8th Grade Flashcard - Nov. 8, 2024

Front

What is the formula for the quadratic expression when substituting a value for b in -b² + 4?

Back

The expression becomes -(-5)² + 4 = -25 + 4 = -21.

Front

How do you simplify the expression 3x - 2?

Back

The expression is already in its simplest form.

Front

What is the result of dividing fractions, specifically \( \frac{3}{4} \div \frac{1}{2} \)?

Back

The result is \( \frac{3}{4} \times \frac{2}{1} = \frac{3 \times 2}{4 \times 1} = \frac{6}{4} = \frac{3}{2} \).

Front

How do you simplify the expression - (3x - 4) - 7x - 11?

Back

Distributing the negative gives -3x + 4 - 7x - 11 = -10x - 7.

Front

How do you set up an equation based on a word problem involving multiple athletes' scores?

Back

Let L = LeBron's score, then Jordan's score is 2L, and Kobe's score is 2L + 15. The equation is L + 2L + (2L + 15) = 290.

Front

What is the first step in solving the equation L + 2L + (2L + 15) = 290?

Back

Combine like terms: 5L + 15 = 290.

Front

How do you isolate the variable L in the equation 5L + 15 = 290?

Back

Subtract 15 from both sides: 5L = 275, then divide by 5: L = 55.

Front

What is Jordan's score if LeBron scored 55 points?

Back

Jordan scored 2L = 2(55) = 110 points.

Front

What is the importance of declaring your answer in a word problem?

Back

Declaring your answer clearly indicates the final result and ensures that you have answered the question asked.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its most basic form without changing its value.