Geometry Unit 1 Day 2 Algebra Review and Segment Addition

Front

What is the Segment Addition Postulate?

Back

The Segment Addition Postulate states that if point B is between points A and C, then AB + BC = AC.

Front

If DF = 9x - 39, how do you find EF?

Back

To find EF, you need to know the value of x. If x = 8, then DF = 9(8) - 39 = 58.

Front

How do you solve the equation 24 + 4x = -3x - 32?

Back

Combine like terms: 4x + 3x = -32 - 24; thus, 7x = -56; x = -8.

Front

What does it mean for AD to be a perpendicular bisector?

Back

AD being a perpendicular bisector means it divides the segment into two equal parts at a right angle.

Front

Solve for x: 52 = 4x + 4(-3x - 7). What is x?

Back

Combine like terms: 52 = 4x - 12x - 28; thus, 52 + 28 = -8x; x = -10.

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol used to represent an unknown value, often denoted by letters such as x, y, or z.

Front

What is the purpose of solving equations?

Back

The purpose of solving equations is to find the value(s) of the variable(s) that make the equation true.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one and graphs as a straight line.

Front

What does it mean to isolate a variable?

Back

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

Front

What is the solution to the equation 2a - 6(a - 4) = -4?

Back

Distributing gives 2a - 6a + 24 = -4; thus, -4a + 24 = -4; solving gives a = 7.