Algebra 1 Unit 1 Review

Front

What is the total cost of attending the county fair if admission is $5 and each ride costs $0.50?

Back

Total cost = Admission + (Cost per ride × Number of rides). If you have $20, you can go on 30 rides.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions if any value of the variable satisfies the equation, indicating that the two sides are equivalent for all values.

Front

What is the solution to the equation 2b - 5 = 9?

Back

To solve for b: 2b = 14, b = 7. There is one solution.

Front

How do you solve the equation 7x - 3x - 8 = 24?

Back

Combine like terms: 4x - 8 = 24. Add 8 to both sides: 4x = 32. Divide by 4: x = 8.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value of the variable that can satisfy the equation, indicating a contradiction.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is a variable in algebra?

Back

A variable is a symbol (often a letter) that represents an unknown value in mathematical expressions or equations.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign. An equation states that two expressions are equal.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to get the variable alone on one side of the equation.

Front

What is the solution to the equation 2(3g + 1) = 3g + 1 + 3g?

Back

This equation has no solution because simplifying both sides leads to a contradiction.