Algebra I Review

Front

What is the solution to the system of equations graphed by Steffen?

Back

The solution is the point where the two lines intersect. In this case, the solution is (-3,-8).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. For the given line, the y-intercept is 4.

Front

How do you solve the inequality -2(x-3) > 36?

Back

To solve the inequality, first distribute -2: -2x + 6 > 36. Then, subtract 6 from both sides: -2x > 30. Finally, divide by -2 (remember to flip the inequality): x < -15.

Front

Rewrite (x+3)^2 as a sum.

Back

(x+3)^2 can be rewritten as x^2 + 6x + 9.

Front

Solve for a in the equation 2a + 10 = 0.

Back

To solve for a, subtract 10 from both sides: 2a = -10. Then divide by 2: a = -5.

Front

What is the definition of a linear equation?

Back

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

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows the relationship between expressions that are not necessarily equal.