Literal Equations — Unit test Answers

Alejandro wrote an equation to fit the following scenario.A person driving a pick-up truck and another person driving a motorcycle arrange to meet at a park. The pick-up truck driver took twice as long to arrive while driving at an average speed of 45 mph. The motorcyclist drove 55 mph and had a 23 miles less to drive. Alejandro’s work: t = number of hours for the pick-up truck driver to complete the trip Equation: Which statements identify Alejandro’s errors? Select the two correct answers.

Amy is 3 years older than her brother. Together, their ages are 14. Amy wrote the equation to represent the sum of their ages. What does x represent in Amy’s equation?

What is the value of x in the equation below? Round to the nearest hundredths place.

Which equation is true if the perimeter of the rectangle is 60?

A bag of potatoes and a bag of oranges weigh 30 pounds in all. The weight of the potatoes is 5 pounds less than 4 times the weight of the oranges. Let w represent the weight of the oranges. The equation that can be used to find the value of w is . Which shows the first step that should be taken to verify that w, the weight of the bag of oranges, equals 7?

Which equation below would be best solved by using the addition property of equality?

Which should be the first step in solving the equation ?

The sum of the interior angles, s, in an n-sided polygon can be determined using the formula s=180(n−2), where n is the number of sides.Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°? Round to the nearest whole number.

The formula for the area of a triangle is , where b is the length of the base and h is the height.Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.

A group of friends are going ice skating. The price of admission is $3.25. As a group, they spent $14 on refreshments. If they spent a total of $30.25 on admission and refreshments, how many friends went ice skating?

Ronin draws a square with a measure of inches on each side. The perimeter of his square is 96 inches. The equation below represents the perimeter of the square.What is the value of x?

The amount of potential energy, P, an object has is equal to the product of its mass, m, its height off the ground, h, and the gravitational constant, g. This can be modeled by the equation P = mgh.

Leonardo is solving the equation . His work is shown. Where is his error?

Which property should Remus use to solve the equation below?

Viktoriya solved an equation as shown below.She says that the equation has infinitely many solutions. Which describes Viktoriya’s error?