Literal Equations

What is the first step to solve the equation 2x + 3 = 11?

• Add 3 to both sides.

• Subtract 3 from both sides.

• Multiply both sides by 2.

• Divide both sides by 2.

What is a literal equation?

• An equation that contains two or more variables.

• An equation that has only one variable.

• An equation that is always true regardless of the variable values.

• An equation that cannot be solved.

Solve for F in the equation S = 3F - 24

• F = (S + 24) / 3

• F = (S - 24) / 3

• F = (S + 12) / 3

• F = (S - 12) / 3

If a = 2 and b = 3, what is the value of x in the equation ax + b = 10?

• 2.5

• 3.0

• 3.5

• 4.0

In the equation A = lw, how do you solve for l?

• l = A / w.

• l = A * w.

• l = A - w.

• l = A + w.

Solve for R in the equation pV = nRT

• R = pV / nT

• R = nT / pV

• R = pVn / T

• R = T / nVp

What should we do first to solve for x in the equation y = mx + b?

• Add b to both sides.

• Subtract b from both sides.

• Multiply both sides by m.

• Divide both sides by y.

How do you isolate a variable in an equation?

• Add the same number to both sides of the equation.

• Perform inverse operations to both sides of the equation.

• Multiply both sides by the same variable.

• Subtract the variable from both sides.

Solve for x: ax - b = c + d

• x = (c + b + d) / a

• x = (c - b - d) / a

• x = (b + c - d) / a

• x = (b - c + d) / a

What is the relationship between variables in a literal equation?

• They can be manipulated to express one variable in terms of others.

• They are always equal to each other.

• They cannot be changed or manipulated.

• They represent fixed values that do not vary.