Semester 1 Final Exam Review

Front

What is the y-intercept of the equation 3x + y = 5?

Back

The y-intercept is the point where the line crosses the y-axis. For the equation 3x + y = 5, the y-intercept is (0, 5).

Front

How do you write the slope-intercept form of an equation given a point and slope?

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept. For the point (-1, 4) and slope m = -3, the equation is y = -3x + 1.

Front

Solve for k: 9 + k = 18

Back

To solve for k, subtract 9 from both sides: k = 18 - 9, so k = 9.

Front

Back

To solve for x, multiply both sides by 5: x = 2 * 5, so x = 10.

Front

Solve for a: 4(a + 3) = -32

Back

First, divide both sides by 4: a + 3 = -8. Then, subtract 3 from both sides: a = -8 - 3, so a = -11.

Front

What is the definition of slope in a linear equation?

Back

Slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).

Front

What does the slope-intercept form of a linear equation look like?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the y-intercept from a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the process to isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation 2x + 3 = 11?

Back

Subtract 3 from both sides: 2x = 8. Then divide by 2: x = 4.