8th Grade Unit 3 Linear Equations and Linear Systems

Front

What does 'm' represent in the slope-intercept form of a linear equation (y=mx+b)?

Back

The slope (rate of change)

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Solve the system of equations: x + y = 21, 6x + 4y = 104. What are the values of x and y?

Back

(10, 11)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the y-intercept of a line if the line crosses the y-axis at 4?

Back

4

Front

If Raul weighs 180 lbs and is 8 lbs less than twice his sister's weight, what is the difference between their weights?

Back

86 lbs

Front

What equation represents the relationship between the number of months (x) and total membership (y) if a fitness club starts with 80 members and increases by 15 members each month?

Back

y = 15x + 80

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the term 'slope' refer to in a linear equation?

Back

The rate of change of the line, indicating how much y changes for a change in x.

Tags

CCSS.8.EE.B.5

Front

What is the x-intercept of a line?

Back

The point where the line crosses the x-axis (y=0).

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers.