Midterm Review (Unit 2)

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a recipe calls for 1/2 cup of lemons for every 1/4 cup of sugar, the ratio of lemons to sugar is a proportion.

Front

How do you solve for x in the equation -4x + 6 - 12x = -10?

Back

Combine like terms: -16x + 6 = -10. Then, subtract 6 from both sides: -16x = -16. Finally, divide by -16: x = 1.

Front

What is the first step to solve the equation -12x + 3 = 51?

Back

Subtract 3 from both sides to isolate the term with x: -12x = 48.

Front

How do you set up an equation for Sophie’s bowling scenario?

Back

Let x be the number of games. The total cost is $12 for entry plus $3.50 per game, so the equation is 3.50x + 12 = 65.

Front

What is the solution to the equation x = 12?

Back

The value of x is 12.

Front

What does 'combining like terms' mean in algebra?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the definition of a variable in mathematics?

Back

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

Front

What is the process to isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

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.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the values on both sides of the equation are the same.