Number System
Expressions and Equations
Functions
Geometry
Statistics
100
Write the decimal equivalent of ?
100
What is the solution to the equation shown below?
2.5(x + 5) = 7.5x − 0.5
x=2.6
100
What ordered pair needs to be removed from the set to make it a function?
{(-40,0), (20,-30), (60,-50), (20,40), (-30,-30), (50,60)}
(20,-30) or (20,40)
100
Triangle P undergoes a sequence of transformations resulting in triangle Q. Which transformation could be used to show that triangle Q is similar but not congruent to triangle P ?
Dilation
100
A scatter plot is shown below.
Which statement best explains why these data can or cannot be modeled using a line of best fit?
- (A) A line would not be appropriate because there is a negative association.
- (B) A line would not be appropriate because the points follow a nonlinear pattern.
- (C) A line would be appropriate because there is a positive association.
- (D) A line would be appropriate because the points follow a nonlinear pattern.
(B) A line would not be appropriate because the points follow a nonlinear pattern.
200
Which statement best describes the value of?
(A)The value of is between 2 and 2.5.
(B)The value of is between 2.5 and 3.
(C)The value of is between 3 and 3.5.
(D)The value of is between 3.5 and 4.
(B) The value of is between 2.5 and 3.
200
What equation represents the line shown on the coordinate plane below?
y= 5/2 x+4
200
The graph of a function is shown on the coordinate plane below.
Between which two values of x is the function nonlinear and increasing?
4 and 6
200
The dimensions of a cone are shown in the figure below.
What is the approximate volume, in cubic centimeters, of the cone? Round to the nearest whole number.
415
200
What association best describes the data in a scatter plot where the y-values are increasing as the x-values are increasing?
The data can best be modeled by a line with a positive slope.
300
A set of numbers is shown below.
What number would need to be removed from the set so that the set contains only
rational numbers?
Square root of 5
300
What is the solution, if any, to the equation 3(x − 2) + 4 = 3x + 6?
No solutions
300
Three equations are listed below.
• y = x(3x + 2)
• y = + 2
• y = 2 − 3x
Identify one linear equation and one nonlinear equation from the list.
Linear Equation:
• y = + 2
• y = 2 − 3x
Non-Linear Equation:
• y = x(3x + 2)
300
Lines l and m are parallel and intersect transversal p, as shown in the diagram below.
What is the value of n ?
n=6
300
The scatter plot below can be used to find the approximate rate at which water flows through a garden hose. The line of best fit for the scatter plot can be described by the equation .
If the rate, in gallons per minute, continues, approximately how many gallons of water will flow from the hose in 45 minutes?
36 gallons
400
Is the value of irrational or rational? Why?
It is irrational because the decimal equivalent is non-repeating and does not terminate.
400
Simplify
1/4
400
Which graph represents a linear function of x?
- (A)
- (B)
- (C)
- (D)
- (B)
400
Trapezoid RSTU and trapezoid NMLK shown on the coordinate plane are congruent.
Which sequence of transformations will map trapezoid RSTU onto trapezoid NMLK ?
A reflection over the x-axis, then a translation 1 unit to the left
400
In city W, the average cost for a gym membership is given by the equation y = 34.99x + 49, where y is the total cost, in dollars, for x months of membership. What is the meaning of the y-value when x = 1?
The total cost for the first month of a gym membership
500
Draw a number line -1 to 8. Label point P to represent the value of the expression ?
500
A dog owner collected data to see which of his two dogs runs at the greater speed. The graph and the table below show the relationship between the time, in seconds, and the distance, in feet, each dog ran.
DOG A: y=28x
DOG B
What is the difference, in feet per second, between the speeds of the two dogs?
A difference of 3 feet per second between the speeds of the two dogs.
500
Linear function K passes through points (-3,7) and (3,3). What is the rate of change of function K ?
-2/3
500
The measures of the angles in triangle UVW are shown in the diagram below.
What is the value of x?
X=45
500
The scatter plot below shows the average points scored per game by players of different ages in an adult basketball league.
Describe the association between a player's age, in years, and the average points scored per game?
There is a positive linear association and one outlier.