Algebraic Expressions and Simplification

The video tutorial covers solving and simplifying various algebraic problems. It starts with analyzing the graph of a system of equations, followed by simplifying algebraic fractions with exponents. The tutorial then moves on to simplifying polynomial expressions and finding the sum of two binomials. It also includes simplifying expressions using the order of operations and concludes with calculating the area of a rectangle.

What is the relationship between two lines if they are described by the same equation?

• They are parallel.

• They are perpendicular.

• They are identical.

• They intersect at two points.

Tags

CCSS.8.EE.C.8A

Which of the following is not a possible relationship between two lines in a system of equations?

• They intersect at one point.

• They intersect at two points.

• They are parallel.

• They are identical.

Tags

CCSS.HSA.APR.A.1

How can you simplify the expression 5x^3 / 10x^7?

• 1/2x^4

• 2x^4

• x^4/2

• 5x^4

Tags

CCSS.HSA.APR.A.1

What is the simplified form of 5/10 times x^3 times x^-7?

• x^4/2

• 5x^4

• 1/2x^4

• 2x^4

Tags

CCSS.HSA.APR.A.1

What is the result of simplifying 4x^2 - 2x + 8 - (x^2 + 3x - 2)?

• 3x^2 + 5x + 10

• 3x^2 - 5x - 10

• 3x^2 + 5x - 10

• 3x^2 - 5x + 10

Tags

CCSS.6.EE.A.3

How do you simplify the expression 4x^2 - 2x + 8 - x^2 + 3x - 2?

• 3x^2 - 5x + 10

• 3x^2 + 5x - 10

• 3x^2 - 5x - 10

• 3x^2 + 5x + 10

Tags

CCSS.HSA.APR.A.1

If the sum of two binomials is 5x^2 - 6x and one of them is 3x^2 - 2x, what is the other binomial?

• 2x^2 + 4x

• 2x^2 - 6x

• 2x^2 + 6x

• 2x^2 - 4x

Tags

CCSS.6.EE.A.3

Which expression is equivalent to (x + 2) + (x - 2)(2x + 1)?

• 2x^2 - 2x

• 2x^2 + 2x

• 2x^2 - 4x

• 2x^2 + 4x

Tags

CCSS.HSA.APR.A.1

What is the area of a rectangle with width x and length 2x?

• x^2

• 3x^2

• 4x^2

• 2x^2

Tags

CCSS.HSA.APR.A.1

What is the result of multiplying (x - 2) by (2x + 1)?

• 2x^2 - 2x

• 2x^2 + 2x

• 2x^2 - 4x

• 2x^2 + 4x

Tags

CCSS.HSA.APR.A.1