HSM - Ch 4 Flashcard Review

Front

What is the solution to the equation 8v - 4(v + 8) = 8?

Back

The solution is v = 10.

Front

If John's mother is 44 years old and her age is 5 years more than three times John's age, how do you find John's present age?

Back

Let John's age be x. The equation is 3x + 5 = 44. Solving gives x = 13.

Front

What does it mean when an equation has no solution, such as in x + 9 = x - 9?

Back

It means that there is no value of x that can satisfy the equation.

Front

In a ratio of dogs to cats of 5 to 3, if there are 25 dogs, how do you find the number of cats?

Back

Set up the proportion 5/3 = 25/c. Solving gives c = 15.

Front

What is the solution to the equation 4 - 2(x - 3) = 24?

Back

The solution is x = -7.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no variables raised to a power greater than one.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the principle of solving equations?

Back

The principle states that you can perform the same operation on both sides of an equation without changing its equality.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

Cross-multiply and then solve for the unknown variable.