Q2 Week 8 Homework

Front

What is the result of reflecting point (3, -5) over the x-axis?

Back

(3, 5) - Reflecting a point over the x-axis changes the sign of the y-coordinate.

Front

Simplify the expression: - (3v - 8)

Back

-3v + 8 - Distributing the negative sign changes the signs of the terms inside the parentheses.

Front

Which of the following is equivalent to 6(4a + 3)?

Back

24a + 18 - Use the distributive property to multiply each term inside the parentheses by 6.

Front

If a rectangle is translated 4 units left and 2 units up, what is the new position of its top-right corner originally at (6, 3)?

Back

(2, 5) - Subtract 4 from the x-coordinate and add 2 to the y-coordinate.

Front

Combine like terms: y + x + y + y + x

Back

2x + 3y - Add the coefficients of like terms together.

Front

What is the definition of a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by multiple terms inside parentheses.

Front

How do you translate a point in the coordinate plane?

Back

To translate a point, you add or subtract values from its x and y coordinates.

Front

What is a like term in algebra?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the result of simplifying the expression: 5x + 3x?

Back

8x - Combine like terms by adding their coefficients.