Algebra 1 Midterm Review

Front

What is the formula for the total cost of renting a canoe from Joe’s Canoes?

Back

Total Cost = Initial Fee + (Hourly Rate × Number of Hours) = 20 + 4h

Front

How do you find the number of hours where two different pricing models are equal?

Back

Set the total costs equal to each other and solve for the variable representing hours.

Front

What is the definition of an inequality?

Back

An inequality is a mathematical statement that indicates one quantity is larger or smaller than another, using symbols like <, >, ≤, or ≥.

Front

What does the graph of an inequality represent?

Back

The graph shows all the possible solutions that satisfy the inequality.

Front

How do you evaluate a function at a specific value?

Back

Substitute the specific value into the function's equation and simplify.

Front

Given h(x) = 5 - 9x, what is h(8)?

Back

h(8) = 5 - 9(8) = 5 - 72 = -67.

Front

What does |x + 5| < 9 mean?

Back

It means the distance between x and -5 is less than 9.

Front

How do you solve the inequality |x + 5| < 9?

Back

Split into two inequalities: -9 < x + 5 < 9, then solve for x.

Front

What is the first step in solving the equation 1/5x + 6 = 3/5x + 5?

Back

Multiply all terms by the common denominator (5) to eliminate fractions.

Front

What error did the student make in solving the equation 1/5x + 6 = 3/5x + 5?

Back

The student did not multiply all terms by the common denominator.