CC3 Chapter 3 Test

Front

What does it mean when an equation has 'No Solution'?

Back

An equation has 'No Solution' when there are no values for the variable that can satisfy the equation. For example, in the equation 2x + 1 = 2x - 1, simplifying leads to a contradiction, indicating no possible solution.

Front

How do you calculate the time it takes to raise a temperature by a certain amount?

Back

To calculate the time to raise a temperature, divide the total temperature increase by the rate of increase. For example, to raise the temperature by 15 degrees at a rate of 2 degrees per minute, it takes 15 / 2 = 7.5 minutes.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a single unit. For example, if there are 15 students in 1 classroom, the unit rate is 15 students per classroom.

Front

Back

To solve for x, first isolate x by adding 4 to both sides: 5 + 4 = -3x, which simplifies to 9 = -3x. Then divide both sides by -3 to get x = -3.

Front

Back

First, combine like terms: 2x + 4 = 8x + 2. Then, isolate x by moving terms involving x to one side and constants to the other: 4 - 2 = 8x - 2x, which simplifies to 2 = 6x. Finally, divide by 6 to find x = 1/3.

Front

What does it mean for an equation to have 'Infinitely Many Solutions'?

Back

An equation has 'Infinitely Many Solutions' when any value of the variable satisfies the equation. This occurs when both sides of the equation are equivalent after simplification.

Front

What is the first step in solving a linear equation?

Back

The first step in solving a linear equation is to simplify both sides of the equation by combining like terms and eliminating parentheses.

Front

How do you check if your solution to an equation is correct?

Back

To check if your solution is correct, substitute the value back into the original equation and verify if both sides are equal.

Front

What is the significance of the slope in a linear equation?

Back

The slope in a linear equation represents the rate of change of the dependent variable with respect to the independent variable. It indicates how steep the line is on a graph.

Front

What is the difference between a dependent and independent variable?

Back

An independent variable is the variable that is changed or controlled in an experiment, while a dependent variable is the variable that is measured and affected by changes in the independent variable.