Chapter 7 Test Questions

 

The following questions could be used in a Chapter 7 Test

 

Choose the best answer.

 

Each child has t toys. There are 4 children. Which expression shows the total number of toys?

 

Evaluate 2w - 9 for w = -2.

 

Which power is represented by the geometric model below?

 

 

Evaluate 

 

Simplify 2 (m + 3) - m + 4.

 

A total of d dollars is donated to 4 charities. Each charity received $375. Which equation can be solved to find the total amount of money donated?

 

Solve 

 

Which equation is an identity?

 

The scale of a map is 2 cm: 50 km. On the map, the distance between San Jose, California, and San Diego, California is 26.6 centimeters. What is the actual distance between the two cities?

 

Solve 4x - 3y = 12 for y.

 

What is the solution set for 

 

In order to make a profit, a company must hire less than 8 new employees. Which graph shows the number of new employees they can hire?

 

 

Write an inequality that represents the following situation:

Michele is at least 14 years old.

 

Which inequality has the graph shown below?

 

 

Solve 5x + 5  10 - 5x.

 

Which compound inequality is shown by the graph below?

 

 

What is the range of the relation shown?

 

 

Which equation describes the relation shown below?

 

 

For which situation would you expect to see a negative correlation?

 

The size of a pizza and how much it costs.

The age of a whale and the amount of food it consumes.

The street address for a home and the amount of mail it receives.

The number of people at a game and the number of empty seats in the stadium.

 

What is the 23rd term in the arithmetic sequence

11, 14, 17, 20, …?

 

Which function is NOT linear?

 

What is the x-intercept of the line with equation 2y + 3x = 24?

 

The value of y varies directly with x, and y = -15 when x = 5.

Find y when

 

What is the slope of the line graphed below?

 

 

What are the slope and y-intercept of the line described by

y - 2x = 6?

 

With an AutoShine card, the total cost in dollars c of your deluxe car washes is a linear function of the number of washes w. For 2 washes, the cost is $50. For 10 washes, the cost is $90. Which equation represents the cost as a function of the number of washes?

 

Which equation describes a line that is parallel to

 

Which ordered pair is the solution of the system graphed below?

 

 

Solve 2x + 3y = 4 and 3x - 3y = -9

 

What is true about the equations of a system if the system is classified as consistent and dependent?

 

Their slopes are the same, but their y-intercepts are different.

Their slopes are different, but their y-intercepts are the same.

Their slopes are the same, and their y-intercepts are the same.

Their slopes are different, and their y-intercepts are different.

 

Zahra spent $20.50 on 10 party favors for her party. The boys each received a puzzle book that cost $1.75 each. The girls each received a magic trick that cost $2.25 each. How many boys and how many girls attended the party?

 

Which inequality is represented by the graph below?

 

 

Simplify 

 

The country of South Africa has an area of about 1,220,000 sq. km. Which of the following shows the area of South Africa in scientific notation?

 

Which expression below is equivalent to 

 

Simplify 

 

The height of a rocket, in meters, is approximated by the polynomial  where t is time in seconds. What is the height of the rocket after 3 seconds?

 

The weight of a car is modeled with the\ polynomial   The weight of a truck is modeled with the polynomial  Which polynomial represents the combined weight of the car and truck?

 

Use the FOIL method to find the product: 

 

What is the area of the figure below?

 

 

 

Choose the best answer.

 

Evaluate  

 

Simplify 

 

Simplify 

 

What is 0.0001 as a power of 10?

 

What is the value of  

 

What is the value of  

 

Which number is larger than  

 

Which expression below is NOT simplified?

 

Simplify 

 

Simplify 

 

Simplify 

 

Simplify 

 

The estimated number of insects on Earth is    The number of people on Earth currently is estimated to be    What is the estimate for the number of insects per person?

 

The formula     relates the cathode current I in milliamperes and the voltage V in volts for a certain picture tube. Find the cathode current when the voltage is 64 volts.

 

Simplify 

 

 

Choose the best answer.

 

Which of the following is equivalent to 

 

Evaluate 

 

Simplify 

 

Which power of 10 is equivalent to 0.00001?

 

In 2000, the population of Texas was about 20,900,000 people. Write this population in scientific notation.

 

Which of the following is the standard form of  

 

Simplify 

 

Simplify 

 

Simplify 

 

In June 2005, Miami International Airport served about  airline passengers per day. Find the approximate number of airline passengers served in total during the 30 days of June.

 

Simplify 

 

Simplify 

 

Simplify 

 

Simplify the quotient 

 

Simplify 

 

Simplify   All variables represent nonnegative numbers.

 

When written in standard form, which polynomial has a leading coefficient of 5?

 

Classify the polynomial    according to its degree and number of terms.

 

Brett has 100 feet of fence with which to make a rectangular cage for his dog. The area of the cage in square feet is given by the polynomial , where w is the width of the cage in feet. What is the area of the cage if the width is 8 feet?

 

Add 

 

Subtract 

 

Multiply 

 

A rectangle has width w and its length is 2 units shorter than 3 times the width, or 3w - 2. Write a polynomial for the area of the rectangle.

 

Multiply (x – 5)(2x + 4)

 

 Multiply 

 

Multiply 

 

Which product results in 

 

Choose the best answer.

 

Which of the following is equivalent to 

 

Evaluate   for x = -2 and y = 4.

 

Simplify  

 

Which power of 10 is equivalent to 0.0000000000000001?

 

One inch is 0.0254 of a meter. Write this number in scientific notation.

 

Which of the following is the standard form of  

 

Simplify 

 

Simplify 

 

Simplify 

 

In 2000, the population of DeFuniak Springs, Florida, was about 5000 people. The population of the entire state of Florida was about    times larger than the population of DeFuniak. Find the population of Florida in 2000.

 

Simplify 

 

Simplify 

 

Simplify 

 

Simplify the quotient 

 

Simplify 

 

Simplify    All variables represent nonnegative numbers.

 

Which polynomial has a leading coefficient of 1?

 

Classify the polynomial    according to its degree and number of terms.

 

Tina throws a baseball straight up from a height of 3 feet and at a speed of 50 feet per second. The height of the ball in feet is given by the polynomial , where t is the time in seconds. How high is the ball after 3 seconds?

 

Add 

 

Subtract 

 

Multiply 

 

A trapezoid has height h. One base is 2 units longer than the height. The other base is 3 times longer than the height. Write a polynomial for the area of the trapezoid.

 

Multiply (3x – 2)(2x + 6)

 

Multiply 

 

Multiply 

 

Which product results in 

 

Simplify 

 

Evaluate   for x = -6.

 

Simplify 

 

Write 100,000 as a power of 10.

 

In 2000, the population of Forest, Virginia, was about 8,000 people. Write this population in scientific notation.

 

Write   in standard form.

 

Simplify.

 

 

 

 

Mrs. Wilson earns about    every week. About how much will she earn after working for 1000 weeks? Write your answer in scientific notation.

 

Simplify.

 

 

 

 

 

Simplify the quotient    Write the answer in scientific notation.

 

Simplify 

 

Simplify 

 

Write the polynomial    in standard form.

 

Classify the polynomial    according to its degree.

 

Evaluate    for w = 4.

 

Add 

 

Subtract 

 

Multiply 

 

A rectangle has width w and its length is 5 units less than the width, or w - 5.

Write a polynomial for the area of the rectangle.

 

Multiply.

 

(x + 5) (x + 2)

 

 

(x – 5)(x + 5)

 

 

Simplify  

 

Evaluate    for x = -1

 

Simplify  

 

Write 0.0000001 as a power of 10.

 

In 2000, the population of Indiana was about 6,080,000 people. Write this population in scientific notation.

 

Write    in standard form.

 

Simplify.

 

 

 

 

A computer modem can transmit    bytes per second. How many bytes can it transmit in 300 seconds? Write your answer in scientific notation.

 

Simplify.

 

 

 

 

Simplify the quotient    Write the answer in scientific notation.

 

Simplify 

 

Simplify 

 

When the polynomial   is written in standard form, what is the leading coefficient?

 

Classify the polynomial   according to its degree and number of terms.

 

Genie has 100 feet of fence with which to make a rectangular cage for her rabbit. If she uses the wall of her house as one side, the area of the cage in square feet is given by the polynomial , where w is the width of the cage in feet. What is the area of the cage if the width is 15 feet?

 

Add 

 

Subtract 

 

Multiply 

 

A rectangle has width w and its length is 4 units longer than 2 times the width, or 2w + 4. Write a polynomial for the area of the rectangle.

 

Multiply.

 

(x + 6)(3x – 8)

 

 

 

(2x + 4)(2x – 4)

 

Simplify 

 

Evaluate    for x = -3 and y = 2.

 

Simplify 

 

Write 0.0000000000000000001 as a power of 10.

 

The mass of Pluto is 0.0021 times the mass of the Earth. Write this number in scientific notation.

 

Write    in standard form.

 

Simplify.

 

 

 

 

In 2000, the population of Geneseo, New York, was about 7600 people. The population of the entire state of New York was about    times larger than the population of Geneseo. What was the population of New York in 2000? Write your answer in scientific notation.

 

Simplify.

 

 

 

 

Simplify the quotient    Write the answer in scientific notation.

 

Simplify 

 

Simplify    All variables represent nonnegative numbers.

What is the leading coefficient of the polynomial 

 

Classify the polynomial    according to its degree and number of terms.

 

Jamal throws a golf ball straight up from a height of 5 feet and at a speed of 75 feet per second. The height of the ball in feet is given by the polynomial    , where t is the time in seconds. How high is the ball after 4 seconds?

 

Add 

 

Subtract 

 

Multiply 

 

A trapezoid has height h. One base is 4 units shorter than the height. The other base is 5 times longer than the height. Write a polynomial for the area of the trapezoid.

 

Multiply.

 

(4x – 5)(7x + 4)

 

 

 

 

What is the degree of 

 

What is the leading coefficient of 

 

Which of the following is a cubic binomial ?

 

Which number is a root of the polynomial 

 

Add 

 

Subtract 

 

Add 

 

Subtract 

 

Multiply 

 

Multiply 

 

Multiply 

 

Multiply 

 

The length of a rectangle is 5 less than the width. Which polynomial describes the area of the rectangle?

 

Which is NOT a perfect square trinomial?

 

Multiply 

 

Choose the best answer.

 

Which of the following is equivalent to 

 

Evaluate   for x = 2.

 

Simplify 

 

Which power of 10 is equivalent to 1,000?

 

In 2000, the population of Thomasville, North Carolina, was about 20,000 people. Write this population in scientific notation.

 

Which of the following is the standard form of 

 

Simplify 

 

Simplify 

 

Simplify 

 

The radius of the moon is about 1000 miles. The radius of the sun is about  times larger than the radius of the moon. Find the radius of the sun.

 

Simplify 

 

Simplify 

 

Simplify 

 

Simplify the quotient 

 

Simplify 

 

Simplify   The variable x represents a nonnegative number.

 

Which polynomial is written in standard form?

 

Classify the polynomial  according to its degree.

 

Evaluate   for w = 5

 

Add 

 

Subtract 

 

Multiply 

 

A rectangle has width w and its length is 2 units longer than the width, or w + 2. Write a polynomial for the area of the rectangle.

 

Multiply (x + 2)(x + 3)

 

Multiply 

 

Multiply (x + 7)(x – 7)

 

Which product results in