Podcast
Questions and Answers
What is the solution to the equation: −20 = −4x − 6x?
What is the solution to the equation: −20 = −4x − 6x?
2
What is the solution to the equation: 6x + 3 − 6x = 3?
What is the solution to the equation: 6x + 3 − 6x = 3?
Infinite Solutions
What is the simplified result of: ((−16 − (−2 + 1)) × 2) ÷ 5?
What is the simplified result of: ((−16 − (−2 + 1)) × 2) ÷ 5?
-6
What is the simplified result of: −3 ÷ 3(a + c(b + 5) − (−6 + a)) with a = 1, b = −6, and c = −4?
What is the simplified result of: −3 ÷ 3(a + c(b + 5) − (−6 + a)) with a = 1, b = −6, and c = −4?
What is the solution to the equation: 144 = −12(x + 5)?
What is the solution to the equation: 144 = −12(x + 5)?
What is the solution to the equation: −5(1 − 5x) + 5(−8x − 2) = −4x − 8x?
What is the solution to the equation: −5(1 − 5x) + 5(−8x − 2) = −4x − 8x?
What is the solution to the equation: 154 = -4(8 + 6r) + 24r?
What is the solution to the equation: 154 = -4(8 + 6r) + 24r?
What is the solution to the equation: −243 = −9(10 + x)?
What is the solution to the equation: −243 = −9(10 + x)?
What is the simplified result of: x(z + 3) + 1 + 3 − y with x = 6, y = −5, and z = 2?
What is the simplified result of: x(z + 3) + 1 + 3 − y with x = 6, y = −5, and z = 2?
What is the solution to the equation: a + 5 = −5a + 5?
What is the solution to the equation: a + 5 = −5a + 5?
What is the solution to the equation: 1 = 5 + p − p?
What is the solution to the equation: 1 = 5 + p − p?
What is the simplified result of: 7(1 + 9v) − 8(−5v − 6)?
What is the simplified result of: 7(1 + 9v) − 8(−5v − 6)?
What is the solution to the equation: 8(k − 6) + 58 = 2(4k + 5)?
What is the solution to the equation: 8(k − 6) + 58 = 2(4k + 5)?
What is the simplified result of: −3 × 2 × 2(−3 − 1)?
What is the simplified result of: −3 × 2 × 2(−3 − 1)?
Translate the equation 7x = 56 into an algebraic sentence.
Translate the equation 7x = 56 into an algebraic sentence.
Translate into an algebraic equation: u decreased by 17 is 13.
Translate into an algebraic equation: u decreased by 17 is 13.
Translate into an algebraic equation: twice q is 8.
Translate into an algebraic equation: twice q is 8.
Translate into an algebraic expression: the product of q and 8.
Translate into an algebraic expression: the product of q and 8.
Translate into an algebraic expression: two less than h.
Translate into an algebraic expression: two less than h.
Translate into an algebraic equation: twice the sum of 5 and a number.
Translate into an algebraic equation: twice the sum of 5 and a number.
What is the solution if the domain of x is (0, 1, 2, 3, 4, 5, 6); 3x + 1 = 10?
What is the solution if the domain of x is (0, 1, 2, 3, 4, 5, 6); 3x + 1 = 10?
What is the solution if the domain of x is (0, 1, 2, 3, 4, 5, 6); 4x = x × 4?
What is the solution if the domain of x is (0, 1, 2, 3, 4, 5, 6); 4x = x × 4?
What is the solution if the domain of x is (0, 1, 2, 3, 4, 5, 6); 2 = x - 4?
What is the solution if the domain of x is (0, 1, 2, 3, 4, 5, 6); 2 = x - 4?
Flashcards are hidden until you start studying
Study Notes
Equation Solutions
- To solve −20 = −4x − 6x, the solution is x = 2.
- The equation 6x + 3 − 6x = 3 leads to an infinite number of solutions.
- For 144 = −12(x + 5), the solution is x = -17.
- The equation −243 = −9(10 + x) results in x = 17.
- In the case of 8(k − 6) + 58 = 2(4k + 5), there are infinite solutions.
- The equation 3x + 1 = 10 with the domain (0, 1, 2, 3, 4, 5, 6) gives the solution set {3}.
- The equation 4x = x × 4 also provides the entire domain {0, 1, 2, 3, 4, 5, 6} as solutions.
- For the equation 2 = x - 4, the solution is x = 6.
Simplifications
- Simplifying ((−16 − (−2 + 1)) × 2) ÷ 5 results in -6.
- Simplifying −3 ÷ 3(a + c(b + 5) − (−6 + a)) using a = 1, b = −6, and c = −4 yields -10.
- For 7(1 + 9v) − 8(−5v − 6), simplification leads to 55 + 103v.
- The expression −3 × 2 × 2(−3 − 1) simplifies to 48.
Algebraic Translations
- The equation 7x = 56 translates to "the product of x and 7 is fifty-six".
- "u decreased by 17 is 13" translates into algebraic form as u - 17 = 13.
- The phrase "twice q is 8" translates to the equation 2q = 8.
- "The product of q and 8" becomes the expression 8q.
- "Two less than h" translates to h - 2.
- "Twice the sum of 5 and a number" is translated into the expression 2(5 + n).
Special Cases
- The equation −5(1 − 5x) + 5(−8x − 2) = −4x − 8x produces x = -5.
- The equation 154 = -4(8 + 6r) + 24r results in no solution.
- The equation 1 = 5 + p − p also yields no solution.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
