Eye On Mastery ALGEBRA I PRACTICE SETS

Description

This collection of practice problems covers eleven essential topics in Algebra I. Each topic is divided into standards related to essential topic. The number of questions for each topic and for the standards in the topic are listed. With each standard question set, a teacher copy is included that has the correct answers. The entire bundle has 558 items. The cost of each of these separate sections is $25 per section per teacher. These materials may be duplicated by more than one teacher if you choose the Bundle for 2+ Teachers.

Lesson Descriptions:

• Introduction to Functions (48 Questions) –

Decide whether relations represented verbally, tabularly, graphically, or symbolically define a function. (9 Questions)

Determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real-world situations, and represent domain and range using inequalities. (17 Questions)

Evaluate functions, expressed in function notation, given one or more elements in their domains. (12 Questions)

Write and solve equations involving direct variation. (10 Questions)

 

• Graphs of Linear Functions (49 Questions) –

Calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems. (14 Questions)

Determine the effects on the graph of the parent function f(x) = x when f(x) is replaced by af(x), f(x) + d, f(x – c), f(bx) for specific values of a, b, c, and d. (9 Questions)

Determine the slope of a line given a graph, two points on the line, or an equation written in various forms. (12 Questions)

Graph linear functions on the coordinate plane and identify key features in mathematical and real-world problems. (14 Questions)

 

• Equations of Linear Functions (70 Questions) –

Solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides. (18 Questions)

Write an equation of a line that is parallel or perpendicular to the X or Y axis and determine whether the slope of the line is zero or undefined. (14 Questions)

Write linear equations in two variables given a table of values, a graph, or a verbal description. (14 Questions)

Write linear equations in two variables in various forms, given one point and the slope or given two points. (10 Questions)

Write the equation of a line that contains a given point and is parallel to a given line. (7 Questions)

Write the equation of a line that contains a given point and is perpendicular to a given line. (7 Questions)

 

• Systems of Linear Functions (49 Questions) –

Estimate graphically the solutions to systems of two linear equations with two variables in real-world problems. (10 Questions)

Graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist. (8 Questions)

Solve systems of two linear equations with two variables for mathematical and real-world problems. (17 Questions)

Write systems of two linear equations given a table of values, a graph, or a verbal description. (14 Questions)

 

• Inequalities and Literal Equations (41 Questions) –

Graph the solution set of linear inequalities in two variables on the coordinate plane. (7 Questions)

Graph the solution set of systems of two linear inequalities in two variables on the coordinate plane. (6 Questions)

Solve mathematic and scientific formulas, and other literal equations, for a specified variable. (8 Questions)

Solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides. (10 Questions)

Write linear inequalities in two variables given a table of values, a graph, or a verbal description. 11 Questions)

 

• Statistical Relationships (34 Questions) –

Calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity as a measure of the strength of the linear association. (10 Questions)

Compare and contrast association and causation in real-world problems. (11 Questions)

Write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems. (13 Questions)

 

• Polynomials (76 Questions) –

Add and subtract polynomials of degree one and degree two. (10 Questions)

Divide polynomials of degree two by polynomials of degree one. (12 Questions)

Factor binomials of the form a2 + b2. (13 Questions)

Factor, if possible, trinomials with real factors in the form ax2 + bx + c. (20 Questions)

Multiply polynomials of degree one and degree two. (10 Questions)

Use the distributive property to write polynomial expressions of degree one and degree two in equivalent forms. (11 Questions)

 

• Sequences (24 Questions) –

Identify terms of arithmetic and geometric sequences. (12 Questions)

Write a formula for the nth term of arithmetic and geometric sequences. (12 Questions)

 

• Radical and Exponential Expressions (33 Questions) –

Simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents. (19 Questions)

Simplify numerical radical expressions involving square roots. (14 Questions)

 

• Quadratic Functions (93 Questions) –

Describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions. (9 Questions)

Determine the domain and range of quadratic functions and represent the domain and range using inequalities. (16 Questions)

Determine the effects on the graph of the parent function f(x) = x2 when f(x) is replaced by af(x), f(x) + d, f(x – c), f(bx) for specific values of a, b, c, and d. (14 Questions)

Graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible, including x-intercept, y-intercept, zeros, maximum value, minimum value, vertex, and the equation of the line of symmetry. (22 Questions)

Solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula. (18 Questions)

Write equations of quadratic functions given the vertex and another point on the graph, write the equation in vertex form (f(x) = a(x – h)2 + k), and rewrite the equation from vertex form to standard form. (8 Questions)

Write quadratic functions when given real solutions and graphs of their related equations. (8 Questions)

Write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems. (8 Questions)

 

• Exponential Functions (41 Questions) –

Determine the domain and range of exponential functions of the form f(x) = abx and represent the domain and range using inequalities. (9 Questions)

Graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems. (12 Questions)

Interpret the meaning of the values of a and b in exponential functions of the form f(x) = abx in real-world problems. (8 Questions)

Write exponential functions in the form f(x) = abx (where b is a rational number) to describe problems arising from mathematical and real-world situations, including growth and decay. (6 Questions)