Equation Problems (Geometry) 2
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Question 1 of 4
1. Question
Find `y`
- `y=` (25)
Hint
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Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.Form an equation knowing that alternate angles are equal.
`3y+15` `=` `2y+40` To solve for `y`, it needs to be alone on one side.Start by moving `2y` to the other side by subtracting `2y` from both sides of the equation.`3``y` `+15` `=` `2``y` `+40` `3``y` `+15` `-2y` `=` `2``y` `+40` `-2y` `y` `+15` `=` `40` `2y-2y` cancels out Finally, move `15` to the other side by subtracting `15` from both sides of the equation.`y` `+15` `=` `40` `y` `+15` `-15` `=` `40` `-15` `y` `=` `25` `15-15` cancels out Check our workTo confirm our answer, substitute `y=25` to the formed equation.`3y+15` `=` `2y+40` `3(25)+15` `=` `2(25)+40` Substitute `y=25` `75+15` `=` `50+40` `90` `=` `90` Since the equation is true, the answer is correct.`y=25` -
Question 2 of 4
2. Question
Find `y`
- `y=` (4)
Hint
Help VideoCorrect
Fantastic!
Incorrect
Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.Form an equation knowing that corresponding angles are equal.
`7y-27` `=` `5y-19` To solve for `y`, it needs to be alone on one side.Start by moving `5y` to the other side by subtracting `5y` from both sides of the equation.`7``y` `-27` `=` `5``y` `-19` `7``y` `-27` `-5y` `=` `5``y` `-19` `-5y` `2``y` `-27` `=` `-19` `5y-5y` cancels out Next, move `27` to the other side by adding `27` to both sides of the equation.`2``y` `-27` `=` `-19` `2``y` `-27` `+27` `=` `-19` `+27` `2``y` `=` `8` `-27+27` cancels out Finally, remove `2` by dividing both sides of the equation by `2`.`2``y` `=` `8` `2``y``divide2` `=` `8``divide2` `y` `=` `4` `2divide2` cancels out Check our workTo confirm our answer, substitute `y=4` to the formed equation.`7y-27` `=` `5y-19` `7(4)-27` `=` `5(4)-19` Substitute `y=4` `28-27` `=` `20-19` `1` `=` `1` Since the equation is true, the answer is correct.`y=4` -
Question 3 of 4
3. Question
Find `y`
- `y=` (40)
Hint
Help VideoCorrect
Excellent!
Incorrect
Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.Form an equation knowing that the sum of all interior angles of a triangle is `180°`.
Sum of Interior Angles`=180°`Angle `1=70°`Angle `2=(2y-10)°`Angle `3=y°`Angle `1` `+`Angle `2` `+`Angle `3` `=` Sum of Interior Angles `70°` `+``(2y-10)°` `+``y°` `=` `180` Substitute the values `3y+60` `=` `180` To solve for `y`, it needs to be alone on one side.Start by moving `60` to the other side by subtracting `60` from both sides of the equation.`3``y` `+60` `=` `180` `3``y` `+60` `-60` `=` `180` `-60` `3``y` `=` `120` `60-60` cancels out Finally, remove `3` by dividing both sides of the equation by `3`.`3``y` `=` `120` `3``y``divide3` `=` `120``divide3` `y` `=` `40` `3divide3` cancels out Check our workTo confirm our answer, substitute `y=40` to the formed equation.`70+(2y-10)+y` `=` `180` `70+(2(40)-10)+40` `=` `180` Substitute `y=40` `70+(80-10)+40` `=` `180` `70+70+40` `=` `180` `180` `=` `180` Since the equation is true, the answer is correct.`y=40` -
Question 4 of 4
4. Question
Find `x`
- `x=` (36)
Hint
Help VideoCorrect
Great Work!
Incorrect
Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.Form an equation knowing that the sum of all interior angles of a quadrilateral is `360°`.
Sum of Interior Angles`=360°`Angle `1=x°`Angle `2=4x°`Angle `3=3x°`Angle `4=2x°`Angle `1` `+`Angle `2` `+`Angle `3` `+`Angle `4` `=` Sum of Interior Angles `x` `+``4x` `+``3x` `+``2x` `=` `360` Substitute the values `10x` `=` `360` To solve for `x`, it needs to be alone on one side.Start by removing `10` by dividing both sides of the equation by `10`.`10``x` `=` `360` `10``x``divide10` `=` `360``divide10` `x` `=` `36` `10divide10` cancels out Check our workTo confirm our answer, substitute `x=36` to the formed equation.`x+4x+3x+2x` `=` `360` `x+4x+3x+2x` `=` `360` Substitute `x=36` `36+4(36)+3(36)+2(36)` `=` `360` `36+144+108+72` `=` `360` `360` `=` `360` Since the equation is true, the answer is correct.`x=36`
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 with Variables on Both Sides using the Distributive Property 1
- Solve Equations with Variables on Both Sides using the Distributive Property 2
- Solve Equations with Variables on Both Sides using the Distributive Property 3
- Solve Equations with Variables on Both Sides using the Distributive Property 4
- Equation Word Problems 1
- Equation Word Problems 2
- Equation Word Problems 3
- Equation Word Problems 4
- Equation Word Problems (Age)
- Equation Word Problems (Money)
- Equation Word Problems (Harder)
- Equation Problems with Substitution
- Equation Problems (Geometry) 1
- Equation Problems (Geometry) 2
- Equation Problems (Perimeter)
- Equation Problems (Area)
- Change the Subject of an Equation 1
- Change the Subject of an Equation 2
- Change the Subject of an Equation 3