One, None, Infinitely Many Formative Assessment

Front

What does it mean if an equation has one solution?

Back

An equation has one solution when there is exactly one value for the variable that makes the equation true.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there is no value for the variable that can satisfy the equation.

Front

What does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions when any value for the variable makes the equation true.

Front

Solve for b: b - 4 = -2b + 5

Back

b = 3

Front

Solve for x: 2x - 3 + 4x = 27

Back

x = 5

Front

What is the first step to solve the equation: -4(3x + 2) = 3(-4x + 5)?

Back

Distribute -4 on the left side and 3 on the right side.

Front

What is the error in the following solution? 5x + 6 = 66; 5x - 6 = 66 - 6; 5x = 60; 5*5x = 60*5; x = 300

Back

The student multiplied by 5 instead of dividing by 5.

Front

Solve for y: 9y + 8 = 9y - 8

Back

No Solution

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

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.