Linear Functions
Linear Inequalities
Rational and Irrational Numbers
Quadratic Functions
Exponential Expressions & Equations
100
Which function can be used to model the data in this table?
a) f(x)=3x
b) f(x)=x/2-1
c) f(x)=x-1
d) f(x)=2x-1
b)
f(x)=x/2-1
100
Vicky is studying French. She spends 1 hour reviewing each old chapter. She also spends 1.5 hours learning each new chapter. She spends at least 10 hours per week studying French.
Which graph could represent the possible number of old chapters Vicky reviews, x, and new chapters Vicky learns, y, each week?
a) 
b) 
c)
d) 
b) 
100
Which value if an irrational number?
a) 4+sqrt7
b) sqrt2sqrt8
c) (sqrt3sqrt12)/5
d) sqrt3-sqrt3
a)
4+sqrt7
100
The total area of two rectangles can be represented by the expression (x)(3x+1)+(2x)(x+3) .
Which expression represents the total area of the two rectangles?
a) 7x^2
b) 6x^2+6x
c) 6x^2+7x
d) 5x^2+7x
d)
5x^2+7x
100
Consider the function for cell duplication. The cells duplicate every minute.
f(x)=75(2)^x
What do the values 75 and 2 represent in relation to the duplication of these cells?
a) The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute.
b) The 75 is the initial number of cells, and the 2 indicates that the number of cells increases by 2 every minute.
c) The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells doubles every minute.
d) The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells increases by 2 every minute.
a) The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute.
200
An arithmetic sequence is shown.
7, 11, 15, 19, ...
What is the recursive formula that was used to create this sequence?
a) a_n=a_(n-1)+7; a_1=4
b) a_n=a_(n+1)+7; a_1=4
c) a_n=a_(n-1)+4; a_1=7
d) a_n=a_(n+1)+4; a_1=7
c)
a_n=a_(n-1)+4; a_1=7
200
A computer store is placing an order for computers and tablets. Each computer costs $875, and each tablet costs $235. The store con spend at most $10,000 for these computers and tablets. The computer store has a limited amount of space for displaying the new computers and tablets. Each computer takes up 4 square feet of space, and each tablet takes up 3 square feet of space. The store has only 45 square feet of display space available for the new computers and tablets. The system of inequalities shown can be used to determine possible combinations of computers, x, and tablets, y, the store can order.
875x+235y<=10,000
4x+3y<=45
Which combination of computers, x, and tablets, y, can the computer store order?
a) (8,4)
b) (10,2)
c) (7,9)
d) (5,9)
a) (8,4)
200
Which expression is equivalent to 10sqrt5 ?
a) 2sqrt250
b) 5sqrt2*sqrt5
c) 5sqrt5+5sqrt5
d) sqrt50*sqrt5
c)
5sqrt5+5sqrt5
200
Which expression is equivalent to x^2-16x+49 ?
a) (x-7)^2
b) (x-8)^2
c) (x-8)^2-15
d) (x-8)^2+41
c)
(x-8)^2-15
200
Candice has a savings account. The total amount of money, in dollars, in the account in relation to the time, in years, since Candice made her first deposit can be described by the equation A=3000(1+0.04)^t .
Which of the following correctly matches each part of the equation to the term that best describes what it represents.
a) 0.04 is the initial deposit, (1+0.04) is the growth factor, A is the time, and 3000 is the interest rate.
b) (1+0.04) is the initial deposit, t is the growth factor, 0.04 is the time, and 3000 is the interest rate.
c) t is the initial deposit, 0.04 is the growth factor, 3000 is the time, and A is the interest rate
d) 3000 is the initial deposit, (1+0.04) is the growth factor, t is the time, and 0.04 is the interest rate
d) 3000 is the initial deposit, (1+0.04) is the growth factor, t is the time, and 0.04 is the interest rate
300
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
300
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 2,000 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 the number of pounds of 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):}
300
Which expression is equivalent to 5sqrt10 ?
a) sqrt5*sqrt10*sqrt10
b) 2sqrt250
c) 5sqrt2*sqrt5
d) 5sqrt5+5sqrt5
c)
5sqrt2*sqrt5
300
The table defines a quadratic function.
What is the average rate of change between x=-1 and x=1?
a) undefined
b) -1/3
c) -3
d) -4
c)
-3
300
The table shows an exponential relationship between the number of employees working for a business based on the time, in years, since the founding of the business.
Which of the following expressions can be used to determine the number of employees working for the business x years since the founding of the business?
a) 512(0.25)^x
b) 512(x)^1.25
c) 512(1.25)^x
d) 512(1.025)^x
c)
512(1.25)^x
400
Which situation could be modeled by a function with a domain of all positive integers?
a) the distance a runner has moved during a race as a function of time since the race started
b) the amount of fish food required in a fish tank as a function of the number of fish in the tank
c) the amount of power required to operate a computer as a function of the length of time the computer is on
d) the amount of water required by an animal as a function of the mass of the animal
b) the amount of fish food required in a fish tank as a function of the number of fish in the tank
400
Information about the costs of three catering companies is shown in this table.
Gavin can spend no more than $300 on the catering for an event.
What is the greatest number of people that Gavin can have at his event without spending more than $300 on catering?
a) 30
b) 32
c) 33
d) 37
c) 33
400
Which expression is equivalent to 10sqrt10 ?
a) sqrt50*sqrt5
b) sqrt5*sqrt10*sqrt10
c) 2sqrt250
d) 5sqrt2*sqrt5
c)
2sqrt250
400
What is the factored form of f(x)=x^2+8x+15 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)
400
A function is given in the table shown.
Which equation represents the function in the table?
a) y=24(1.5)^x
b) y=16(1.5)^x
c) y=12x+24
d) y=24x+12
a)
y=24(1.5)^x
500
Which situation could be modeled by a function with a domain that includes positive and negative real numbers?
a) the height of a plant as a function of time since the seed was planted
b) the elevation of a hiker as a function of the number of steps taken
c) the amount of time required to read a book as a function of the number of words in the book
d) the amount of precipitation as a function of the outdoor temperature
d) the amount of precipitation as a function of the outdoor temperature
500
A restaurant makes two kinds of bread: plain bread and cheesy bread. An order of plain bread requires 2 pounds of dough. An order of cheesy bread requires 3 pounds of dough and 1 pound of cheese. The restaurant has 80 pounds of dough and 20 pounds of cheese available each day.
Which system of inequalities represents the number of orders of plain bread, x, and cheesy bread, y, that can be made each day?
a) {(2x,+,3y,<=,80),(x,,,<=,20):}
b) {(2x,+,3y,<=,80),(,,y,<=,20):}
c) {(3x,+,2y,<=,80),(x,,,<=,20):}
d) {(3x,+,2y,<=,80),(,,y,<=,20):}
b)
{(2x,+,3y,<=,80),(,,y,<=,20):}
500
Which number is equivalent to 5sqrt8*3sqrt4 ?
a) 15sqrt2
b) 60sqrt2
c) 30sqrt3
d) 60sqrt3
b)
60sqrt2
500
What is the equivalent form of f(x)=x^2+8x+15 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
500
The graph of the exponential function shown passes through (-1,-1.5) and (1,6).
Which function represents the graph?
a) y=5(2)^x-4
b) y=5(1/2)^x-4
c) y=5(2)^x+1
d) y=5(1/2)^x+1
a)
y=5(2)^x-4