Practice algebra questions about solving equations, simplifying expressions, evaluating formulas, inequalities, exponents, and basic systems. Use hints when needed, choose an answer, and review the explanation after each question.
You answered 0 out of 10 questions correctly.
This 10-question algebra quiz checks several connected skills: solving linear equations, combining like terms, substituting values into expressions, using the distributive property, solving a basic inequality, evaluating powers, working with variables on both sides of an equation, and solving a simple two-equation system.
Use the hint only after you have tried to identify the first step yourself. After answering, compare the explanation with your own method. If your final answer was correct but your reasoning was different, check that every transformation still preserves the original equation or inequality.
The questions are short, but they test habits that continue into harder algebra: preserving equality, recognizing structure, controlling signs, and choosing an efficient operation.
Undo operations in a logical order, keep both sides balanced, and collect variable terms when x appears on both sides.
Combine only like terms, distribute a factor to every term inside parentheses, and preserve coefficients and signs.
Replace the variable with the complete given value. Parentheses matter when a negative number is raised to a power.
Use inverse operations for inequalities and elimination or substitution when two equations describe the same unknowns.
A stronger algebra problem often combines distribution, like terms, variables on both sides, and a final check instead of testing each skill separately.
The goal is not to “move” symbols by memory. Each line should come from performing a valid operation or simplifying an equivalent expression.
These are small errors in an easy-to-medium problem, but the same habits become much more expensive in functions, quadratics, and exam-style algebra.
A factor outside parentheses multiplies every term inside the parentheses.
When x = −4, the expression x² means the entire value of x is squared.
In a system, elimination may give one variable first. Make sure that variable is the quantity requested by the question.
The score is useful only if it leads to a specific next step. Review the explanations for missed questions before repeating the test.
Review equation balance, like terms, substitution, and the distributive property before trying harder algebra questions.
You have the main ideas, but one or two skills are still inconsistent. Group your missed questions by skill and practice that topic directly.
Move into more focused equation and inequality practice, especially problems with several transformations or variables on both sides.