High School Algebra I: Homeschool Curriculum

Using a standard deck of cards (which has 26 red cards and 26 black cards, with 13 cards of every suit), what is the probability of selecting a red card, and then after replacing the card, selecting a heart card?

1/8

Using a standard deck of 52 cards, what is the probability

1/221

If you roll a die three times, what is the probability of rolling only even numbers?

1/8

All of the letters that spell MISSISSIPPI are put into a bag. What is the probability of selecting a vowel, and then after replacing the letter, also drawing an S?

16/121

All of the letters of MISSISSIPPI are put in a bag. What is the probability of selecting both an M and then after not replacing the letter, selecting a P?

1/55

During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the range number of medals won during these Olympic Games.

219

During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the mode number of medals won during these Olympic Games.

47

During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the median number of medals won during these Olympic Games.

47

During the first four Summer Olympic games attended by the United States, these medal counts were awarded. If there is an outlier, identify it from the number of medals won during these Olympic Games.

239

During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the mean number of medals won during these Olympic Games. (Round it to the nearest whole number.)

88

The following data set represents the average annual temperatures for 10 European countries in 2016 (Celsius). Calculate the range.

1.75, 9.8, 7.55, 10.55, 5.8, 9.45, 19.2, 18.45, 16.2, 5.8

17.45

The value that occurs the most frequently in a data set is known as the _____.

Mode

The following data set represents the average number of children per family for 10 countries in 2014. Calculate the mean number of children per family.

5.8, 6.1, 1.9, 1.4, 2.6, 2.8, 1.3, 4.4, 4.4, 1.7

3.24

The following data set represents the minimum wage for 1990-2000. Calculate the median. (As this is money, round to two decimal places.)

8.25, 9.80, 7.25, 7.25, 8.44, 8.75, 8.44, 9.50, 9.60, 9.50

8.60

Which of the following describes the best approach to finding the median of an even set of numbers?

Place numbers in ascending or descending order, calculate the average of the middle terms

What is happening at 7:30 am?

Time	Class
7 am	English
8 am	Algebra
9 am	Science
10 am	History

English

When are we supposed to go to Algebra class?

Time	Class
7 am	English
8 am	Algebra
9 am	Science
10 am	History

8 am

Which friend has 7 puppies?

Friend	# of Puppies
Sarah	3
Susie	5
Jack	7

Jack

According to the table, what was the most popular candy among the students at the Halloween party?

Type of candy	Number of candies brought	Number of candies eaten by students
Snickers	30	12
Starburst	40	10
Sour Patch Kids	50	15
Milky Way	25	20

Milky Way

How many puppies does Susie have according to this table?

Friend	# of Puppies
Sarah	3
Susie	5
Jack	7

5

The bar graph shows the top five grossing movies from 2015. What was the second highest grossing movie?

Jurassic World

The bar graph shows the top five grossing movies from 2015. About how much money did Inside Out gross?

$350 million

Refer to the pie chart showing top fast food chains by 2015 sales. How many sectors does the chart contain?

6

The bar graph shows the top five grossing movies from 2015. Which movie made approximately $450 million?

Avengers: Age of Ultron

Refer to the pie chart showing top fast food chains by 2015 sales. Approximately how much did McDonald's earn, rounding to the nearest billion?

$36 billion

Which of these symbols is commonly used to enclose a matrix?

[ ]

How many rows would a matrix that represents a system of 5 variables and 3 equations have?

3

Which system of equations is represented by the following matrix? (Think of the vertical line as the equal sign.)

Add the following matrices:

Subtract the following matrices:

Find the determinant of the following matrix.

-11

What size is the following matrix?

4×2

Which of the following would be a square matrix?

6×6

Find the determinant of the following matrix.

The determinant cannot be found as it is not a square matrix.

Which choice below could be a possible answer to the determinant of a matrix?

-9

Evaluate |4 + 7| - |4 - 7|

8

What is the correct expression for the absolute value of the following number: 8?

|8|

Evaluate |5 - 3| + 4|3 - 5|

10

Which symbol is used to represent absolute value?

| |

Absolute values make positive numbers _____ and negative numbers _____.

positive, positive

Absolute value symbols around a mathematical operation should be treated like which one of the following?

Parentheses

If a question requires us to know the value of y - x, but all we know is that x + 2 = y, what can we do to solve?

Subtract x from both sides of the equation.

Evaluate |r + s| - (r + s) when -s = r + 8.

16

If a question requires us to know the value of |2x + y|, but all we know is that |x + y| = 5, what can we do to solve?

There is nothing we can do with the equation.

Evaluate |r + 4| - 3|s| when r = 5 and s = -1.

6

Solve the equation: |2x - 5| = 5.

x = 5 or x = 0

Solve the equation: |3x - 9| = 27.

x = 12, -6

What number can we substitute for x that will make the absolute value of x = 12?

12, -12

Solve the equation: |x + 8| = -1.

No solution

Solve the equation: |x| = 99.

x = 99 or x =-99

A transformation that shifts the graph up/down or left/right is called which one of the following?

A translation

What are the coordinates of the vertex of the graph y = |x - 9| - 2?

(9, -2)

Which equation matches the graph below?

Which graph matches the equation below?

Which graph below could represent an absolute value?

Solve the equation: 3|x - 2| - 1 = 11.

x = 6 or -2

What is the first step to solving the equation |2x + 1| - 5 = 7?

Add 5 to both sides.

Solve the equation: |2x + 5| = 11.

x = 3 or x = -8

What is the first step to solving the equation |4x - 2| = 5?

Split the equation into two separate equations.

Solve the equation: -2|x| = 10.

No solution

Which graph describes the following equation?

A graph of y = (1/3)|x| would exhibit which of the following characteristics.

A wide dilation

In the equation y = 3|x-4| + 7, what are the coordinates of the vertex?

(4, 7)

Which equation describes the following graph?

Which absolute value equation would have a graph that is an upside down V?

y = -2|x-1| + 3

Divide the following expressions:

Multiply the following expressions:

When you divide a rational expression you must remember to do what to the second fraction?

1. These are all steps you need to take to divide a rational expression.

2. Slash

3. Multiply

4. Flip

5. Factor

These are all steps you need to take to divide a rational expression.

Multiply the following expressions:

Divide the following expressions:

Multiply the following rational expressions.

Divide the following rational expressions.

Divide the following rational expressions.

Divide:

Multiply the following rational expressions.

Add and simplify.

Subtract and simplify.

Add and simplify.

Subtract and simplify.

Subtract and simplify.

Add the following rational expressions.

Add the following rational expressions.

Subtract the following rational expressions.

Add the following rational expressions.

Subtract the following rational expressions.

Solve the rational equation.

x = 1

Solve for x.

x = 4

Solve for x.

x = 4

Solve the following rational equation.

x = -3

Solve for x.

x = -1.4

Solve for x.

x = 4

Solve for x.

x = 0

Solve for x.

x = 2, x = -4

Solve for x.

x = 21

Solve the following.

x = 0, x = 5

What is the reciprocal of 15/34?

34/15

What is the reciprocal of 1/45?

45

What is the reciprocal of 9/8?

8/9

(1/6)/(9/4) = ?

2/27

5/(7/4) = ?

20/7