Unit 1
Find f(-10)
f(x)=7x - 5
A: -75 B: -65
C: 65 D: 90
A: -75
y>2x-1 2x>5
Which choice consists of the y-coordinates of all the points that satisfy the system of inequalities above?
A: y>6 B: y>4 C: y>5/2 D: y>3/2
B: y>4
If A is a rational number and B is a rational number, then the product AB must be?
A: rational B: imaginary
C: and integer D: irrational
A: rational
A new species of fish is released into a lake, and the fish multiply quickly. The growth of their population is modeled by the exponential function P(t)=7b^t, where t is the time in weeks after the release and B is a positive unknown base. According to the model, how many fish of the new species were released initially?
A: 2 B: 7 C: 12 D: 14
B: 7
Beverly is starting a new diet. Her current weight is 160 pounds. She expects to lose 4 pounds per month. If x represents the number of months Beverly is on the diet, which linear function models the situation?
A: y=4x-160 B: y=-4x+160
C: y=1/4x+160 D: y=-4x
B: y=-4x+160
A store charges their customers based on the number of items that they buy. Jane bought four items and was charged $15 and George bought twelve items and was charges $39. Write a function to model the cost based on the number of items you buy. Then determine how much you bought if you were charged $33.
f(x)=3x+3;f(10)=33
An Uber driver charges $0.50 per mile and an initial fee of $3. A lift driver charges $0.60 per mile and an initial fee of $2. Which inequality represents the situation where the cost of using Lift is greater than taking and Uber, where m is miles?
A: 0.50m+0.60m<3+2 B: 0.50m+0.60m>3+2
C: 0.50m+3<0.60m+2 D: 0.50m+3>0.60m+2
C: 0.50m+3<0.60m+2
If A is a rational number and B is and irrational number, then the sum A+B is?
A: rational B: imaginary
C: irrational D: an integer
C: irrational
Solve for x: 6^-2x=6^(2-3x)
A: x=0 B: x=1
C: x=2 D: x=3
C: x=2
Which correlation coefficient would indicate a strong negative relationship between the number of text messages sent and the age of the sender?
A: -0.95 B: -0.82 C: 0.05
D: 0.28 E: 0.82
A: -0.95
A store charges their customers based on the number of items that they buy. Jane bought four items and was charged $15 and George bought twelve items and was charges $39. Write a function to model the cost based on the number of items you buy. Then determine how much you are charged if you purchase 22 items.
f(x)=3x+3;f(22)=69
Solve the inequality:
x-5>32
Identify the number which is IRRATIONAL.
A: -1.23 B: √8
C: 2/3 D: 0
B: √8
A: x=3 B: x=12/5
C: x=-2 D: x=19/6
D: x=19/6
Is it correlation or causation?
A recent study showed that college students were more likely to vote than their peers who were not in school.
Correlation
Luke is building a storage building and needs to have a slab of concrete poured. He knows the contractor charges and initial cost of $95 plus an additional $3.50 per square foot of concrete. Formulate a function that can be used to determine the cost, in dollars, to pour a concrete slab with an area of X square feet.
f(x)=3.5x+95
Solve the inequality:
5/2r+10<55
r<18
Subtract: 5√27x - √75x
A: 10x B: 10√x
C: 10√3x D: -2√3x
C: 10√3x
3, 9, 27, 81,......
Which exponential function describes the given sequence?
A: y=(-1/3)^x B: y=1/3^x
C: y=(-3)^x D: y=3^x
D:y=3^x
Mr. Thompson notices that there was more trash in the hallways after 2nd period than 1st period.
Correlation
Harris is building a deck around his pool. His contractor charges $525 for labor plus an additional $4.75 per square foot for materials. Formulate a function that can be used to determine the cost, in dollars, for a deck with an area of square feet.
f(x)=4.75x+525
Solve the inequality:
11<-k+19
k<8
Which number can be added to a rational number to explain that the sum of rational number and a irrational number is irrational?
A: -8 B: 2 1/6
C: √5 D: 3√27
C: √5
Your new job guarantees you an eight percent raise for each year with the company. If your initial salary is $42,200, write an equation to model your salary after t years.
S=42,200(1.08)^t
Put the correlation coefficients in order from weakest to strongest:
0.87, -0.81, 0.43, 0.07, -0.98
0.07, 0.43, -0.81, 0.87, & -0.98