Simplifying & Solving
Graphing
Geometry
Modeling & Applications
Statistics
100
What value of x satisfies the equation:
51=7+2x
x=22
100
In the xy - plane, line L contains the point (1,3) and has a slope of 2. Which of the following is an equation of line L?
A. y = 3x + 2
B. y = 2x + 3
C. y = 2x + 1
D. y = x + 2
C. y = 2x +1
100
What is the perimeter of the rectangle:
Perimeter = 30
100
In the equation above, F represents the total amount of money, in dollars, a food truck charges for x drinks and y salads. The price, in dollars, of each drink is the same, and the price, in dollars, of each salad in the same. What is the best interpretation for the number 7.00 in this context?
A. The price, in dollars, of one drink
B. The price, in dollars, of one salad
C. The number of drinks bought during the day
D. The number of salads bought during the day
B. The price, in dollars, of one salad
100
The average (arithmetic mean) of m, n and p is 8.
If m + n = 15 then p equals:
p = 9
200
Simplify the expression:
3x^2+4x-2-(x^2+2x-1)
2x^2+2x-1
200
What is an equation of the graph:
A. y = 2x + 4
B. y = 2x - 4
C. y = 2x - 5
D. y = 2x + 5
B. y = 2x - 4
200
A right circular cylinder has a volume of
45pi
If the height of the cylinder is 5, what is the radius of the cylinder.
V=pir^2h
r = 3
200
3a+4b=25
A shipping company charged a customer $25 to ship some small boxes and some larger boxes. The equation above represents the relationship between a, the number of small boxes, and b, the number of large boxes, the customer had shipped. If the customer had 3 small boxes shipped, how many large boxes were shipped?
4 large boxes
200
The table above shows the frequencies for the 9 different values that occur in the 31-item data set. What is the median value of the data set?
median = 35
300
Multiply and simplify the expression:
(y-4)(y+5)
y^2+y-20
300
Which of the following systems of equations has the same solution as the system of equations graphed below?
A. y = 0 and x = 3/2
B. y = 3/2 and x = 0
C. y = 0 and x = 1
D. y = 1 and x = 0
A. y = 0 and x = 3/2
300
The length of the line segment AB is 380. The length of the line segment CD is 95% of the length of line segment AB. What is the length of line segment CD?
CD = 361
300
A group of monarch butterflies migrated from Chicago, Illinois to Michoacán, Mexico, flying a total of 2,100 miles. It took a single butterfly in the group 120 days to travel this route one way. On average, how many miles did the butterfly travel per day?
Include your units.
17.5 miles per day
300
9,9,10.5,11,11.5,12,12
The given data shows the age in years, of 7 domesticated sheep. Based on these data, which of the following statements about these sheep is true?
A. The median age is equal to the mean age.
B. The median age is greater than the mean age.
C. The range of ages is equal to the mean age.
D. The range of ages is greater than the mean age.
B. The median age is greater than the mean age.
400
If
(3x+3x)/6=24
, what is the value of 6x?
6x=144
400
In the xy - plane, two lines intersect at the origin. Which of the following pairs of equations could represent these lines, where a and b are positive constants?
A. y = ax and y = bx
B. y = ax and y = -bx
C. y = -ax and y = -bx
D. y = ax and y = ax+b
A. y = ax and y = bx
400
Triangle RST is congruent to triangle XYZ, where ∠R corresponds to ∠X and ∠S corresponds to ∠Y. If the measure of ∠R is 28° and the measure of ∠S is 54°, what is the measure of ∠Z?
∠Z = 98
400
On January 1, 2015, a city's minimum hourly wage was $9.25. It will increase by $0.50 on the first day of the year for the next 5 years. Write an equation to model the minimum hourly wage, in dollars, x years after January 1, 2015, where x = 1, 2, 3, 4, 5?
f(x) = 9.25 + 0.50x
400
A line of best fit will be drawn for the data in the scatterplot shown. Which of the following is true about the slope m of the line?
A. -1 < m < 0
B. 0 < m < 1
C. 1 < m < 2
D. 2 < m < 3
B. 0 < m < 1
500
3/4x+ax=10
In the equation above, a is a constant. If x = 24 is the solution to the equation, what is the value of a?
a=-1/3
500
In the xy - plane, the graph of the linear inequality contains the points (0,2), (1,1), and (4,0). Which of the following could be the inequality?
A.
y ≤ -1/2x+2
B.
y ≥ -1/2x+2
C.
y≤-2x+4
D.
y≥-2x+4
A.
y ≤ -1/2x+2
500
In the xy - plane shown, square ABCD has its diagonals on the x and y axis. What is the area, in square units, of the square?
Area = 50
500
According to a model, the head width, in millimeters, of a worker bumblebee can be estimated by adding 0.6 to 4 times the body weight of the bee, in grams. According to the model, what would be the head width, in millimeters, of a worker bumblebee that has a body weight of 0.5 grams?
2.6 millimeters
500
Data Set X: 2, 3, 5, 5, 8
Data Set Y: 4, 5, 5, 7, 8
Two data sets are shown. If a number is selected at random from the data set X, what is the probability that the selected number is also a number is data set Y?
Write as a fraction.
3/5