Unit 1
Unit 2
Unit 3
Unit 4a
Unit 4b
Unit 5
Unit 6
Unit 7
100
A school purchases boxes of candy bars. How much does the school have to charge for each candy bar to make a profit of $10 per box?
Each box contains 50 candy bars.
Each box costs $30.
0.80
100
Suppose that the function f(x) = 2x + 12 represents the cost to rent x movies a month from an internet movie club. Makayla now has $10. How many more dollars does Makayla need to rent 7 movies next month?
$16.00.
100
Which expression is equivalent to (x3)-2?
A. 1 / x
B. x
C. x6
D. 1 / x6
D.
100
Two sides of a triangle are 3x2 +4x and 5x - 1. If the perimeter of the triangle can be represented by the expression 7x2 - 4x + 5, what is an expression for the third side of the triangle?
4x2 - 13x + 6
100
Which expression is equivalent to x2y2 - 9? (Difference of Perfect Squares)
A. (xy+9)(xy-9)
B. (xy+3)(xy-3)
C. (xy-3)(xy-3)
D. (x2y2+3)(x2y2-3)
What is B?
100
What is the vertex of f(x)=1/3x2 - 4x + 5?
(6, -7)
100
The following represents what type of function?
x | -2 -1 0 1 2
y | 5 3 3 5 9
quadratic
100
The number of points scored by a basketball player in the first eight games of a season are shown below.
15,35,18,30,25,21,32,16
What would happen to the data distribution if she scored 24, 22, 27, and 28 points in her next 4 games?
The data distribution would become less peaked and more widely spread.
The data distribution would become less peaked and less widely spread.
The data distribution would become more peaked and less widely spread.
The data distribution would become more peaked and more widely spread.
3.
200
Energy and mass are related by the formula
E = mc2. Variable m is the mass of the object, c is the speed of light. Which equation finds m, given E and c?
A. m = E – c2 B. m = Ec2
C. m = c2 / E D. m = E / c2
D
200
The table below shows the average weight of a type of plankton after several weeks. What is the average rate of change in weight of the plankton from week 8 to week 10?
Time (weeks) | Weight (ounces) |
8 | 0.04 |
9 | 0.07 |
10 | 0.14 |
11 | 0.25 |
12 | 0.49 |
0.05 or 1/2 ounce per week?
200
The volume of a sphere is 2,400 cubic centimeters. What is the approximate diameter of this sphere? (Volume of a sphere = 4/3πr3)
16.6 or 16.62
200
If f(x)=3x-7 and g(x)=x+5, what is the value of f(x)* g(x)?
3x2 + 8x - 35
200
Which expression is equivalent to t2 - 36?
What is (t - 6)(t + 6)
200
Find the smallest positive zero of the following
f(x) = x2 - 16.
4.
200
What is the solution to the following system of equations? Leave your answer as (x, y).
2x - 3y = 4 4x - y = -2
(-1, -2)
200
A line segment has endpoints J(2,4) and L(6,8). The point K is the midpoint of JL. What is an equation of a line perpendicular to JL and passing through K?
y = -x + 10
y = -x – 10
y = x + 2
y = x – 2
1
300
James is at a gift sale where everything costs $4 (tax included). James has $50. James must have at least $28 remaining when he is finished buying gifts. What is the greatest number of gifts he can buy?
5.5 or 6?
300
Cell phone Company Y charges a $10 start-up fee plus $0.10 per minute, x. Cell phone Company Z charges $0.20 per minute, x, with no start-up fee. Which function represents the difference in cost between Company Y and Company Z?
F(x) = -0.10x + 10.
300
Rewrite the following with positive exponents.
(3m^2p^-2q)^3/(9m^-3q^3)
(3m^9)/p^6
300
The area of a trapezoid is found using the formula
A = 1/2h(b1+b2), where A is the area, h is the height, and b1 and b2 are the lengths of the bases. What is the area of the trapezoid below?
A. A = 4x + 2 C. A = 2x2 + 4x -21
B. A = 4x + 8 D. A = 2x2 + 8x – 42
D.
300
The area of a window is x2 + 4x - 12. Which of the following could represent the width of the window?
A. x - 3 B. x + 4 C. x - 8 D. x + 6
What is A.
300
Suppose that the equation V = 20.8x2- 458.3x+3500 represents the value of a car from 1964 to 2002. What year did the car have the least value? ( x = 0 in 1964)
A. 1965 B. 1970 C. 1975 D. 1980
C.
300
Given f(x)=25x + 7 and g(x)=3(2)x, what is the smallest integer for which g(x) exceeds f(x)?
6
300
The table below shows the area of several states. Delaware has an area of 2,000 square miles. Which is true if Delaware is included in the data set?
State | Area (thousands of square miles) |
Connecticut | 6 |
Georgia | 59 |
Maryland | 12 |
Massachusetts | 11 |
New Hampshire | 9 |
New York | 54 |
North Carolina | 54 |
Pennsylvania | 46 |
The mean increases
The range decreases
The interquartile range decreases
The standard deviation increases
4
400
Re-write the equation 3x - 2y = 6 to solve for y.
y = 3/2x-3
400
The boiling point of water, T (measured in degrees), at altitude a (measured in feet) is modeled by the function T(a) = -0.0018a + 212. In terms of altitude and temperature, which statement describes the meaning of the slope?
A. The boiling point increases by 18 degrees as the altitude increases by 1,000 feet.
B. The boiling point increases by 1.8 degrees as the altitude increases by 1,000 feet.
C. The boiling point decreases by 18 degrees as the altitude increases by 1,000 feet.
D. The boiling point decreases by 1.8 degrees as the altitude increases by 1,000 feet.
D. The boiling point decreases by 1.8 degrees as the altitude increases by 1,000 feet
400
If f(x)=520(1.03)^x represents the population of a town since 1980, what is the population difference between 2010 and 2015?
201 people
400
Farmer Joe wants to increase the size of his rectangular garden. His garden had a length that was four more than twice the width. If he increases both the length and the width by 6 feet, what will the increase in the area be?
18x + 60 or 18w + 60?
400
Which of the following is a factor of 6x2 + 7x - 3?
A. x - 2 B.2x - 3 C. 6x + 1 D. 3x - 1
What is D.
400
The larger leg of a right triangle is 3 cm longer than its smaller leg. The hypotenuse is 6 cm longer than the smaller leg. How many centimeters long is the smaller leg?
9
400
Lucy and Barbara began saving money the same week. The table below shows the models for the amount of money Lucy and Barbara had saved after x weeks. After how many weeks will Lucy and Barbara have the same amount of money saved?
Lucy’s Savings | F(x) = 10x + 5 |
Barbara’s Savings | F(x) = 7.5x + 25 |
8 weeks.
400
An elevator can hold a maximum of 1500 pounds. Eight people need to use the elevator. Bill had some measures from the data set of how much each person weighed. Which measure would be most useful to determine if the people can safely use the elevator?
Mean
Median
Mode
Interquartile range
1
500
Three times the largest of three consecutive positive integers is 31 less than four times the smallest integer. What is the value of the middle integer?
38
500
Dennis compared the y-intercept of the graph of the function f(x) = 3x + 5 to the y-intercept of the graph of the linear function that includes the points in the table below. What is the difference when the y-intercept of f(x) is subtracted from the y-intercept of g(x)?
x | -7 -5 -3 -1
g(x) | 2 3 4 5
0.5
500
The population of Zoolu City is 25,000 in 2015. Since then population has increased exponentially at an average rate of 3.2% each year. Find the population of Zoolu City in 2020. Round to whole number
29,264
500
One rectangle has a length of 3x - 4 and a width of
x - 2. Another rectangle has an area of x2 + 7x - 2. What is the total area of both rectangles together?
4x2 - 3x + 6
500
A rectangle has an area of 2x2 -11x + 15 units. What is the length and width of the rectangle?
2x - 5 and x - 3
500
What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer?
5
500
Josie went to the store on different days and bought candy bars and sodas. Each candy bar cost $0.75 and each soda cost $1.50. Josie spent a total of $17.25. She bought a total of 14 items. How many more sodas did she buy than candy bars?
4.
500
John mixed cashews and almonds.
John bought 4 pounds of almonds for a total of $22.
The cost per pound of cashews is 60% more than the cost per pound for almonds.
John bought enough cashews that, when he mixed them with the almonds, the mixture had a value of $6.50 per pound.
Approximately what percent of the mixture, by weight, was cashews?
A. 20% B. 25% C. 30% D. 35%
C