2021 Keystone Algebra I Module 1 Sampler

Front

What is the equation that describes the total cost (y) of a delivery order of cupcakes if each cupcake costs $1.15 and there is a delivery fee of $10.95?

Back

y = 1.15x + 10.95

Front

If Darlene collects 2 prize tickets at the end of 1 day, what is the equation that describes the relationship between the number of days (x) and the number of prize tickets (y) she has collected?

Back

y = 2x + 1

Front

What property is used when expanding the expression 4(x – 8) in the equation 4(x – 8) = 7(x – 4)?

Back

Distributive Property

Front

What is the solution set of the inequality 2x + 3 < 7?

Back

x < 2

Front

What does the term 'inequality' mean in mathematics?

Back

An inequality is a mathematical statement that indicates one quantity is less than, greater than, less than or equal to, or greater than or equal to another quantity.

Front

How do you solve the equation 4x - 32 = 7x - 28 for x?

Back

x = 4

Front

What is the meaning of the slope in a linear equation?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

What is the y-intercept in the equation y = 2x + 1?

Back

The y-intercept is 1, which is the value of y when x = 0.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

What does it mean for a solution to be valid in the context of an inequality?

Back

A valid solution satisfies the inequality when substituted back into the original expression.