Equations
Expressions
Functions
Miscellaneous
Data
100
What is the solution to this system of equations?
x – 3y = 1
x – 2y = 6
A. (−4, −5)
B. (−2, −1)
C. (4, 1)
D. (16, 5)
D. (16, 5)
100
Simplify:
5sqrt8*3sqrt4
60sqrt2
100
The first term in an arithmetic sequence is 5. The fourth term in the sequence is −4. The tenth term is −22. Which function can be used to find the nth term of the arithmetic sequence?
A. f(n) = –n
B. f(n) = n + 4
C. f(n) = –3n + 8
D. f(n) = 1/2(n+5) +2
C. f(n) = –3n + 8
100
What are like/common terms?
100
Which set of data points could be modeled by a decreasing linear function?
A. {(0, 0), (1, 8), (2, 15), (3, 22), (4, 30)}
B. {(0, 5), (1, 6), (2, 10), (3, 16), (4, 28)}
C. {(0, 50), (1, 42), (2, 33), (3, 25), (4, 16)}
D. {(0, 64), (1, 60), (2, 52), (3, 39), (4, 22)}
C. {(0, 50), (1, 42), (2, 33), (3, 25), (4, 16)}
200
C
200
The total daily expenses to operate Sheila’s pie bakery are the cost of salaries and ingredients. Sheila has four employees, and she pays each worker a daily rate. On average, it costs the same amount of money to make each pie. This expression shows the total daily expenses for Sheila’s bakery to make x pies.
4(75) + $0 50x
What does the term 4(75) represent?
A. The amount of money Sheila must pay her employees per day.
B. The number of pies Sheila must sell per day.
C. The total cost of expenses per pie.
D. The amount of money customers pay per pie.
A. The amount of money Sheila must pay her employees per day.
200
D.
200
What operation is described by the phrase "to add the opposite/inverse?"
200
C.
300
Step 4: She did not flip the inequality after dividing by a negative number
300
A quadratic function is shown.
f(x) = x2 + 8x + 15
What is the factored form of f(x) that reveals the zeros of the function?
A. f(x) = (x + 4)(x + 2)
B. f(x) = (x + 3)(x + 5)
C. f(x) = (x + 2)(x + 6)
D. f(x) = (x + 1)(x + 15)
B. f(x) = (x + 3)(x + 5)
300
The set of ordered pairs shown represents a function f.
{(–5, 3), (4, 9), (3, –2), (0, 6)}
Select THREE ordered pairs that could be added to the set so that f remains a function.
A. (−3, −2)
B. (4, 0)
C. (0, −1)
D. (1, 6)
E. (2, 3)
F. (−5, 9)
A, D, E
300
Which parent function(s) have a domain of all real numbers?
A. Linear
B. Quadratic
C. Exponential
D. All of the above
D. All of the above
300
B
400
x > -8/7
400
A quadratic function is shown.
f(x) = x2 + 8x + 15
What is the equivalent form of f(x) that reveals the minimum value of the function?
A. f(x) = (x + 4)2 – 1
B. f(x) = (x + 3)2
C. f(x) = (x + 2)2 + 3
D. f(x) = (x + 1)2 + 8
A. f(x) = (x + 4)2 – 1
Vertex is (-4, -1)
400
D
400
Which parent function(s) have a range of all real numbers?
A. Linear
B. Quadratic
C. Exponential
D. All of the above
A. Linear
500
Jose wants to spend no more than $30 on apples and grapes for the month. Apples cost $1.50 per pound, and grapes cost $2 per pound. Jose also wants his monthly caloric intake from apples and grapes to be greater than 2000 calories. He determines that 1 pound of apples has 200 calories and 1 pound of grapes has 300 calories.
Let a represent the number of pounds of apples, and g represent the number of pounds of grapes.
Which system of inequalities can be used to determine the number of pounds of apples and grapes that Jose can buy for a month?
A. {(1.5a,+,2g,>=,30),(200a,+,300g,>,2000):}
B. {(1.5a,+,2g,<=,30),(200a,+,300g,>,2000):}
C. {(2a,+,1.5g,<=,30),(300a,+,200g,>,2000):}
D. {(2a,+,1.5g,>=,30),(200a,+,300g,<,2000):}
B. {(1.5a,+,2g,<=,30),(200a,+,300g,>,2000):}