Unit 4 Grade 8 IM Review

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that can satisfy the equation. For example, the equation 4x - 6 = 4x + 3 has no solution because simplifying both sides leads to a contradiction.

Tags

CCSS.8.EE.C.7A

Front

What does it mean if an equation has infinite solutions?

Back

It means that there are an unlimited number of values for the variable that can satisfy the equation. For example, the equation 6x - 4 = -4 + 6x has infinite solutions because both sides are equivalent.

Tags

CCSS.8.EE.C.7A

Front

Back

Tags

CCSS.7.EE.B.4A

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable helps to find its value by getting it alone on one side of the equation.

Tags

CCSS.6.EE.B.7

Front

What does the graph of a system of equations look like when it has one solution?

Back

The graph shows two lines that intersect at one point.

Tags

CCSS.8.EE.C.8A

Front

What does the graph of a system of equations look like when it has two parallel lines?

Back

The graph shows two lines that never intersect, indicating that there are no solutions.

Tags

CCSS.8.EE.C.8A

Front

What is the process of checking if an equation has one solution, no solution, or infinite solutions?

Back

You can simplify both sides of the equation and see if they are equivalent, contradictory, or identical.

Tags

CCSS.8.EE.C.7A

Front

What does it mean to subtract 3 from each side of an equation?

Back

It means to take away 3 from both sides to maintain the equality, which helps in isolating the variable.

Tags

CCSS.6.EE.B.7

Front

What is the significance of the coefficient in an equation?

Back

The coefficient is the number that multiplies the variable, affecting the slope and position of the line when graphed.

Front

How do you determine the number of solutions in a system of equations?

Back

By analyzing the slopes and intercepts of the lines represented by the equations.

Tags

CCSS.8.EE.C.8B