Expressions/Equations/Inequalities Review

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing an equal sign (=).

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

How do you solve the equation 8x - 8 = -4x + 16?

Back

Add 4x to both sides: 12x - 8 = 16. Then add 8: 12x = 24. Finally, divide by 12: x = 2.

Front

What is the first step in solving the equation 2(4x - 7)?

Back

Distribute the 2: 8x - 14.

Front

How do you simplify the expression -(3v - 8)?

Back

Distribute the negative sign: -3v + 8.

Front

If Maria has $25 and spends $3.50 on milk, how much does she have left for cereal?

Back

$25 - $3.50 = $21.50.

Front

If each box of cereal costs $4.50, how many boxes can Maria buy with $21.50?

Back

21.50 / 4.50 = 4 boxes.

Front

What is the total cost of a taxi ride that charges $3 plus $1.50 per mile if the total charge is $30?

Back

$30 - $3 = $27. Then, $27 / $1.50 = 18 miles.

Front

What does it mean to isolate a variable in an equation?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.