TYPES OF SOLUTIONS

Front

What is a solution in the context of equations?

Back

A solution is a value or set of values that satisfies an equation, making it true.

Front

What does it mean if an equation has one solution?

Back

It means there is exactly one value that satisfies the equation.

Tags

CCSS.8.EE.C.7B

Front

What does it mean if an equation has no solution?

Back

It means there are no values that can satisfy the equation, making it impossible to solve.

Tags

CCSS.8.EE.C.7A

Front

What does it mean if an equation has infinite solutions?

Back

It means there are countless values that satisfy the equation, often because the equation simplifies to a true statement.

Tags

CCSS.8.EE.C.7A

Front

Solve the equation: 3r - 5 = 2r. What is r?

Back

r = 5

Front

Simplify and determine the number of solutions: 3x - 7 = 3(x - 3) + 2.

Back

Infinite solutions.

Tags

CCSS.8.EE.C.7A

Front

How many solutions does the equation 3x + 2 = 3x + 2 have?

Back

Infinite solutions.

Tags

CCSS.8.EE.C.7A

Front

What is the solution to the equation 2x + 3 = 2x + 5?

Back

No solution.

Tags

CCSS.8.EE.C.7A

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the graphical representation of an equation with infinite solutions?

Back

The graph is a line that overlaps itself, indicating all points on the line are solutions.