The expression $$100\left(2\right)^x$$ represents the growth of bacteria population after x days. What does the 2 represent in the expression?

the initial size of the population when $$x=0$$

A delivery driver is traveling a total of 250 miles from a warehouse to a store at an average speed of 45 miles per hour. The function $$f\left(x\right)=250-45x$$ represents the distance remaining, in miles, after traveling for x hours. Which statement about the value $$f\left(2\right)$$ is true?

The value $$f\left(2\right)=160$$ and it represents a remaining distance of 160 miles after 2 hours of traveling.

The value $$f\left(2\right)=90$$ and it represents a remaining distance of 90 miles after 2 hours of traveling.

The value $$f\left(2\right)=90$$ and it represents the delivery driver having traveled 90 miles after 2 hours.

The value $$f\left(2\right)=160$$ and it represents the delivery driver having traveled 160 miles after 2 hours.

Which set of ordered pairs satisfies the equation $$f\left(x\right)=7x+20$$ ?

(-4,-8) (-2,6) (0,20) (2,34) (4,48)

(-4,8) (-2,-6) (0,20) (2,34) (4,48)

(-4,8) (-2,6) (0,-20) (2,-34) (4,-48)

(-4,-8) (-2,-6) (0,-20) (2,-34) (4,-48)

Consider the graph shown. Which statement best describes the vertex of the function?

The vertex is a maximum located at (-5,4)

The vertex is a maximum located at (4,-5).

The vertex is a minimum located at (-5,4).

The vertex is a minimum located at (4,-5).

Study the linear function. What are the x-intercept and y-intercept for this function?

x-intercept: (3,0) y-intercept: ((0,5)

x-intercept: (0,3) y-intercept: (5,0)

x-intercept: (0,5) y-intercept: (3,0)

x-intercept: (5,0) y-intercept: (0,3)

Which is a true statement about a graph with a slope of $$-\frac{1}{2}$$ and a y-intercept of 4?

The line decreases vertically 1 unit for each 2 units it increases horizontally.

The line increases vertically 1 unit for each 2 units it increases horizontally.

The line increases vertically 2 units for each 1 unit it increases horizontally.

The line decreases vertically 4 units for each $$\frac{1}{2}$$ unit it increases horizontally.

The table shows the distances, y , from a boat to a scuba diver beneath the surface of the ocean x minutes into a dive. If the table represents a linear function, and the trend continues, which statement is true?

The estimated distance at 6 minutes is 120 feet.

The distance decreases at a rate of 20 feet per minute.

The distance increases at a rate of 40 feet per minute.

The y-intercept of the linear function is 20 feet.

A plumber opens a tap to drain water from a tank. The graph shows the amount of water, in gallons, left in the tank t minutes after opening the tap. Which statement is true?

The tap drains out approximately half the water from the tank in 15 minutes.

The tap drains exactly one gallon from the tank every minute.

The tank initially has 30 gallons of water.

The tank takes 50 minutes to drain completely.

A wrestler wants to gain weight to participate in a tournament within a specific weight class. The wrestler starts a nutrition plan and weighs in at the end of every week. The wrestler's weight, w , in pounds, can be modeled by the equation $$w=0.88n+92$$ , where n is the number of weeks after starting the nutrition plan. Which statement is true?

The slope of the equation represents the 0.88 lb that the wrestler gains each week of the nutrition plan.

The slope of the equation represents the 92.88 lb that the wrestler gains each week of the nutrition plan.

The y-intercept of the equation represents the wrester's weight of 0.88 lb at the start of the nutrition plan.

The y-intercept of the equation represents the wrestler's weight of 92.88 lb at the start of the nutrition plan.

Which statement describes how to simplify the expression $$\frac{a^m}{a^n}$$ ?

Keep the common base ( a ), and subtract n from m to find the new exponent.

Keep the common base ( a ), and add n to m to find the new exponent.

Keep the common base ( m ), and add n to a to find the new exponent.

Keep the common base ( a ), and subtract a from m to find the new exponent.

Paula throws a ball straight up. The equation that models the height of the ball as a function of time is given, where h is in meters, and t is in seconds. $$h=2-10t^2+22t$$ What is the meaning of the 2 in this function?

It is the initial height of the ball.

It is the distance the ball travels in 22 seconds.

It is the initial speed of the ball.

It is the time for the ball to reach its maximum height.

The expression $$15,000\left(0.91\right)^x$$ represents the value of a new car x years after it was purchased. What does 15,000 represent in the equation?

the cost of the car when it is new

the rate at which the car is depreciating each year

the value of the car after a decrease of 9% in total value

the value of the car after x years

Mr. Chen hires an electrician to install the light fixtures for an addition to his house. The electrician charges an initial fee plus an hourly rate for the number of hours it will take to complete the installation. The function $$y=120+55x$$ can be used to model the cost of the job, in dollars. What is the independent variable in this situation, and what does it represent?

x ; the number of hours to complete the job

$55; the electrician's initial fee for the job

$120; the electrician's initial fee for the job

The equation $$y=8x+50$$ models the cost y for x members of the art club to go to a museum, including the shared cost of hiring a tour guide for $50. Which statement must be true?

It will cost $130 altogether if 10 members go.

It will cost $240 altogether if 30 members go.

8 members of the art club will go to the museum.

50 members of the art club will go to the museum.

Is the ordered pair $$\left(-3,-4\right)$$ a solution on the graph of $$y=-2x^2+3x-4$$ , and why?

No. For an x -value of $$-3$$ on the graph of $$y=-2x^2+3x-4$$ , the y -value is $$-31$$ because $$-2\left(-3\right)^2+3\left(-3\right)-4=-31$$ .

No. The coordinates are reversed because when $$y=-3$$ , $$x=-4$$ ; therefore, the point $$\left(-4,-3\right)$$ is the correct point on the graph of the function.

Yes. For an x -value of $$-3$$ on the graph of $$y=-2x^2+3x-4$$ , the y - value is $$-4$$ because $$-2\left(-3\right)^2+3\left(-3\right)-4=-4$$ .

Yes. The point $$\left(-3,-4\right)$$ represents a solution to the equation because when $$x=-4$$ , $$y=-3$$ ; therefore $$\left(-3,-4\right)$$ is a point on the graph of the function.

Algebra 1 Final Exam Review

Authored by Morgan Cash

Mathematics

9th Grade

CCSS covered

Used 107+ times

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51 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Each pound of cheese costs $5.99.

Each pound of meat costs $5.99.

The total cost for c pounds of cheese is $7.99.

The total cost for m pounds of meat is $7.99.

Tags

CCSS.HSF.LE.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A gardener is using a wheelbarrow to spread topsoil around his flower bed. He buys 8 bags of topsoil with x lb of topsoil each. The gardener uses 2 lb of topsoil for each wheelbarrow trip.
Which expression represents the number of wheelbarrow trips it will take the gardener to spread all the topsoil?

Tags

CCSS.HSA-SSE.A.1A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The crane lifts the materials at a rate of 3 feet per second, and the initial height of the materials is 0 feet.

The crane lifts the materials at a rate of 3 feet per second, and the initial height is 4 feet.

The crane lifts the materials at a rate of 4 feet per second, and the initial height is 0 feet.

The crane lifts the materials at a rate of 4 feet per second, and the initial height is 3 feet.

Tags

CCSS.HSF.LE.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The price of each cup of lemonade is the same at each lemonade stand.

The price of each cup of lemonade is $0.25 less at Florence's lemonade stand compared to Jamal's lemonade stand.

The price of each cup of lemonade is $0.25 more at Florence's lemonade stand compared to Jamal's lemonade stand.

There is not enough information to compare the prices at each lemonade stand.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

the initial height of the ball

the initial number of bounces

the height of the ball after 1 bounce

the height of the ball after 5 bounces

Tags

CCSS.HSF.LE.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

the amount of time necessary to double the population

the final size of the population after x days

the rate at which the population is growing every day

Tags

CCSS.HSF.LE.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The arch, like the graph of the equation, opens upward, and the vertex represents a maximum.

The arch, like the graph of the equation, opens upward, and the vertex represents a minimum.

The arch, like the graph of the equation, opens downward, and the vertex represents a maximum.

The arch, like the graph of the equation, opens downward, and the vertex represents a minimum.

Tags

CCSS.HSF-IF.C.7A

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On a map, Clemonsville and Durant are 120 miles apart. How fast is a car traveling if it takes 3 hours to get from Clemonsville to Durant?

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