Tutoring Things
What college do your coaches go to?
UMBC
Find the slope of the line that passes through (1, 2) and (4, 6).
6-2/ 4-1
4/3
For each equation, find the value of x when y = 3.
a) x + y = 11
x + 3 = 11
x + 3 - 3 = 11- 3
x = 8
3. Solve for b in each equation when x = –3 and y = 8.
a) y = 2x + b
8 = 2(–3) + b
8 = –6 + b
14 = b
2. a) What equation models the function represented in the table below?
x | y
2 | 6
3 | 9
5 |15
A. y = 3x
B. y = x + 3
C. y = x + 4
D. y = 6x
A. y = 3x
Name 2 of the REACH expectations?
Respect, effort, attitude, cooperation, honesty
Find the slope of the line that passes through the points (1, 5) and (5, 8)
8-5/ 5-1
3/4
If y = 3, solve for x
3x + 8y = 36
3 x + 8 (3) = 36
3x + 24 -24 = 36 - 24
3x = 12
3x/3 = 12/3
x = 4
A line passes through the point (4, 11). The
y-intercept of the line is 1 and the slope is –1/2.
Hanna wants to write the equation for the line in
slope-intercept form as y = mx + b. Which value
represents m?
A. 4
B. 11
C. –1/2
D. 1
C. -1/2
You have a stack of $5 bills. The value of the bills in dollars, v, is a function of n, the number of bills you have.
Which equation represents this function?
A. v = n + 5
B. v = 5n
C. v = 5n + 5
D. v = n — 5
B. v = 5n
Why do we come to tutoring?
To grow our math skills and make sure we are ready for highschool. More individualized support for topics.
Identify the slope and y-intercept of the following line
y = 1/3 x + 2
slope: 1/3
y intercept: 2
Which point is a solution to 8x — 2y = 32?
A. (0, 16)
B. (2, –8)
C. (0, 4)
D. (4, 2)
B. (2, –8)
A line has a slope of –4 and passes through
the point (–3, 4).
a) Find the y-intercept of the line.
y = mx + b
4 = –4(–3) + b
4 = 12 + b
–8 = b
(0, –8) OR –8
You make 10 dollars per lawn you mow in the summer. How much would you make after mowing 5 lawns.
y = 10 (5)
50
Name 2 things you have learned about in tutoring. Math topics only!
Answers may vary
One of the equations below represents the horizontal line, while the other represents the vertical line. Which is which? Explain.
x = 2
y = 2
The equation x = 2 represents the vertical line because every point on that line has an x-coordinate of 2. The equation y = 2 represents the horizontal line because every point on that line has a y-coordinate of 2.
x = 2 (vertical)
y = 2 (horizontal)
The graph of a linear relationship has a
y-intercept of –4 and a slope of 1/ 2. Which
equation represents this linear relationship?
A. y = 1/2x + 4
B. y = 1/2x — 4
C. y = 4x + 1/2
D. y = –4x + 1/2
B. y = 1/2x - 4
Write an equation in slope-intercept form of
the line that passes through the point
(2, –3) and has a slope of 3.
y = mx + b
–3 = 3(2) + b
–3 = 6 + b
–9 = b
y = 3x — 9
A company charges 100 dollars to inspect your roof plus 50 dollars an hour for work done, how much would it cost if they worked on your roof for 8 hours.
y = 50 x + 100
y = 50(8) + 100
y = 400 + 100 = 500
name a fact you know about your coach.
Answers may vary.
Determine whether the following point will make the equation x — 4y = 8 true. Explain or show your work for each part.
(16, 2)
x - 4y = 8
16 - 4(2) = 8
16-8 = 8
8=8
true
The graph of a linear relationship has a
y-intercept of 8 and a slope of -3. Which
equation represents this linear relationship?
A. y = 3x - 8
B. y = -8x + 3
C. y = 8x - 3
D. -3x + 8
D. -3x + 8
2. What is the equation of the line that goes
through points (1, 1) and (3, 9)?
A. y = 4x
B. y = 4x + 3
C. y = 4x — 3
D. y = –4x — 3
slope = 9 — 1/ 3 — 1 = 8/ 2 = 4
y = mx + b
9 = 4(3) + b
9 = 12 + b
–3 = b
C. y = 4x — 3
Your bank account earns 5 dollars per month in interest and you start at 300 dollars. How much money would you have after 6 months?
y = 5x + 300
y = 5 (6) + 300
y = 30 + 300
330