Equations Flashcard 7.1-7.4

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants, such as 2x + 3 = 7.

Front

What is an expression?

Back

An expression is a combination of numbers, variables, and operators (like +, -, *, /) that represents a value but does not include an equality sign, such as 3x + 5.

Front

How do you solve the equation -10z = 40?

Back

To solve for z, divide both sides by -10: z = 40 / -10, which simplifies to z = -4.

Front

What is the first step to solve the equation x + 11 = 44?

Back

Subtract 11 from both sides to isolate x: x = 44 - 11, which simplifies to x = 33.

Front

What is the solution to the equation 6p - 5 = 13?

Back

Add 5 to both sides: 6p = 18, then divide by 6: p = 3.

Front

Identify the expression from the following options: 6x + 2x = 6, 10 = 5x, 2x + 6x - 10, 6x^2 + 10 = 25.

Back

The expression is 2x + 6x - 10.

Front

What is the difference between an equation and an expression?

Back

An equation includes an equality sign and states that two expressions are equal, while an expression does not include an equality sign.

Front

How do you simplify the expression 6x + 2x?

Back

Combine like terms: 6x + 2x = 8x.

Front

What is the solution to the equation 6x^2 + 10 = 25?

Back

Subtract 10 from both sides: 6x^2 = 15, then divide by 6: x^2 = 2.5, and take the square root: x = ±√2.5.

Front

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

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.