1. Solve for x: 2x + 5 = 11
First, we need to isolate x by getting rid of the constant term on the left side.
2x + 5 = 11
2x = 11 - 5
2x = 6
Next, divide both sides by 2 to solve for x:
x = 6/2
x = 3
Therefore, the solution to the equation 2x + 5 = 11 is x = 3.
2. Solve for y: 3y - 7 = 14
First, add 7 to both sides to eliminate the constant term on the left side:
3y - 7 + 7 = 14 + 7
3y = 21
Next, divide both sides by 3 to solve for y:
y = 21/3
y = 7
Therefore, the solution to the equation 3y - 7 = 14 is y = 7.
3. Solve for x: 4(x - 2) = 12
First, distribute the 4 on the left side of the equation:
4x - 8 = 12
Next, add 8 to both sides to eliminate the constant term on the left side:
4x - 8 + 8 = 12 + 8
4x = 20
Lastly, divide both sides by 4 to solve for x:
x = 20/4
x = 5
Therefore, the solution to the equation 4(x - 2) = 12 is x = 5.
4. Solve for y: 2y + 3 = 5y - 4
First, simplify the equation by moving all terms with y to one side of the equation:
2y - 5y = -4 - 3
-3y = -7
Finally, divide both sides by -3 to solve for y:
y = -7 / -3
y = 7/3
Therefore, the solution to the equation 2y + 3 = 5y - 4 is y = 7/3.
5. Solve for x: 3x + 4 = 7x - 2
First, simplify the equation by moving all terms with x to one side of the equation:
3x - 7x = -2 - 4
-4x = -6
Next, divide both sides by -4 to solve for x:
x = -6 / -4
x = 3/2
Therefore, the solution to the equation 3x + 4 = 7x - 2 is x = 3/2.
Solving Linear Equations: Mastery Test
1 answer
1 answer