Midterm Review 12/5 AG Strategies

Front

What are inverse operations?

Back

Inverse operations are pairs of operations that undo each other. For example, addition and subtraction are inverse operations, as are multiplication and division.

Front

How do you solve the equation 10 - 6v = -104?

Back

To solve for v, first add 6v to both sides: 10 = 6v - 104. Then add 104 to both sides: 114 = 6v. Finally, divide by 6: v = 19.

Front

What is the solution to the equation 33 = 4a - 7?

Back

To solve for a, first add 7 to both sides: 40 = 4a. Then divide by 4: a = 10.

Front

How do you solve the equation -3a + 8 = 14?

Back

First, subtract 8 from both sides: -3a = 6. Then divide by -3: a = -2.

Front

What does |k - 9| = 4 represent?

Back

This equation means that the distance between k and 9 is 4. The solutions are k = 5 and k = 13.

Front

How do you solve the equation 4c - 6 = 2?

Back

First, add 6 to both sides: 4c = 8. Then divide by 4: c = 2.

Front

What is the definition of an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation or expression.

Front

What is the purpose of isolating a variable?

Back

Isolating a variable means rearranging an equation to get the variable alone on one side, making it easier to solve for its value.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.