Literal Equations Worksheet
A Grade 9 Math worksheet focusing on solving literal equations, rearranging formulas to isolate specific variables.
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Literal Equations Practice
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Read each question carefully and follow the instructions to rearrange the given literal equations for the specified variable. Show all your work.
1. Solve the formula for the area of a rectangle, A = lw, for 'w'.
2. Rearrange the simple interest formula, I = Prt, to solve for 'P'.
3. When solving for a variable in a literal equation, the goal is to that variable on one side of the equation.
4. To undo addition in an equation, you should use .
5. The formula for the perimeter of a rectangle is P = 2l + 2w. If you solve this for 'l', the first step is to subtract from both sides.
6. Which of the following correctly solves the equation y = mx + b for 'x'?
x = (y - b) / m
x = y/m - b
x = m(y - b)
x = y - b - m
7. Given the formula V = lwh, if we want to solve for 'h', what operation should be performed?
Add lw to both sides
Subtract lw from both sides
Multiply both sides by lw
Divide both sides by lw
8. The formula for the circumference of a circle is C = 2πr. Solve this formula for 'r'.
9. Solve the formula for the area of a trapezoid, A = (1/2)h(b1 + b2), for 'h'.
10. To solve 4x - 2y = 10 for 'y', the first step is to divide by -2.
True
False
11. The equation 3x + 5y = 15 solved for 'x' is x = 5 - (5/3)y.
True
False