Algebra 1 EOC Review- Category #1

What is the domain of a function?

• The set of all possible output values (y-values) for which the function is defined.

• The set of all possible input values (x-values) for which the function is defined.

• The range of values that a function can take.

• The maximum and minimum values of a function.

What is the square root of 147?

• @@7\\sqrt{3}@@

• @@12@@

• @@10.5@@

• @@14@@

What is the formula for the area of a rectangle?

• Area = Length + Width

• Area = Length × Width

• Area = Length - Width

• Area = Length ÷ Width

What is the definition of a variable in algebra?

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

• A variable is a fixed value that does not change in an equation.

• A variable is a number that can be calculated directly from other numbers.

• A variable is a type of constant that remains the same throughout a problem.

What is the purpose of factoring in algebra?

• To simplify expressions, solve equations, and find roots of polynomials.

• To perform long division of polynomials.

• To convert fractions into decimals.

• To calculate the area of geometric shapes.

What does it mean for two expressions to be equivalent?

• Two expressions are equivalent if they have the same value for all values of the variables involved.

• Two expressions are equivalent if they are written in the same way.

• Two expressions are equivalent if they contain the same number of terms.

• Two expressions are equivalent if they can be simplified to the same expression.

Which of the following represents a function: {(1,2), (1,3), (2,4)}?

• This set represents a function because each input has a unique output.

• This set does NOT represent a function because the input '1' corresponds to two different outputs (2 and 3).

• This set represents a function because it contains only one pair for each input.

• This set does NOT represent a function because it has more than three pairs.

How do you simplify @@\sqrt{a^2b}@@?

• @@a\sqrt{b}@@

• @@\frac{a}{\sqrt{b}}@@

• @@\sqrt{a^2} + \sqrt{b}@@

• @@a^2\sqrt{b}@@

If the area of a rectangle is @@54x^9y^8@@ and the length is @@6x^3y^4@@, how do you find the width?

• Width = @@rac{54x^9y^8}{6x^3y^4} = 9x^6y^4@@

• Width = @@rac{54x^9y^8}{12x^3y^4} = 4.5x^6y^4@@

• Width = @@rac{54x^9y^8}{3x^3y^4} = 18x^6y^4@@

• Width = @@rac{54x^9y^8}{9x^3y^4} = 6x^6y^4@@

What does it mean for a graph to be a function?

• A graph represents a function if it is a straight line.

• A graph represents a function if every vertical line intersects the graph at most once (Vertical Line Test).

• A graph represents a function if it is a closed shape.

• A graph represents a function if it has at least one point on the x-axis.