Equation Word Problems (Age) 1
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 5 questions completed
Questions:
 1
 2
 3
 4
 5
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
 1
 2
 3
 4
 5
 Answered
 Review

Question 1 of 5
1. Question
Luke is `5` years younger than his brother James. The sum of their ages is `35`. How old is Luke? (15) years old
Hint
Help VideoCorrect
Well Done!
Incorrect
Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.Keywords for Word Problems Keyword Meaning Certain number Unknown variable (`x,y,z,` etc) is the same as, The answer is, is equal `=` sum, and, plus, more than `+` subtracted, less, minus `` times, product, multiplied, twice `times` half of, divide by `divide` First, label the values and form an equation using the information given.James’ age`=x`Luke’s age`=x5` (since he is `5` years younger)James’ age and Luke’s age add up to `35` `x` `+` `x5` `=` `35` Simplify the equation:`x+x5` `=` `35` `2x5` `=` `35` To solve for `x`, it needs to be alone on one side.Start by moving `5` to the other side by adding `5` to both sides of the equation.`2``x` `5` `=` `35` `2``x` `5` `+5` `=` `35` `+5` `2``x` `=` `40` `5+5` cancels out Next, remove `2` by dividing both sides of the equation by `2`.`2``x` `=` `40` `2``x``divide2` `=` `40``divide2` `x` `=` `20` `2divide2` cancels out James is `20` years old.Now that we know James’ age, we can compute for Luke’s as well.Luke’s age `=` `x` `5` `=` `20` `5` Substitute `x=20` `=` `15` Luke is `15` years old.`15` years old 
Question 2 of 5
2. Question
Sophia is `4` years younger than her sister Irene. The sum of their ages is `32` years. How old are they?
Sophia is (14) years oldIrene is (18) years old
Hint
Help VideoCorrect
Good Job!
Incorrect
Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.Keywords for Word Problems Keyword Meaning Certain number Unknown variable (`x,y,z,` etc) is the same as, The answer is, is equal `=` sum, and, plus, more than `+` subtracted, less, minus `` times, product, multiplied, twice `times` half of, divide by `divide` First, label the values and form an equation using the information given.Sophia’s age`=x`Irene’s age`=x+4` (since she is `4` years older)Sophia’s age and Irene’s age add up to `32` `x` `+` `x+4` `=` `32` Simplify the equation:`x+x+4` `=` `32` `2x+4` `=` `32` To solve for `x`, it needs to be alone on one side.Start by moving `4` to the other side by subtracting `4` from both sides of the equation.`2``x` `+4` `=` `32` `2``x` `+4` `4` `=` `32` `4` `2``x` `=` `28` `44` cancels out Next, remove `2` by dividing both sides of the equation by `2`.`2``x` `=` `28` `2``x``divide2` `=` `28``divide2` `x` `=` `14` `2divide2` cancels out Substitute `x=14` to get the age of Sophia and Irene.Sophia’s age `=` `x` `=` `14` years old Irene’s age `=` `x` `+4` `=` `14` `+4` `=` `18` years old Sophia is `14` years oldIrene is `18` years old 

Question 3 of 5
3. Question
When Grace was `6` years old, her mother was `25` years old. Now, Grace’s mother is twice as old as Grace. How old is Grace now? (19) years old
Hint
Help VideoCorrect
Fantastic!
Incorrect
Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.Distributive Property
`a``(b+c)=``a``b+``a``c`Keywords for Word Problems Keyword Meaning Certain number Unknown variable (`x,y,z,` etc) is the same as, The answer is, is equal `=` sum, and, plus, more than `+` subtracted, less, minus `` times, product, multiplied, twice `times` half of, divide by `divide` First, find the difference between Grace’s age and her mother’s based on the given information.Grace’s age`=6`Her mother’s age`=25`Her Mother’s Age `` Grace’s Age `=` `256` `=` `19` Use the information gathered so far to label the values and form an equation.Her mother’s age`=x`Grace’s age`=x19` (since she is `19` years younger)Grace’s mother is twice as old as Grace `x` `=` `2times` `x19` Simplify the equation:`x` `=` `2times(x19)` `x` `=` `2(x19)` To solve for `x`, it needs to be alone on one side.Start by expanding the right side of the equation using the Distributive Property.`x` `=` `2``(``x` `19)` `x` `=` `2``x` ```2``(19)` `x` `=` `2``x` `38` Next, move `2x` to the other side by subtracting `2x` from both sides of the equation.`x` `=` `2``x` `38` `x` `2x` `=` `2``x` `38` `2x` ```x` `=` `38` `2x2x` cancels out Make both sides positive by multiplying `1`.```x` `=` `38` ```x``times1` `=` `38``times1` `x` `=` `38` Substitute `x=38` to get the age of Grace and her mother.Her mother’s age `=` `x` `=` `38` years old Grace’s age `=` `x` `19` `=` `38` `19` `=` `19` years old `19` years old 
Question 4 of 5
4. Question
When Jack was born, his father was `28` years old. His father is now `3` times as old as Jack. What are their ages now?
Jack is (14) years oldHis father is (42) years old
Hint
Help VideoCorrect
Well Done!
Incorrect
Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.Keywords for Word Problems Keyword Meaning Certain number Unknown variable (`x,y,z,` etc) is the same as, The answer is, is equal `=` sum, and, plus, more than `+` subtracted, less, minus `` times, product, multiplied, twice `times` half of, divide by `divide` Use the information gathered so far to label the values and form an equation.Jack’s age`=x`His father’s age`=x+28` (since he was `28` years old when Jack was born)His father is `3` times as old as Jack `x+28` `=` `3times` `x` Simplify the equation:`x+28` `=` `3timesx` `x+28` `=` `3x` To solve for `x`, it needs to be alone on one side.Start by moving `x` to the other side by subtracting `x` from both sides of the equation.`x` `+28` `=` `3``x` `x` `+28` `x` `=` `3``x` `x` `28` `=` `2``x` `xx` cancels out Next, remove `2` by dividing both sides of the equation by `2`.`28` `=` `2``x` `28``divide2` `=` `2``x``divide2` `14` `=` `x` `2divide2` cancels out `x` `=` `14` Substitute `x=14` to get the age of Jack and his father.Jack’s age `=` `x` `=` `14` years old His father’s age `=` `x` `+28` `=` `14` `+28` `=` `42` years old Jack is `14` years oldHis father is `42` years old 

Question 5 of 5
5. Question
Alan’s age is `6` times that of Noah’s. Their combined ages is `42` years. Three years ago, how old were they?
Noah was (3) years oldAlan was (33) years old
Hint
Help VideoCorrect
Great Work!
Incorrect
Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.Keywords for Word Problems Keyword Meaning Certain number Unknown variable (`x,y,z,` etc) is the same as, The answer is, is equal `=` sum, and, plus, more than `+` subtracted, less, minus `` times, product, multiplied, twice `times` half of, divide by `divide` Use the information gathered so far to label the values and form an equation.Noah’s age`=x`Alan’s age`=6x` (since he `6` times as old as Noah)Alan and Noah’s combined ages is `42` `x+6x` `=` `42` Simplify the equation:`x+6x` `=` `42` `7x` `=` `42` To solve for `x`, it needs to be alone on one side.Remove `7` by dividing both sides of the equation by `7`.`7``x` `=` `42` `7``x``divide7` `=` `42``divide7` `x` `=` `6` `7divide7` cancels out Substitute `x=6` to get Noah and Alan’s age now.Noah’s age `=` `x` `=` `6` years old Alan’s age `=` `6``x` `=` `6(``6``)` `=` `36` years old Finally, subtract `3` from each of their current ages to get Noah and Alan’s age three years ago.Noah’s age `3` years ago `=` `6` `3` `=` `3` years old Alan’s age `3` years ago `=` `36` `3` `=` `33` years old Noah was `3` years oldAlan was `33` years old 
Quizzes
 One Step Equations – Add and Subtract 1
 One Step Equations – Add and Subtract 2
 One Step Equations – Add and Subtract 3
 One Step Equations – Add and Subtract 4
 One Step Equations – Multiply and Divide 1
 One Step Equations – Multiply and Divide 2
 One Step Equations – Multiply and Divide 3
 One Step Equations – Multiply and Divide 4
 Two Step Equations 1
 Two Step Equations 2
 Two Step Equations 3
 Two Step Equations 4
 MultiStep Equations 1
 MultiStep Equations 2
 Solve Equations using the Distributive Property 1
 Solve Equations using the Distributive Property 2
 Solve Equations using the Distributive Property 3
 Equations with Variables on Both Sides 1
 Equations with Variables on Both Sides 2
 Equations with Variables on Both Sides 3
 Equations with Variables on Both Sides (Fractions) 1
 Equations with Variables on Both Sides (Fractions) 2
 Solve Equations – Variables on Both Sides (Distributive Property) 1
 Solve Equations – Variables on Both Sides (Distributive Property) 2
 Solve Equations – Variables on Both Sides (Distributive Property) 3
 Solve Equations – Variables on Both Sides (Distributive Property) 4
 Writing Equations 1
 Writing Equations 2
 Writing Equations 3
 Writing Equations 4
 Equation Word Problems (Age) 1
 Equation Word Problems (Money) 1
 Equation Word Problems (Harder) 1
 Equation Problems with Substitution 1
 Equation Problems (Geometry) 1
 Equation Problems (Geometry) 2
 Equation Problems (Perimeter)
 Equation Problems (Area)
 Solve for a Variable or Formula 1
 Solve for a Variable or Formula 2
 Solve for a Variable or Formula 3