The Things I do for 8th Grade

Find the slope of the line that passes through (3, 9) and (6, 8). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

-1/3

Find the slope of the line that passes through (9, 8) and (1, 5). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

3/8

Find the slope of the line that passes through (10, 10) and (2, 3).

7/8

How many degrees Fahrenheit is 25°𝑪?

77°F

There is a line that includes the point (1, 8) and has a slope of 2. What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.

y = 2x + 6

A line passes through the points (3, 2) and (4, 4). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.

y = 2x - 4

A line includes the points (0, 2) and (1, 5). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.

y = 3x + 2

A line has a slope of 8 and passes through the point (2, 7) . What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.

y = 8x - 9

The slope-intercept form of a linear equation is

y = mx + b

Derek tells you that the number of two-point shots that he made is five more than the number of three-point shots. How many combinations can you come up with that fit this scenario? (Don't worry about the total number of points.) Then create an equation to describe the data. Let 𝒙 represent the number of two-pointers and 𝒚 represent the number of three-pointers.

𝒙 = 𝟓 + 𝒚

Efrain and Fernie are on a road trip. Each of them drives at a constant speed. Efrain is a safe driver and travels 45 miles per hour for the entire trip. Fernie is not such a safe driver. He drives 70 miles per hour throughout the trip. Fernie and Efrain left from the same location, but Efrain left at 8:00 a.m., and Fernie left at 11:00 a.m. Assuming they take the same route, will Fernie ever catch up to Efrain? If so, approximately when? Write the linear equation that represents Efrain's constant speed. Make sure to include in your equation the extra time that Efrain was able to travel.

𝒚 = 𝟒𝟓𝒙 + 𝟏𝟑𝟓

Efrain and Fernie are on a road trip. Each of them drives at a constant speed. Efrain is a safe driver and travels 45 miles per hour for the entire trip. Fernie is not such a safe driver. He drives 70 miles per hour throughout the trip. Fernie and Efrain left from the same location, but Efrain left at 8:00 a.m., and Fernie left at 11:00 a.m. Assuming they take the same route, will Fernie ever catch up to Efrain? If so, approximately when? Write the linear equation that represents Fernie's constant speed. Make sure to include in your equation the extra time that Efrain was able to travel.

𝒚 = 𝟕𝟎𝒙.

How many degrees Fahrenheit is 𝟒𝟐°𝑪?

𝟏𝟎𝟕. 𝟔°F

How many degrees Fahrenheit is 94°C?

𝟐𝟎𝟏. 𝟐°F

Derek scored 𝟑𝟎 points in the basketball game he played, and not once did he go to the free throw line. That means that Derek scored two-point shots and three-point shots. On scrap paper, first list as many combinations of two- and three-pointers (T Chart) as you can that would total 𝟑𝟎 points. Then write an equation to describe the data

𝟑𝟎 = 𝟐𝒙 + 𝟑y

Is (1, 10) a solution to this system of equations? y = x + 9 y = 7x + 3

Yes

Is (2, 3) a solution to this system of equations? 5x + 3y = 19 x + y = 5

Yes

Is (2, 9) a solution to this system of equations? y = x + 7 y = 4x + 1

Yes

Is (3, 9) a solution to this system of equations? y = 2x + 3 y = x + 6

Yes

Is (1, 9) a solution to this system of equations? y = 7x + 2 y = x + 4

No

Is (10, 10) a solution to this system of equations? 16x + 12y = 5 20x + y = 1

No

Is (2, 4) a solution to this system of equations? 18x + y = 16 4x + 13y = 14

No

Is (8, 5) a solution to this system of equations? 6x + 19y = 2 7x + y = 19

No

Slope = Change in Y

Over Change in X

1/3

Slope of this Graph

5/2

Slope of this Graph

y = 7x

What is the equation of the line in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.

y = x - 20

What is the equation of the line in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.

y = x - 900

What is the equation of the line in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.

Is (1, 1) a solution to this system of equations? 8x + y = 9 2x + 16y = 18

Yes