Writing-Solving Equations & Inequalities and Funtions Review

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

Which of the following sets of values is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

(6,-5) (7, -3) (8, -1) (9, 1) is a function.

Front

How do you write an equation for a word problem?

Back

Identify the variables, set up the equation based on the relationships described, and solve for the unknown.

Front

Write an equation for the following situation: 331 students went on a field trip. Six buses were filled and 7 students traveled in cars.

Back

331 = 6x + 7, where x is the number of students in each bus.

Front

What is the solution to the equation -5t + 9 = 24?

Back

t = -3.

Front

What does it mean for a graph to be a function?

Back

A graph represents a function if any vertical line drawn through it intersects the graph at most once.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

How do you solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides: 2x < 8, then divide by 2: x < 4.

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 or less than another.

Front

What is the slope-intercept form of a linear equation?

Back

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