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Questions and Answers
What is the solution for the variable in the equation $-x = 7$?
What is the solution for the variable in the equation $-x = 7$?
-7
Find the value of $x$ in the equation $ rac{x}{3} - rac{1}{4} = 20$.
Find the value of $x$ in the equation $ rac{x}{3} - rac{1}{4} = 20$.
244
What value of $y$ satisfies the equation $ rac{1}{5}(5y + 20) = 4 + 2y$?
What value of $y$ satisfies the equation $ rac{1}{5}(5y + 20) = 4 + 2y$?
0
In the equation $2y + 4 - y = 18 + y$, what is the value of $y$?
In the equation $2y + 4 - y = 18 + y$, what is the value of $y$?
What is the solution for $x$ in the equation $6x - 1 + 5(1 - x) = x + 4$?
What is the solution for $x$ in the equation $6x - 1 + 5(1 - x) = x + 4$?
Flashcards
Solve for x: -x=7
Solve for x: -x=7
To isolate the variable, you must multiply both sides of the equation by -1. Remember: Multiplying a negative by a negative results in a positive.
Solve for x: x/3 - 1/4 = 20
Solve for x: x/3 - 1/4 = 20
To solve for x, you must first combine the constants on the right side of the equation. Next, you must add 1/4 to both sides of the equation, and then multiply both sides of the equation by 3.
Solve for y: 1/5(5y+20) = 4+2y
Solve for y: 1/5(5y+20) = 4+2y
To solve for y, you must first distribute the 1/5 to the expression in parentheses on the left side of the equation. Then combine like terms and move all variables to one side of the equation. Finally, solve for y by dividing both sides by -3.
Solve for y: 2y+4-y = 18+y
Solve for y: 2y+4-y = 18+y
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Solve for x: x/10 = (x-12)/8
Solve for x: x/10 = (x-12)/8
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Study Notes
Solving for Variables
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Problem 7a: Solve for x: -x = 7
- Solution: x = -7
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Problem 7b: Solve for x: (x/3) - (1/4) = 20
- Solution: x = 61
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Problem 7c: Solve for y: (1/5)(5y + 20) = 4 + 2y
- Solution: y = 0
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Problem 7d: Solve for y: 2y + 4 - y = 18 + y
- Solution: y = -14
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Problem 7e: Solve for x: (x/10) = (x - 12)/8
- Solution: x = 60
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Problem 7f: Solve for x: 6x - 1 + 5(1 - x) = x + 4
- Solution: x = 0
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Problem 7g: Solve for x: |x| + 2 = -5
- Solution: No solution
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Problem 7h: Solve for x: 2|x - 7| - 14 = 20
- Solution: x = 15, x = -1
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