50 Challenging Algebra Problems (Fully Solved)

These 50 challenging algebra problems involve applying a variety of algebra skills. The exercises come with a good range of difficulty from milder challenges to very hard problems. On the page following each problem you can find the full solution with explanations.

• quadratic equations
• system of equations
• cross multiplying
• factoring and distributing
• the f.o.i.l. method
• roots and powers
• fractions and negative numbers
• slopes and y-intercepts of straight lines
• word problems
• applications

THE IMPROVE YOUR MATH FLUENCY SERIES OF WORKBOOKS
Chris McMullen, Ph.D.

This series of math workbooks is geared toward practicing essential math skills. As a physics teacher, Dr. McMullen observed that many students lack fluency in fundamental math skills. In an effort to help students of all ages and levels master basic math skills, he published this series of math workbooks on arithmetic, fractions, algebra, trigonometry, and more.

RELATED BOOKS IN THE IMPROVE YOUR MATH FLUENCY SERIES
Algebra Essentials Practice Workbook with Answers. Practice essential skills like solving for unknowns, factoring, the quadratic formula, and substitution. Each section begins with a short review, including examples. ISBN: 1453661387.

Algebra Word Problems Practice Workbook with Full Solutions. Practice solving a variety of a word problems using algebra. Includes examples, strategies, a quick algebra refresher, and 70 fully-solved word problems. ISBN: 1941691293.

Systems of Equations: Substitution, Simultaneous, Cramer's Rule. Practice solving systems of equations (two equations with two unknowns, or three equations with three unknowns). Includes 2x2 and 3x3 determinants. Each section begins with a short review, including examples. ISBN: 1941691048.

Trigonometry Essentials Practice Workbook with Answers. Practice essential skills, including conversion from degrees to radians, trig functions, special triangles, the reference angle, going beyond Quadrant I, inverse trig functions, the law of sines, the law of cosines, and trig identities. Each chapters begins with a short review, including examples. ISBN: 1477497781.

Basic Linear Graphing Skills Practice Workbook. Learn basic coordinate algebra graphing skills, including the four Quadrants, plotting points, finding slope, y-intercept, and the equation for a straight line. Each section begins with a short review, including examples. ISBN: 1941691056.

Practice Adding, Subtracting, Multiplying, and Dividing Fractions Workbook: This workbook provides ample practice with these essential fraction skills. Each section begins with a concise explanation and a couple of examples to serve as a guide. ISBN: 1451534701.

Practice Adding, Subtracting, Multiplying, and Dividing Mixed Fractions Workbook: Just like the previous workbook, except it uses mixed fractions. ISBN: 1460993594.

Practice Arithmetic with Decimals Workbook: This workbook provides ample practice with these essential decimal skills. Each section begins with a concise explanation and a couple of examples to serve as a guide. ISBN: 145362693X.

Practice Addition, Subtraction, Multiplication, and Division with Negative Numbers Workbook: This workbook provides ample practice with negative number arithmetic. Each section begins with a concise explanation and a couple of examples to serve as a guide. ISBN: 1451547609.