Writing Equations 1
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Question 1 of 5
1. Question
The product of a certain number and `12` is `60`. What is the number?- (5)
Hint
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Excellent!
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.Certain number`=x``12` times a certain number is `60` `12` `times` `x` `=` `60` Simplify the equation:`12timesx` `=` `60` `12x` `=` `60` To solve for `x`, it needs to be alone on one side.Remove `12` by dividing both sides of the equation by `12`.`12``x` `=` `60` `12``x``divide12` `=` `60``divide12` `x` `=` `5` `12divide12` cancels out The certain number is `5`.`5` -
Question 2 of 5
2. Question
If a number is multiplied by `8` and then `9` is subtracted from the product, the answer is `47`. What is the number?- (7)
Hint
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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.Number`=x`If a number is multiplied by `8` and then `9` is subtracted from the product, the answer is `47` `x` `times` `8` `-9` `=` `47` Simplify the equation:`(xtimes8)-9` `=` `47` `8x-9` `=` `47` To solve for `x`, it needs to be alone on one side.Start by moving `9` to the other side by adding `9` to both sides of the equation.`8``x` `-9` `=` `47` `8``x` `-9` `+9` `=` `47` `+9` `8``x` `=` `56` `-9+9` cancels out Remove `8` by dividing both sides of the equation by `8`.`8``x` `=` `56` `8``x``divide8` `=` `56``divide8` `x` `=` `7` `8divide8` cancels out The number is `7`.`7` -
Question 3 of 5
3. Question
Solve `3` less than `y` is equal to `25`.- `y=` (28)
Hint
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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` First, form an equation using the information given.`3` less than `y` is equal to `25` `y-3` `=` `25` To solve for `y`, it needs to be alone on one side.Move `3` to the other side by subtracting `3` from both sides of the equation.`y` `-3` `=` `25` `y` `-3` `+3` `=` `25` `+3` `y` `=` `28` `-3+3` cancels out `y=28` -
Question 4 of 5
4. Question
Solve the product of `7` and `y` plus `6` is `-50`.- `y=` (-8)
Hint
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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, form an equation using the information given.The product of `7` and `y` plus `6` is `-50` `7timesy` `+` `6` `=` `-50` Simplify the equation:`(7timesy)+6` `=` `-50` `7y+6` `=` `-50` To solve for `y`, it needs to be alone on one side.Start by moving `6` to the other side by subtracting `6` from both sides of the equation.`7``y` `+6` `=` `-50` `7``y` `+6` `-6` `=` `-50` `-6` `7``y` `=` `-56` `6-6` cancels out Remove `7` by dividing both sides of the equation by `7`.`7``y` `=` `-56` `7``y``divide7` `=` `-56``divide7` `y` `=` `-8` `7divide7` cancels out `y=-8` -
Question 5 of 5
5. Question
Solve the product of `9` and `m` is equal to `14` less than `2m`.- `m=` (-2)
Hint
Help VideoCorrect
Fantastic!
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, form an equation using the information given.The product of `9` and `m` is equal to `14` less than `2m` `9timesm` `=` `2m-14` Simplify the equation:`9timesm` `=` `2m-14` `9m` `=` `2m-14` To solve for `m`, it needs to be alone on one side.Start by moving `2m` to the other side by subtracting `2m` from both sides of the equation.`9``m` `=` `2``m` `-14` `9``m` `-2m` `=` `2``m` `-14` `-2m` `7``m` `=` `-14` `2m-2m` cancels out Remove `7` by dividing both sides of the equation by `7`.`7``m` `=` `-14` `7``m``divide7` `=` `-14``divide7` `m` `=` `-2` `7divide7` cancels out `m=-2`
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
- Multi-Step Equations 1
- Multi-Step 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