1st Semester Exam Study Guide Algebra I

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

Solve the equation: -2(x + 3) = 6x + 8. What is the value of x?

Back

x = -\frac{2}{4} or x = -\frac{1}{2}.

Front

What is the value of f(4) if f(x) = 40x?

Back

f(4) = 40(4) = 160.

Front

What is the Addition Property of Equality?

Back

The Addition Property of Equality states that if you add the same number to both sides of an equation, the two sides remain equal.

Front

What is the Multiplication Property of Equality?

Back

The Multiplication Property of Equality states that if you multiply both sides of an equation by the same non-zero number, the two sides remain equal.

Front

Solve for x: 2(24x - 14) = 3(13x + 25). What is the first step?

Back

Distribute both sides: 48x - 28 = 39x + 75.

Front

What does g(x) represent in a function?

Back

g(x) represents the output of the function g for a given input x.

Front

If g(4) = 5, what does this mean?

Back

It means that when the input to the function g is 4, the output is 5.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the purpose of solving an equation?

Back

The purpose of solving an equation is to find the value(s) of the variable(s) that make the equation true.