Algebra 1 Midterm Review

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is a set of values for the variables that makes all the equations true simultaneously.

Front

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

Back

It means that the equations represent parallel lines that never intersect.

Front

What is the Commutative Property?

Back

The Commutative Property states that the order of addition or multiplication does not change the result. For example, a + b = b + a.

Front

What is the first step in solving the equation 7v + 15 = 4(5v + 7)?

Back

Distribute 4: 7v + 15 = 20v + 28.

Front

What is the formula for exponential growth?

Back

The formula for exponential growth is y = a(1 + r)^t, where a is the initial amount, r is the growth rate, and t is time.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means that the equations represent the same line, and every point on the line is a solution.

Front

What is the Associative Property?

Back

The Associative Property states that the way numbers are grouped in addition or multiplication does not change the result. For example, (a + b) + c = a + (b + c).

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside parentheses.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.