Algebra 1 Literal Equations and Formulas Quiz: 10 Questions with Explanations

A \(t = dr\)B \(t = \frac{d}{r}\)C \(t = \frac{r}{d}\)D \(t = d – r\)

Divide both sides by r. Multiplying by r undoes nothing, and subtracting is not the inverse of multiplication.

A \(w = P – 2l\)B \(w = \frac{P – l}{2}\)C \(w = \frac{P – 2l}{2}\)D \(w = \frac{P}{2} + l\)

Subtract 2l first, then divide the whole result by 2. Dividing only one term is a common mistake.

A 4 inB 8 inC 16 inD 2 in

h = 2A/b = 72/9 = 8. Using A/b without doubling gives 4.

A \(x = \frac{y – b}{m}\)B \(x = \frac{y + b}{m}\)C \(x = \frac{y}{m} – b\)D \(x = (y – b)m\)

Subtract b first, then divide everything by m. Dividing only y by m leaves b undivided.

A \(y = 6 – \frac{3}{2}x\)B \(y = 12 – \frac{3}{2}x\)C \(y = 6 + \frac{3}{2}x\)D \(y = 4 – \frac{2}{3}x\)

Subtract 3x to get 2y = 12 – 3x, then divide both terms by 2.

A 18°CB 10°CC 82°CD 90°C

C = (5/9)(50 – 32) = (5/9)(18) = 10, and the table agrees. Forgetting the 5/9 gives 18.

A 12%B 24%C 6%D 60%

r = I/(Pt) = 120/2000 = 0.06. Dividing by P only gives 12%.

A 14B 2C 5D 9

b1 = 2A/h – b2 = 56/4 – 5 = 9. Forgetting to subtract b2 gives 14.

A \(x = c – \frac{b}{a}\)B \(x = \frac{c + b}{a}\)C \(x = \frac{b – c}{a}\)D \(x = \frac{c – b}{a}\)

Subtract b from both sides, then divide the whole right side by a.

A \(h = \frac{V}{\pi r^{2}}\)B \(h = \frac{V}{\pi r}\)C \(h = V\pi r^{2}\)D \(h = \frac{V}{2\pi r}\)

Divide both sides by the whole factor pi r squared.