Enhanced Algebra Final Exam Review

Front

What does a correlation coefficient of -0.75 indicate about the relationship between two variables?

Back

There is a strong negative linear association between the two variables.

Front

If a younger brother spends $175 on 7 shirts and 7 pairs of shorts, and an older brother spends $165 on 6 shirts and 7 pairs of shorts, how do you find the cost of one shirt?

Back

Set up a system of equations based on the total costs and solve for the price of one shirt.

Front

Simplify the radical √20a²b⁴.

Back

2ab²√5

Front

How do you find the midpoint of a segment with endpoints (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

Front

Solve the inequality: 7(x + 3) < 5x + 13.

Back

x < -4.

Front

What is the definition of a linear model in statistics?

Back

A linear model is a mathematical representation of the relationship between two variables using a straight line.

Front

What does it mean if two variables have a strong negative correlation?

Back

As one variable increases, the other variable tends to decrease.

Front

How do you simplify a radical expression?

Back

Factor the number under the radical into perfect squares and simplify accordingly.

Front

What is the formula for the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the significance of the independent variable in a linear model?

Back

The independent variable is the variable that is manipulated or changed to observe its effect on the dependent variable.