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To the nearest tenth of a foot, what is the length of one side of the floor?Chapter 9 Practice Test Questions
The following questions could be used in a Chapter 9 Test
Choose the best answer.
Larry is 5 feet tall. His brother Mason is t feet taller than him. Which expression shows how tall Mason?
Subtract 8.4 – (-4.2).
A tree house
has a square floor with a total area of
.
To the nearest tenth of a foot, what is the length of one side of the floor?
Simplify
Which expression represents the perimeter of the figure below?
Solve 4 - m = 7.
8 more than 4 times a number is equal to 4 less than 6 times the number. What is the number?
The ratio of female board members to male board members is 3:8. There are 24 male board members. How many female board members are there?
Solve 2x - 3y = 12 for y.
Which absolute-value equation has {8} as its solution set?
Which situation matches the graph shown below?
Solve the
inequality 
Solve
A director is auditioning parts for a movie from actors who are older than 12 and no more than 30 years old. Which graph shows the ages of actors the director is considering?
Which situation could be represented by the graph below?
A woman runs faster until she reaches her top speed and then slows down.
A dog walks down a hill, across a field, and up another hill.
A train slows down, travels slowly through a tunnel, and then accelerates.
A car slows down, waits at a stop light, and then accelerates.
The amount of
time in minutes it takes to clean a restaurant is given by
c
where c is the number of customers they had. What is the range of
this function?
A buffet costs $15 plus $2 for each drink. Which function gives the total cost?
The height of a tree is measured at 4 different times. Draw a scatter plot and trend line.
What is the best prediction for the height of the tree when it is 8 years old?
What is the 19th term in the arithmetic sequence 11, 7, 3, _1, …?
Which linear equation has a y-intercept of 4?
Find the slope of the line that contains the points (3, 2) and (-3, 8).
Which equation describes the line with a slope of -3 that contains the point (2, 4)
Four lines are
drawn on a coordinate plane, and they intersect to form a rectangle. If the
equation of one line is 
,
which of the following could NOT be the equation of one of the other three
lines?
Which ordered pair is a solution of x – y = -10 and 2y + x = 8
Which system has an infinite number of solutions?
Last week, Caroline worked a total of 14 hours at two part-time jobs. One job pays $9.00 per hour and the other job pays $10.50 per hour. Her total income for the week was $139.50. How many hours did she work at each job?
Bianca is buying shirts s and pants p for the new school year. Shirts cost $10 each and pants cost $15 each. She needs at least 4 shirts and 2 pairs of pants, and can spend no more than $100. Which system represents this situation?
Evaluate
for
w = 10, and z = 2
There are
molecules
of gas in a certain container. How many molecules of gas are there in 20 such
containers?
Simplify
What is the perimeter of this rectangle?
Multiply (3x – 4)(3x + 4).
Patton is organizing his stamp collection into a book. He has 42 foreign stamps and 70 U.S. stamps. He wants every page to have the same number of stamps, but foreign stamps and U.S. stamps will not appear on the same page. If he puts the greatest number of stamps on each page, how many pages will he use?
Which is the
complete factorization of 
Which trinomial is a perfect square trinomial?
Factor
completely.
Find the axis
of symmetry of the graph of 
Find the
coordinates of the vertex for the graph of
After a golf
ball is hit, its height h in feet after t seconds is given by the
function
.
How many seconds is the golf ball in the air?
Find the
solutions to 
by
factoring.
A painter is working on a canvas that has a total area of 338 square inches. The canvas is x inches wide and twice as long. Find the value of x.
Complete the
square to form a perfect square trinomial.
The equation for which graph will have a discriminant equal to 0?
Choose the best answer.
Which point is on the graph
of 
Which function has a graph that opens downward?
What is the vertex of the parabola graphed below?
What are the zeros of the function graphed below?
What is the vertex of the
graph of 
Which function’s graph has an axis of symmetry of x = 2?
What function is shown on the graph below?
The height in feet of a
rocket launched from the ground can be modeled by the Function
,
where x is the time in seconds after it is launched. What is the rocket’s
maximum height?
Without
graphing, tell whether the point 
is
on the graph of 
Identify the vertex of this parabola. Then give the minimum or maximum value of the function.
Use a table of values to graph
Find the zeros
of 
from
its graph below.
Find the axis
of symmetry and vertex of the graph of
If you graph
,
what will be the y-intercept?
The height in
meters of a ball can be modeled by the function
,
where x is the time in seconds after it is hit. How long is the ball in
the air?
Use this graph
of the quadratic function 
to
find the roots of the polynomial 
Solve by
factoring. 
A 6-foot tall
soccer player bunts the ball with his head. The ball’s height above the ground
can be modeled by the function 
,
where h is height in feet and t is time in seconds. Find the time
it takes the ball to reach the ground.
Solve
using
square roots. Give exact solutions.
Complete the
square to form a perfect square trinomial. Give exact solutions.
Solve
by
completing the square. Give exact solutions.
Solve
using
the Quadratic Formula. Give exact solutions.
Find the
number of real solutions of the equation
using
the discriminant.
Choose the best answer.
The vertex of a quadratic function is in the second quadrant. The related equation has no real solutions. Which statement is true?
Use the graph to find the
roots of 
What are the solutions of (x + 2)(x – 3) = 0?
What are the solutions of
What are the solutions of
A rectangle with an area of
124 
has
a length that is 4 times the width. How long is the width? (Round to the nearest
tenth.)
What value of c will
make 
a
perfect square trinomial?
Solve
by
completing the square.
Carlos is using the
Quadratic Formula to find the solutions of
. Which of the following will simplify to the correct solutions?
The discriminant of a quadratic equation is 0. Which statement is true?
How many x-intercepts
does 
have?
Choose the best answer.
Which point is
on the graph o
?
The vertex of this parabola shows that the ____ value of the function is ____.
Which table of
values would you use to graph
?
Find the zeros
of
from
its graph below.
Find the axis of symmetry of this parabola.
If you graph
,
they-intercept would be.
The height in
feet of a ball can be modeled by the function
,
where x is the time in seconds after it is hit. How long is the ball in
the air?
Use this graph
of the quadratic function
to
find the roots of the polynomial
Solve
by
factoring.
A toy rocket
is launched from a platform that is 10 meters high. The rocket’s height above
the ground can be modeled by the function
,
where h is height in meters and t is time in seconds. Find the
time it takes the rocket to reach the ground.
Solve
using
square roots.
Which number completes the square to form a perfect square trinomial?
Solve
by
completing the square.
Solve
using
the Quadratic Formula.
Find the
number of real solutions of the equation
using
the discriminant.
Choose the best answer.
Which point is
on the graph of 
The vertex of this parabola shows that the value of the function is
Which table of
values would you use to graph 
Find the
zero(s) of 
from
its graph below.
Find the axis
of symmetry of the graph of 
If you graph
,
the y-intercept would be .
The height in
feet of a ball can be modeled by the function
where
x is the time in seconds after it is hit. How long is the ball in the
air?
Use this graph
of the quadratic function 
to
find the roots of the polynomial 
.
Solve
by
factoring.
A stunt diver
jumps from the top of a 40-meter platform. The diver’s height above the water
can be modeled by the function 
,
where h is height in meters and t is time in seconds. Find the
time it takes the diver to reach the water.
Solve
using
square roots.
Which number completes the square to form a perfect square trinomial?
Solve
by
completing the square.
Solve
using
the Quadratic Formula.
Find the
number of real solutions of the equation
using
the discriminant.
Which point is
on the graph of 
The vertex of this parabola shows that the value of the function is
Which table of
values would you use to graph 
Find the
zero(s) of 
from
its graph below.
Find the axis
of symmetry and vertex of the graph of
If you graph
,
the y-intercept would be .
The height in
feet of a ball can be modeled by the function
,
where x is the time in seconds after it is hit. How long is the ball in
the air?
Use this graph
of the quadratic function 
to
find the roots of the polynomial 
Solve
by
factoring.
A 2-meter tall
soccer player bunts the ball with his head. The ball’s height above the ground
can be modeled by the function 
,
where h is height in meters and t is time in seconds. Find the
time it takes the ball to reach the ground.
Solve
using
square roots.
Which number
completes the square to form a perfect square trinomial?
Solve
by
completing the square.
Solve
using
the Quadratic Formula.
Find the
number of real solutions of the equation
using
the discriminant.
Without
graphing, tell whether the point (5, 30) is on the graph of
Identify the vertex of this parabola. Then give the minimum or maximum value of the function.
Use a table of
values to graph 
Find the zeros
of 
from
its graph below.
The zeros of the graph of a quadratic function are 2 and 6. What is its axis of symmetry?
If you graph
,
what would be the y-intercept?
The height in
meters of a ball can be modeled by the function
,
where x is the time in seconds after it is hit. How long is the ball in
the air?
Use this graph
of the quadratic function 
to
find the roots of the polynomial 
Solve
by
factoring.
A stunt diver
jumps from the top of a 96-foot platform. The diver’s height above the water can
be modeled by the function 
,
where h is height in feet and t is time in seconds. Find the time
it takes the diver to reach the water.
Solve
using
square roots. Give exact solutions.
Complete the
square to form a perfect square trinomial.
Solve
by
completing the square. Give exact solutions.
Solve
using
the Quadratic Formula. Give exact solutions.
Find the
number of real solutions of the equation
sing the discriminant.
Without
graphing, tell whether the point (-2, 22) is on the graph of
Identify the vertex of this parabola. Then give the minimum or maximum value of the function.
Use a table of
values to graph
Find the zeros
of 
from
its graph below.
Find the axis
of symmetry of the graph of 
If you graph
,
what would be the y-intercept?
The height in
meters of a ball can be modeled by the function
,
where x is the time in seconds after it is hit. Graph the function. How
long is the ball in the air?
Use this graph
of the quadratic function 
to
find the roots of the polynomial .
Solve
by
factoring.
A toy rocket
is launched from a platform that is 48 feet high. The rocket’s height above the
ground can be modeled by 
where
h is height in feet and t is time in seconds. Find the time it
takes the rocket to reach the ground.
Solve
using
square roots. Give exact solutions.
Complete the
square to form a perfect square trinomial.
Solve
by
completing the square. Give exact solutions.
Solve
using
the Quadratic Formula. Give exact solutions.
Find the
number of real solutions of the equation
using
the discriminant.