C π‘₯ + 4 3 = 4 0 , π‘₯ = 8 3
  • D π‘₯ βˆ’ 4 3 = 4 0 , π‘₯ = 8 3
  • E π‘₯ βˆ’ 4 3 = 4 0 , π‘₯ = 1 2 6

Q3:

Daniel had 274 LE. After he bought a notebook for x LE, he had 242 LE left. How much was the notebook?

Q4:

The diagram can be used to solve the equation 𝑠 βˆ’ 2 3 = 9 6 .

What is the missing number in the diagram?

What is the value of 𝑠 ?

Q5:

If the point ( π‘Ž βˆ’ 1 , βˆ’ 4 ) lies on the Y-axis, find the value of π‘Ž .

Q6:

Given that { π‘₯ βˆ’ 4 , 4 } = { 𝑦 βˆ’ 2 , 7 } , find π‘₯ and 𝑦 .

  • A π‘₯ = 9 , 𝑦 = 8
  • B π‘₯ = 6 , 𝑦 = 1 1
  • C π‘₯ = 8 , 𝑦 = 9
  • D π‘₯ = 1 1 , 𝑦 = 6
  • E π‘₯ = 3 , 𝑦 = 2

Q7:

Find the rational number that when subtracted from its additive inverse gives .

  • A
  • B
  • C
  • D

Q8:

The diagram can be used to solve the equation 𝑣 βˆ’ 1 6 = 3 2 .

What is the missing number in the diagram?

  • A64
  • B48
  • C32
  • D16
  • E16

What is the value of 𝑣 ?

  • A48
  • B64
  • C32
  • D16
  • E39

Q9:

Find the solution set of π‘₯ βˆ’ ( βˆ’ 3 ) = 5 in β„• .

  • A { βˆ’ 2 }
  • B { 8 }
  • C { βˆ’ 8 }
  • D { 2 }

Q10:

The equation 1 2 βˆ’ 𝑑 = 8 can be solved using a tape diagram as shown.

The next step to solve the equation is represented by the given diagram. What is added to 1 2 βˆ’ 𝑑 to make 12?

  • A βˆ’ 𝑑
  • B12
  • C βˆ’ 1 2
  • D 𝑑
  • E 1 2 𝑑

This leads to the following diagram given that 1 2 βˆ’ 𝑑 = 8 .

Which of the following calculations is used to find 𝑑 ?

  • A 1 2 βˆ’ 8
  • B 1 2 Γ— 8
  • C 8 βˆ’ 1 2
  • D 1 2 + 8
  • E 1 2 Γ· 8

Q11:

The diagram can be used to solve the equation 2 4 βˆ’ 𝑣 = 1 7 . By finding the missing numbers in the diagram, work out the value of 𝑣 .

Q12:

The equation π‘š βˆ’ 6 = 1 8 can be solved using a tape diagram as shown.

The next step to solve the equation is represented by the given diagram. What is the missing number?

This leads to the following diagram given that π‘š βˆ’ 6 = 1 8 .

Which of the following calculations gives the value of π‘š ?

  • A 1 8 + 6
  • B 1 8 + 1 8
  • C 6 + 6
  • D 1 8 βˆ’ 6
  • E 6 βˆ’ 1 8

Q13:

Daniel has gone on a diet to lose weight. When he started, he weighed 82 kg. The last time he weighed himself, his weight was 77 kg.

Write an equation for the weight 𝑀 , in kilograms, he has lost so far.

  • A 𝑀 βˆ’ 7 7 = 8 2
  • B 8 2 + 𝑀 = 7 7
  • C 8 2 βˆ’ 𝑀 = 7 7

Solve your equation to find out how much weight Andrew has lost.

  • A 5 kg
  • B 15 kg
  • C 159 kg

Q14:

Natalie has 12 cows in her farm, which is 5 cows fewer than her neighbor’s farm. Write a subtraction equation to determine the number of cows 𝑐 that her neighbor has, and then solve it.

  • A 𝑐 1 2 = 5 , 60 cows
  • B 1 2 = 𝑐 + 5 , 7 cows
  • C 1 2 = 𝑐 βˆ’ 5 , 7 cows
  • D 1 2 = 𝑐 βˆ’ 5 , 17 cows
  • E 1 2 = 𝑐 + 5 , 17 cows

Q15:

If I was 9 years old in 1998, how old was I in 2009?

Q16:

Madison is 6 years older than her sister, and her sister is 23 years old. Write an equation which describes this situation using π‘š to represent Madison’s age.

  • A 6 π‘š βˆ’ 6 = 2 3
  • B π‘š + 6 = 2 3
  • C π‘š + 2 3 = 6
  • D π‘š βˆ’ 6 = 2 3
  • E 6 π‘š + 6 = 2 3

Q17:

James scored 70 points on a test. This was 35 points less than Charlotte’s score. Write an equation to represent this situation, and then determine Charlotte’s score.

  • A 𝑔 7 0 = 3 5 , 2 450
  • B 7 0 = 𝑔 + 3 5 , 35
  • C 7 0 = 𝑔 βˆ’ 3 5 , 35
  • D 7 0 = 𝑔 βˆ’ 3 5 , 105
  • E 7 0 = 𝑔 + 3 5 , 105

Q18:

The diagram can be used to solve the equation 𝑀 βˆ’ 6 5 = 1 3 .

What is the missing number in the diagram?

What is the value of 𝑀 ?

Q19:

A school has 59 students. 51 of them have paid to go on a school trip. How many students are not going on the trip?

Q20:

Chloe walked 15 yards to the supermarket and then went back 12 yards, in the opposite direction, to the bakery. Write a subtraction equation to find the total number of yards she walked, and then solve it.

  • A π‘₯ βˆ’ 1 2 = 1 5 , 3 yd.
  • B π‘₯ βˆ’ 1 5 = 1 2 , 3 yd.
  • C π‘₯ βˆ’ 1 5 = 1 2 , 27 yd.
  • D π‘₯ βˆ’ 1 2 = 1 5 , 27 yd.
  • E π‘₯ βˆ’ 1 2 = 1 5 , 42 yd.

Q21:

During her dive, a diver stopped at a certain depth for an equipment check. Then she descended 42 feet until she reached a depth of 85 feet below sea level. Write a subtraction equation that can be used to find the diver’s position when she did an equipment check, and then solve it.

  • A π‘₯ βˆ’ 4 2 = βˆ’ 8 5 , π‘₯ = βˆ’ 2 3
  • B π‘₯ βˆ’ 8 5 = βˆ’ 4 2 , π‘₯ = βˆ’ 2 3
  • C π‘₯ βˆ’ 8 5 = βˆ’ 4 2 , π‘₯ = βˆ’ 4 3
  • D π‘₯ βˆ’ 4 2 = βˆ’ 8 5 , π‘₯ = βˆ’ 4 3
  • E π‘₯ βˆ’ 4 2 = βˆ’ 8 5 , π‘₯ = βˆ’ 6 3

Q22:

Olivia was paragliding. After losing 55 feet in altitude, she was gliding at 320 feet. Write and solve an equation to find her altitude at the moment of takeoff.

  • A π‘₯ βˆ’ 5 5 = 3 2 0 , βˆ’ 2 6 5
  • B π‘₯ + 5 5 = 3 2 0 , βˆ’ 2 6 5
  • C π‘₯ + 5 5 = 3 2 0 , 375
  • D π‘₯ βˆ’ 5 5 = 3 2 0 , 375
  • E π‘₯ βˆ’ 5 5 = 3 2 0 , 430

Q23:

A diver began his ascent to the surface. He ascended 20 meters to his next decompression stop and must ascend another 32 meters to return to the surface. Write and solve a subtraction equation to find the diver’s original depth before he started ascending.

  • A π‘₯ βˆ’ 2 0 = 3 2 , π‘₯ = 1 2
  • B π‘₯ + 2 0 = 3 2 , π‘₯ = 1 2
  • C π‘₯ + 2 0 = 3 2 , π‘₯ = 5 2
  • D π‘₯ βˆ’ 2 0 = 3 2 , π‘₯ = 5 2
  • E π‘₯ βˆ’ 2 0 = 3 2 , π‘₯ = 8 4

Q24:

A diver began his ascent to the surface. He ascended 23 meters to his next decompression stop and must ascend another 69 meters to return to the surface. Write and solve a subtraction equation to find the diver’s original depth before he started ascending.

  • A π‘₯ βˆ’ 2 3 = 6 9 , π‘₯ = 4 6
  • B π‘₯ + 2 3 = 6 9 , π‘₯ = 4 6
  • C π‘₯ + 2 3 = 6 9 , π‘₯ = 9 2
  • D π‘₯ βˆ’ 2 3 = 6 9 , π‘₯ = 9 2
  • E π‘₯ βˆ’ 2 3 = 6 9 , π‘₯ = 1 6 1

Q25:

The value of π‘₯ in the equation π‘₯ + 𝑦 = βˆ’ 8 is an integer greater than 4 and less than 9. Determine all the possible values of 𝑦 .

  • A βˆ’ 1 3 , βˆ’ 2 , βˆ’ 1 , βˆ’ 1 6
  • B βˆ’ 3 , βˆ’ 2 , βˆ’ 1 , 0
  • C βˆ’ 3 , βˆ’ 1 4 , βˆ’ 1 5 , 0
  • D βˆ’ 1 3 , βˆ’ 1 4 , βˆ’ 1 5 , βˆ’ 1 6
  • E βˆ’ 1 3 , βˆ’ 1 4 , βˆ’ 1 5 , βˆ’ 3

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