Literal Equations: Quiz

The formula for the area of a rhombus is A = 1/2d1d2, where d1 and d2 are the lengths of the diagonals. Which are equivalent equations? Select two correct answers.

2. d1=2A/d2 4.d2=2A/d1

The goals against average (A) for a professional hockey goalie is determined using the formula A = 60 (g/t) . In the formula, g represents the number of goals scored against the goalie and t represents the time played, in minutes. Which is an equivalent equation solved for g?

A. At/60=g

The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15. When solved for C, the equation is

A. C = K - 273.15

Marta is solving the equation S = 2πrh + 2πr2 for h. Which should be the result?

A. s/2πr-r=h

Solve for w. 5w + 9z = 2z + 3w

A. w=-7/2z

The formula for the circumference of a circle is C = 2πr, where r is the radius and C is the circumference. The equation solved for r is r = C/2π. Find the radius of a circle that has a circumference of 16π.

B. r=8

The slope-intercept form of a linear equation is y = mx + b, where x and y are coordinates of an ordered pair, m is the slope of the line, and b is where the line crosses the y-axis. Which is an equivalent equation solved for the slope, m?

B. y-b/x=m

The equation d = m/v can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an equivalent equation solved for V?

C. m/d=V

Solve the equation for a. K = 4a + 9ab

D. a= K / 4+9b

Solve for k. 8k + 2m = 3m + k

D. k=m/7