Module 1 & 2
Simplify the expression:
(13)-4+(−8)1/3
-1.99
What is the slope of the line that passes through the points (4, 5) and (10, -1)?
–1
What transformations occurred in the equation y=−2(x−3)+5 compared to the parent function y=x?
3 units to the right
Reflection over the x-axis
Vertical stretch by a factor of 2
5 units up
What are the methods to solving systems of equations?
Graphing
Substitution
Elimination
Multiplication-Elimination
A dot plot shows the number of books read by students in a class. The dots are evenly balanced on both sides of the center value. What statement best describes the distribution?
The distribution is approximately symmetric.
Simplify the expression:
5-2 + −271/3
−74/25
What is the difference between a linear equation and a nonlinear equation?
A linear equation graphs as a straight line and has a constant rate of change (slope), with variables raised only to the first power. A nonlinear equation does not graph as a straight line—it may be curved, have exponents other than 1, or include variables multiplied together.
What transformations occurred in the equation y=1/3(x+4)−2 compared to the parent function y=x?
4 units to the left
vertical shrink by a factor of 1/3
2 units down
What is the solution to the system of equations?
−3x+2y=1
x+2y=9
(2,7/2)
The scores on a math quiz are: 4, 5, 6, 6, 7, 8, 9. The dot plot of these scores looks the same on the left and right of the middle score. How would you describe the distribution?
The distribution is symmetric.
Model the statement with an expression:
“x is at least 12.”
x≥12
If f(x)=2x2−5, what is f(4)?
27
What are the steps to finding the line of best fit in the calculator?
reset
stat
edit
enter data
stat
calc
ling-reg
What is the solution to the system of equations?
x+y=72
x−y=5
(38.5,33.5)
In a class of 20 students, 8 students have a pet dog. What is the relative frequency of students who have a dog?
0.4 (or 40%)
Solve the equation: 5(3y−4)+12=33
y=5/3
What statements are true about the graph of the line y=−3 ?
Horizontal line
y-intercept at -3 (it crosses the y-axis at -3)
Slope: 0
Given the data points (1,3),(2,5),(3,7),(4,9), use a graphing calculator to find the line of best fit.
y=2x+1
What is the solution to the system of equations?
3x+y=11
x−y=1
(3,2)
A bag contains 10 red marbles, 5 blue marbles, and 5 green marbles. What is the relative frequency of picking a blue marble?
0.25 (or 25%)
Graph this compound inequality on a number line
x ≤−3 or x ≥2
When Liam started his comic book collection, he had 10 comics. Each month, he buys 3 more comics. What function, f(x), models the total number of comics in his collection after x months?
f(x)=3x+10
Given the data points (2,5),(4,6),(6,8),(8,9),(10,11) use a graphing calculator to find the line of best fit.
y=0.75x+3.3
What is the solution to the system of equations?
2x+3y=13
2x−y=5
(7/2,2)
A school cafeteria tracked the number of students choosing each type of lunch over a week:
Lunch Type # of Students
Pizza 40
Salad 25
Sandwich 35
Question:
What is the relative frequency of students choosing Pizza or Sandwich for lunch?
0.75 (or 75%)