Exponents & Powers
What is
3^2
equal to?
What is the sum in the expression 5 + 8 ?
13
x + 5
If x represents the number of apples, write an expression for “3 times the number of apples.”
3x
What is a variable in an expression?
A letter or symbol that represents an unknown number
What is a scatter plot?
A graph that shows the relationship between two sets of data using points
When a scatter plot suggests a linear association, what type of model can be used?
A straight-line model or linear equation
What is the equation of a liner function?
y = mx + b
What does the slope of a line represent in a real-world situation?
The rate of change between two variables
A student records the number of hours studied and test scores. What type of graph should they use?
A scatter plot
Evaluate
5^3
No Calculator
125
In
3x + 7
idnetify the coefficent.
3
Write an expression for "double a number, then add 4"
2x + 4
A car rental company charges a $25 base fee plus $0.10 per mile. Write an expression for the cost, c, for m miles.
c = 25 + 0.10m
In the equation
x + 7 = 12
what is x?
x = 5
What type of association is shown when the points in a scatter plot go up and to the right?
Positive Association
True or False: The closer the data points are to the line, the stronger the association.
True.
y = 3x + 5, what is the slope
3
If a car travels 60 miles per hour, what is the slope of the equation representing distance over time?
60, because the car travels 60 miles per hour.
If a linear model has a negative slope, what does that tell us about the relationship?
As one variable increases, the other decreases.
Rewrite 2 x 2 x 2 x 2 using an exponent
2^4
In
4x - 2y + 9
identify the terms.
Write an expression for "the product for a number and 6, decreased by 2.
6x - 2
A teacher has x pencils and buys 12 more. Write an expression.
x + 12
If b stands for the number of basketballs and there are 3 more than b, write an expression.
b + 3
What type of association is shown when the points in a scatter plot go down and to the right?
Negative Association
What is the process of drawing a line through a scatter plot to show the trend?
Fitting a trend line or best-fit line.
In y = 3x + 5, what is the y-intercept?
5
If a bank account starts with $100 and increases by $5 per week, write an equation for the balance.
y = 5x + 100
A business tracks the number of ads they run and their sales. If more ads lead to higher sales, what type of association is this?
Positive association.
Evaluate
(4^2) + (3^3)
25 + 27 = 52
Identify the product in the expression
6 x (x + 2)
6(x + 2)
Write an expressioin for "the sum of three times a numer and 7.
3x + 7
You earn $8 per hour working at a store. Write an expression for your total earnings, e, if you work h hours.
e = 8h
A zoo has x lions and three times as many zebras. Write an expression for the number of zebras.
3x
Describe what a cluster in a scatter plot means.
A group of data points that are close together, suggesting a pattern or trend.
How can you informally judge if a line is a good fit for the data?
By checking how close the points are to the line.
If a line has a positive slope, what type of association does it show?
Positive Association
A worker earns $12 per hour and already has $50. Write an equation for total earnings.
y = 12x + 50
A store's profit is modeled by y = 2x + 1000, where x is the number of products sold. What does the 1000 represent?
The starting profit or initial value
10^3 - 2^4
1000 - 16 = 984
What is the factor in 12a - 3b?
The factors of 12a are 12 and a; the factors of 3b are 3 and b
Write an expression for "a number squared, then divided by 5.
x^2/5
A school’s fundraiser sells x chocolate bars for $2 each and y t-shirts for $10 each. Write an expression for the total earnings.
2x + 10y
A number is tripled, then decreased by 5, and the result is 19. Write an equation and solve for x.
3x - 5 = 19, solving gives x = 8
What is an outlier in a scatter plot?
A point that is far away from the other data points and does not follow the trend
A scatter plot shows an upward trend but has one point far away from the others. What is that point called?
An outlier.
If the slope of a linear function is zero, what does the graph look like?
A horizontal line
You’re given two points from a data set: (2,5) and (6,13). Find the slope.
m = (13 - 5)/(6-2) = 8/4 = 2
The equation of a trend line is y = -4x + 30. What does the -4 mean in context?
For every 1 unit increase in x, y decreases by 4.