Unit 2 Review

Front

Solve and graph the inequality: 77 ≤ 5 + 8n

Back

n ≥ 9

Front

Write an equation for a field trip where 4 students rode in cars and the rest filled nine buses with a total of 472 students.

Back

4 + 9x = 472

Front

Solve the inequality: -8 < 2(x + 4) or -3x + 4 > x - 4

Back

x < -8 or x < 2

Front

Solve for a: -3a + 8 = 14

Back

a = -2

Front

Solve: 3x + 15 = 3(x + 5)

Back

Infinitely Many Solutions

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality involves representing the solutions of the inequality on a number line or coordinate plane, using a solid line for 'greater than or equal to' and 'less than or equal to', and a dashed line for 'greater than' and 'less than'.

Front

What is the difference between 'no solution' and 'infinitely many solutions'?

Back

'No solution' means there are no values that satisfy the equation, while 'infinitely many solutions' means there are countless values that satisfy the equation.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the purpose of solving inequalities?

Back

The purpose of solving inequalities is to find the range of values that satisfy the inequality, which can be used in real-world applications.