Algebra 1 Review

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables. The solution is the point(s) where the graphs of the equations intersect.

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 in the equation and solve for x.

Front

What does it mean if a system of linear equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What is the power of a product rule in exponents?

Back

(a*b)^n = a^n * b^n, where a and b are any numbers and n is a positive integer.

Front

What is the definition of an exponential function?

Back

A function of the form f(x) = a*b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

What is the significance of the y-intercept in a linear equation?

Back

It is the point where the graph of the equation crosses the y-axis, found by setting x = 0.

Front

How do you simplify the expression (7x^3)^2 (x^8)^(1/2)?

Back

Use the power of a product and power of a power rules: (7^2)(x^(3*2))(x^(8/2)) = 49x^10.

Front

What does the term 'no solution' indicate in a system of equations?

Back

It indicates that the equations represent parallel lines that do not intersect.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The set of all possible output values (y-values) that the function can produce.