Topics
>
Pre - Algebra>
Equations>
Equation Word Problems (Harder)>
Equation Word Problems (Harder) 1Equation Word Problems (Harder) 1
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 2 questions completed
Questions:
- 1
- 2
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
- Answered
- Review
-
Question 1 of 2
1. Question
`4` T-shirts and `5` hats cost `$92` altogether. If a T-shirt costs `$5` more than a hat, find the cost of each item.-
T-shirt`=$` (13)Hat`=$` (8)
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.T-shirt`=x`Hat`=x-5` (since a T-shirt costs `$5` more)Total Cost `=$92``4` T-shirts and `5` Hats cost `$92` `4x` `+` `5(x-5)` `=` `92` To solve for `x`, it needs to be alone on one side.Start by expanding the left side of the equation by using the Distributive Property.`4``x` `+``5``(``x` `-5)` `=` `92` `4``x` `+``5``x` `-``5``(5)` `=` `92` `4``x` `+5``x` `-25` `=` `92` `9``x` `-25` `=` `92` Next, move `-25` to the other side by adding `25` to both sides of the equation.`9``x` `-25` `=` `92` `9``x` `-25` `+25` `=` `92` `+25` `9``x` `=` `117` `-25+25` cancels out Remove `9` by dividing both sides of the equation by `9`.`9``x` `=` `117` `9``x``divide9` `=` `117``divide9` `x` `=` `13` `9divide9` cancels out Substitute `x=13` to get the cost of each T-shirt and hat.T-shirt `=` `x` `=` `$``13` Hat `=` `x` `-5` `=` `13` `-5` `=` `$8` T-shirt`=$13`Hat`=$8` -
-
Question 2 of 2
2. Question
The cost of two different cereal boxes differs by `$1.10`. If their total cost is `$8.90`, what is the cost of the more expensive cereal box?- `$` (5)
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.Use cents (`¢`) for easier computation.More expensive cereal`=x`Cheaper cereal`=x-110` (since it is `$1.10` or `110¢` cheaper)Total Cost `=$8.90=890¢`The more expensive cereal and the cheaper cereal cost `$8.90` `x` `+` `x-110` `=` `890` Simplify the equation:`x+x-110` `=` `890` `2x-110` `=` `890` To solve for `x`, it needs to be alone on one side.Start by moving `-110` to the other side by adding `110` to both sides of the equation.`2x-110` `=` `890` `2x-110` `+110` `=` `890` `+110` `2``x` `=` `1000` `-110+110` cancels out Next, remove `2` by dividing both sides of the equation by `2`.`2``x` `=` `1000` `2``x``divide2` `=` `1000``divide2` `x` `=` `500¢` `2divide2` cancels out `x` `=` `$5` Convert unit to dollars Since `x` is the more expensive cereal box, its cost is `$5`.`$5`
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