Linear Equations and Functions

What is the slope of the line with the equation y = 3x + 2?

• 5

• 1

• 4

• 3

Tags

CCSS.8.EE.B.5

Find the y-intercept of the line with the equation y = -2x + 5.

• 0

• 3

• -2

• 5

Explain the concept of slope-intercept form in linear equations.

• The slope-intercept form of a linear equation is y = mx * b, where m is the slope and b is the y-intercept.

• The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

• The slope-intercept form of a linear equation is y = mx / b, where m is the slope and b is the y-intercept.

• The slope-intercept form of a linear equation is y = mx - b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

A car rental company charges a flat fee of $50 plus $20 per day for renting a car. Write a linear equation to represent the total cost (y) in terms of the number of days (x) the car is rented.

• y = 50x + 20

• y = 50x - 20

• y = 20x - 50

• y = 20x + 50

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Identify the slope of the line passing through the points (2, 5) and (4, 9).

• The slope of the line passing through the points (2, 5) and (4, 9) is (2 - 5) / (4 - 9) = -3 / -5 = 0.6

• The slope of the line passing through the points (2, 5) and (4, 9) is (9 - 2) / (4 - 5) = 7 / -1 = -7

• The slope of the line passing through the points (2, 5) and (4, 9) is (9 - 5) / (4 - 2) = 4 / 2 = 2.

• The slope of the line passing through the points (2, 5) and (4, 9) is (5 - 2) / (9 - 4) = 3 / 5 = 0.6

Tags

CCSS.8.EE.B.5

Determine the y-intercept of the line represented by the equation y = 2x - 3.

• 2

• 5

• 0

• -3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

How can linear equations be used to model real-life situations?

• Linear equations are too simplistic to accurately model the complexities of real-life situations.

• Linear equations can only be used for theoretical calculations and not for real-life situations.

• Linear equations are only applicable to abstract mathematical problems and not to real-life scenarios.

• Linear equations can be used to model real-life situations by representing relationships between two variables that have a constant rate of change.

Tags

CCSS.8.EE.C.7B

A phone company charges a monthly fee of $30 and $0.10 per minute for calls. Write a linear equation to represent the total cost (y) in terms of the number of minutes (x) used.

• y = 30x + 0.10

• y = 30 + 0.10x

• y = 0.10x - 30

• y = 30 - 0.10x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Explain the significance of the slope in a linear equation.

• The slope in a linear equation has no significance

• The slope in a linear equation represents the y-intercept

• The slope in a linear equation is always equal to 1

• The significance of the slope in a linear equation is that it indicates how much the dependent variable (y) changes for a unit change in the independent variable (x).

Tags

CCSS.8.EE.B.5

A garden is 12 feet long and 8 feet wide. Write a linear equation to represent the area (A) of the garden in terms of its length (L).

• A = 12L

• A = 12 / L

• A = 12 + L

• A = 8L