8MA - First Semester Review (all)

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

Write an inequality for Tyler's planned purchase: soda for $1.50, candy bar for $0.75, and bananas at $1.15 per pound, with a maximum of $10 to spend.

Back

1.5 + 0.75 + 1.15x < 10

Front

What property justifies the first step in solving the inequality 5x - 2 > 3(x - 1)?

Back

Distributive Property

Front

What is the line of best fit for the scatter plot showing years worked and average hourly wage?

Back

y = \frac{3}{4}x + 8

Front

How do you find the hourly wage for someone who worked 8 years using the line of best fit?

Back

Substitute x = 8 into the equation: y = \frac{3}{4}(8) + 8 = 14.

Front

What is an outlier in a data set?

Back

An outlier is a data point that differs significantly from other observations in the data set.

Front

Identify the outlier in the data regarding ticket prices and attendance: (25, 25), (12, 200), (23, 250).

Back

There appears to be an outlier near (23, 250).

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the Addition Property of Inequality?

Back

If a < b, then a + c < b + c for any real number c.