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End of Year Review

Last updated over 3 years ago
92 questions
Link to graphing calculator here. Show your work boxes are optional!
Chapter 1
1

Evaluate the expression

when x = 6 and y = 1/2

1

Evaluate the expression

1

Write an equation or inequality.
The quotient of a number w cubed and 9 is more than the difference of 12 and the product of 2 and the number w.

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At a yard sale, you find a number of paperback books by your favorite author. You have $10 and each book is priced at $0.75. Write an equation for the amount of money you have left as a function of the number of books you buy. (x = number of books, y = amount of money left)

1

Identify the range of the function.

Domain: 12, 15, 21, 30

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Identify the domain of the function.

Chapter 2
Complete the statement using the given property.
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(2x + y) + z = __________
Associative Property of Addition

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-10y + ____ = 0
Inverse property of addition

1

Evaluate the expression.

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The area of a square park in a city is 22,500 square feet. Find the perimeter of the park.

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Write an equation for the perimeter, p, of a rectangle with a width of w and a length that is 4 less than twice the width. Simplify!

Chapter 3
1

Solve the equation.

1

Solve the equation.

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A jewelry maker produces necklaces that sell for $85 each. The jewelry maker's costs include $35 in materials for each necklace plus fixed costs of $1650. How many necklaces must the jeweler sell to make the total costs equal the total sale amount?

Chapter 4
Graph the function with the given domain. Then identify the range of the function.
1

Graph!
Domain is -2<x<2

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Domain is -2<x<2
What is the range?

1

Graph!
Domain is x > -3

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Domain is x > -3
What is the range?

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Graph!
Domain is -2, -1, 0, 1, 2

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Domain is -2, -1, 0, 1, 2
What is the range?

Find the slope of the line that passes through the points.
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(-3, -1 and (-3, 4)

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(-7, 5) and (15, 7)

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Write the equation of the line passing through the given point with the given slope. (Hint - use point-slope form!)

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Find the x-intercept of the equation:

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Find the y-intercept of the equation:

Chapter 5
Write an equation of the line that passes throught he given points.
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(-8, 84) and (5, -46)

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(-4, 7) and (9, 7)

The number of metric tons of fruits, nuts, and vegetables imported into the United STates increased at a relatively constant rate of 437.5 metric tons per year form 1990 to 2002. In 2002, about 9,900.5 metric tons of fruits, nuts, and vegetables were imported.
1

Write an equation taht tives the number of metric tons imported as a function of the number of years since 1990 (x = years since 1990, y = metric tons)
Hint: 2002 is when x = 12.

1

Find the year in which the number of metric tons reached 8000.

1

Write an equation of the line that passes through the given points that is parallel to the given line.
(-4, -8), 6x+3y=7
Write your answer in standard form.

1

Write an equation of the line that passes through the given points that is parallel to the given line.
(-4, -8), 6x+3y=7
Write your answer in standard form.

Use this data to answer the following problems:
1

Make a scatterplot of the data:

1

Describe the correlation in your graph.

1

Use the graphing calculator to find the curve of best fit for the data. Round to the hundredths place.

1

Predict the gas mileage for a car that weighs 3,400 pounds. (3.4 thousand pounds)

1

Find the zero of the function.

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What does that mean in this situation?

Chapter 6
1

1

Select all the ordered pairs that are solutions of the graph above!

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Select all the ordered pairs that are solutions of the graph above!

Chapter 7
Solve the linear systems.
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Two friends are making their own greeting cards. They already have ink, but they will buy the stamp and cards. The table shows the number of of stamps and packages of cards each person is buying. Another friend, George, wants to buy 3 stamps and 3 packages of cards. How much will it cost him?

1

A group of your friends goes to a restaurant. There are eight people in your group. Some of the group orders the Thai special for $14.25 each and the rest of the group order the Szechwan special for $13.95. If the total bill was $113.10, how many people ordered Thai food?

1

A group of your friends goes to a restaurant. There are eight people in your group. Some of the group orders the Thai special for $14.25 each and the rest of the group order the Szechwan special for $13.95. If the total bill was $113.10, how many people ordered Szechwan?

1

Write a system of linear inequalities for the shaded region.
Write the inequality for the horizontal line here.

1

Write a system of linear inequalities for the shaded region.
Write the inequality for the diagonal line here.

1

Write a system of linear inequalities for the shaded region.
Write the inequality for the diagonal line here.

1

Write a system of linear inequalities for the shaded region.
Write the inequality for the vertical line here.

Chapter 8
Simpleify the expression. Write your answer using exponents.
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1

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1

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1

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Chapters 9 and 10
Use the quadratic formula when needed:
Find the product.
1

1

1

1

Use the diagram below to answer the following questions.


Write a polynomial that represents the total volume of the box.

1

Use the diagram below to answer the following questions.


Find the volume of the open box when 2 inch squares are cut from each corner.

Factor completely.
1

1

1

1

Solve. Round to the hundredths place if necessary.
1

Put the smaller number first. For example, if the answesrs were -7 and 5, just type -7,5.

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Put the smaller number first. For example, if the answesrs were -7 and 5, just type -7,5.

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What are the coordinates of the vertex?

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What is the equation for the axis of symmetry?

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What is the domain?

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What is the range?

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What are the zeros of the function? Put the smaller number first, comma in between. Round to the hundredths place.

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What is the y-intercept?

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What are the coordinates of the vertex?

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What is the equation of the axis of symmetry?

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What is the domain?

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What is the range?

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What are the zeros of the function? Put the smaller number first, comma in between. Round to the hundredths place.

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What is the y-intercept?

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Use the quadratic equation to solve:

Round to the nearest hundredths place, and put the smaller one first!

Chapter 11
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Chapter 12
1

Identify whether the equation represents direct variation, inverse variation, or neither.

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Identify whether the equation represents direct variation, inverse variation, or neither.

Divide.
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