14b = -56
b = -4
5x + 3 = 8
x = 1
Solve for d.
c = Οd
d = c/Ο
What is the form of this linear equation called?
(y-y1)=m(x-x1)
Point-Slope Form
Given π(π) = 2π2 β 4, find g(β5).
k = 46
What is the relationship of the data in this scatter plot? (Linear or nonlinear; positive, negative, or neither; and strong or weak)
Linear, negative, and strong
m + 4 = -12
m = -16
35 + 0.5t = 52
t = 34
Solve for v.
F = BQv
v = F/(BQ)
A line passes through the points (0, 6) and (β8, 0).
What is the slope of this line?
m = -3/4
Patty uses reclaimed rainwater in her garden. At 3 p.m., the water level in her rain barrel was 1.8 inches. During a rain shower, from 3 p.m. to 8 p.m., the rain fell at a steady rate.
What are the ordered pairs that represent this scenario?
(0, 1.8) & (5, 9)
What is the relationship of the data in this scatter plot? (Linear or nonlinear; positive, negative, or neither; and strong or weak)
Nonlinear, neither, and weak
-6 = b/18
b = -108
8.95 + 1.5r = 26.95
r = 12
Solve for x.
y = mx + b
x = (y - b)/m
A line passes through the points (β5, β11) and (3, β11). Write the equation of the line using point-slope form.
y = -11
What is the slope of the following line?
x = 6
The slope is undefined.
Describe the pattern of association for the scatter plot.
Strong, negative and linear
Juan sells raffle tickets at a charity event for $6 each. How many tickets does he have to sell to make $114?
19 tickets
Jasmineβs cell phone company charges her $35 a month for phone service plus $0.50 for each text message. How many text messages does Jasmine send in a month if her bill was $52?
34 Text Messages
Solve for m.
y - y1 = m(x - x1)
m = (y - y1)/(x - x1)
Alice has $50 and decides to save $5 each week. Bob has no savings initially but saves $8 each week. After how many weeks will Alice and Bob have the same amount of money saved?
16.67 Weeks
For groups of 80 or more people, a charter bus company determines the rate per person according to the formula π (π) = 8 β 0.05(π β 80), where π represents the number of people and π represents the rate, in dollars, charged to each customer. a. Find each value and interpret it in context.
π (75) = _________
π (85) = _________
8.25 & 7.75
Kenneth created a scatter plot comparing the number of calories he consumed each week with his body weight. Which of the three scatter plots below most likely represents the data?
III
Mr. Newton wears science-themed ties to school. In all, he has 34 ties with scientific designs. Of all the ties in his collection, b are bow ties and 21 are straight ties.
Which equation models the story?
21 + b = 34
The Cooking Club made some pies to sell during lunch to raise money for an end-of-year banquet. The cafeteria contributed three pies to the club. Each pie was then cut into six pieces and sold. There were a total of 72 pieces to sell. What is the linear equation? How many pies did the club make?
6p + 18 = 72
p = 9
Solve for x.
y = x2 - 4
x = sqrt(y + 4)
Scott was going to sell all of his stamp collection to buy a video game. After selling half of them he changed his mind. He then bought fifteen more. Write the equation that represents this scenario in slope-intercept form. How many did he start with if he now has 40?
s/(2) + 15 = 40
s = 50
What is the domain and range of the following graph, written as an inequality?
Domain: {0 < x < 4}
Range: {0 < y < 8}
The scatter graph below shows the average daily temperatures (in Β° C) and the number of ice creams sold by an ice cream van over 20 days in June.
Describe the relationship between the average daily temperature and the number of ice creams sold.
There is a strong positive relationship between the temperature and ice-creams sold. The hotter the temperature is, the more ice-cream is sold.