Unit Test Answers

The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and smallest diameters of the ellipse.

Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below.4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x = 3x + 15 – 113x – 4 = 3x + 4

What is the value of x in the equation ?

The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation , where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total?

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle?

A plumber uses the expression 48 + 25h to determine the number of dollars to charge each customer. If h = 4, how much does the customer pay?

Simplify the expression shown.3x + 2 – 3x + 7 +5xWhat is the coefficient in the simplified expression?

Which input value produces the same output value for the two functions on the graph?

The tables represent the functions f(x) and g(x).

Solve the equation.–9x + 1 = –x + 17

What is the solution to the linear equation? + p = + p

Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b.

four timestwo timesless thanthe same as

Fiona solved the equation shown. – (6x – 3) = –

Deepak wrote out the steps to his solution of the equation – 3x – 5 + 4x = –. Which step has an incorrect instruction?

What is the value of s in the equation , when ?

The expression represents the cost of Janelle’s cell phone bill, where m represents the number of minutes of use.0.05m + 12What is the constant in the expression?

What is the value of n in the equation ?

Solve the equation.y + 3 = –y + 9

Kate begins solving the equation (6x – 3) = (6x – 4). Her work is correct and is shown below.(6x – 3) = (6x – 4)4x – 2 = 3x – 2

The volume, V, of a rectangular prism is determined using the formula V=lwh, where l is the length, w is the width, and h is the height of the prism.Using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches? Round to the nearest tenth.

The formula to convert °F to °C is C = (F – 32).Convert 50°C to °F.

What is the solution to the linear equation?6k + 10.5 = 3k + 12

Fiona is serving iced tea and lemonade at a picnic. She has only 44 glasses in which to serve the drinks. If x represents the number of glasses of iced tea and y represents the number of glasses of lemonade, which equation represents the number of glasses of ice tea she can serve?

What is the value of a in the equation , when ?