Algebra C&C Support Final Review

Front

What is the formula for finding the length of a missing side in a right triangle?

Back

Use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.

Tags

CCSS.8.G.B.8

Front

What does the inequality s ≤ 55 represent in the context of speed limits?

Back

It indicates that the speed (s) must be less than or equal to 55 miles per hour.

Tags

CCSS.6.EE.B.8

Front

How do you determine the equation of a line from a graph?

Back

Identify the slope and y-intercept from the graph to form the equation in the slope-intercept form y = mx + b.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

What does the base in an exponential growth equation represent?

Back

The base represents the growth factor; for example, in y = 200(1.08)ⁿ, the base 1.08 indicates an 8% increase.

Tags

CCSS.HSF.LE.B.5

Front

What is the result of multiplying (x + 5)(x - 4)?

Back

The product is x² + x - 20.

Tags

CCSS.HSA.APR.A.1

Front

What is the definition of a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

What does the slope of a line represent?

Back

The slope indicates the rate of change of y with respect to x; it shows how steep the line is.

Tags

CCSS.8.EE.B.5

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows the relationship between expressions that are not necessarily equal.

Tags

CCSS.6.EE.B.8

Front

How do you solve a linear equation for a variable?

Back

Isolate the variable on one side of the equation using inverse operations.

Tags

CCSS.7.EE.B.4A

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.