Algebra 1 Literal Equations and Formulas Test with Point Values (PDF)

1. Solve \(V = lwh\) for \(w\). (1 point)
2. Solve \(y = mx + b\) for \(m\). (1 point)

Solve \(4x + 5y = 20\) for \(y\).

Solve \(A = \frac{1}{2}h(a + b)\) for \(h\).

Solve \(ax – 3 = bx + 7\) for \(x\), where \(a \neq b\).

Simple interest is \(I = Prt\). Solve the formula for \(P\), then find the principal that earns the interest shown in the table.

Simple interest is \(I = Prt\). Mei earns $270 on $1,500 after 3 years. Solve the formula for \(r\) and find the annual rate as a percent.

A trapezoid has area \(A = 54\) square feet, height 6 feet, and bottom base 7 feet. The area formula is \(A = \frac{1}{2}(b_{1} + b_{2})h\).

1. Solve the formula for \(b_{1}\). (2 points)
2. Find the top base. (1 point)

A rectangle has perimeter 50 meters and length 15 meters.

1. Solve \(P = 2l + 2w\) for \(w\). (1 point)
2. Find the width. (1 point)
3. Find the area. (1 point)

A student solved \(3x + 2y = 12\) for \(y\) and wrote \(y = 12 – 3x\). Explain the error and write the correct equation.