First 4 Week Remediation

Multiple Choice

Which of the following best describes an outlier in a data set?

• A value that is much higher or lower than the rest of the data

• The average of all values in the data set

• The most frequently occurring value in the data set

• The difference between the highest and lowest values

Multiple Choice

Which statistical measure gives a general idea of the "typical" value in a dataset and helps summarize large sets of data into a single representative value in algebra?

• Mode

• Mean

• Median

• Range

Multiple Choice

Which statistical measure represents the middle value when data is ordered and is especially useful for understanding central tendency in the presence of outliers?

• Mode

• Mean

• Median

• Range

Multiple Choice

Which statistical measure identifies the most frequently occurring value and is useful for spotting trends in categorical or discrete data?

• Mode

• Mean

• Median

• Range

Multiple Choice

Which statistical measure calculates the spread between the highest and lowest values and helps assess variability in a dataset?

• Mode

• Mean

• Median

• Range

Multiple Select

Which of the following are true about the data set in Version B?

• The mode is 20

• The range is 40

• There are no outliers

• The mean is greater than the median

Relations have many input and output values (x and y)​

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Functions have only one input for each output (aka the x values never repeat)​

​Relation and Function

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Multiple Choice

Is the following table a function?

• yes

• no

Mapping​s show the arrows from x to y values

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If two arrows go from one x-value, it is not a function​

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​Mapping

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Multiple Choice

Is the following map a function or relation?

• function

• relation

Multiple Choice

Is the following graph a function or not?

• not a function

• function

If you draw a vertical line through any place on the graph and it hits two points​, it is not a function

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​Some text here about the topic of discussion.

​Vertical Line Test

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Domain is all of the INPUTS or X-VALUES​

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Range is all of the OUTPUTS or Y-VALUES​

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​Domain and Range

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Use brackets {​ } and list the numbers from least to greatest

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Do NOT list repeated numbers​

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​Writing Domain and Range

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Multiple Choice

What is the domain of the table?

• {-1, 0, 1, 2, 3}

• {3, 6, 9, 12, 15}

Multiple Choice

What is the range of the function?

• {-2, -1, 0}

• {-5, -3, -1, 3, 5}

Multiple Choice

Is the relation a function?

• no

• yes

Multiple Choice

What is the range of the function?

• {1,3,4,5,6}

• {2,3,5,7,9}

Multiple Select

What is the domain?

• input

• output

• x-values

• y-values

Multiple Choice

What is the range of the function?

• {2,3,4,5}

• {8,9,10,11}

Multiple Choice

Is the mapping a relation or function?

• no

• yes

Multiple Select

Range can also be referred to as

• y-values

• x-values

• input

• output

Multiple Choice

What is the range?

• {1,2,2,5}

• {0,1,2,4}

• {1,2,5}

• {5,2,1}

Fill in the Blank

Solve the quadratic equation.

$$3x^2+14x+15=0$$  

Fill in the Blank

Solve the quadratic equation.

$$2x^2+13x-7=0$$  

Fill in the Blank

Solve the quadratic equation.

$$5x^2-21x+4=0$$  

Fill in the Blank

Solve the quadratic equation.

$$6x^2+5x+1=0$$  

Fill in the Blank

Solve the quadratic equation.

$$12x^2+32x=-5$$  

Fill in the Blank

Solve the quadratic equation.

$$5x^2+7x=x^2+2$$  

Multiple Choice

Which is the general form of a quadratic equation?

• $$y=mx+b$$

• $$ax^2+bx+c=0$$

• $$\left(x-a\right)\left(x-b\right)=0$$

Multiple Choice

Determine the values of

a, b, and c for

the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

We will need the general form in order to use the quadratic formula

Multiple Choice

Use the quadratic formula to solve 2x² + 2x - 12?

• x = -2, 3

• x = 2, 3

• x = 2, -3

• x = -2, -3

Multiple Choice

Solve using the quadratic formula.
$$2x^2-9x-35=0$$  

• $$x=\frac{7}{2},\ x=-6$$  

• $$x=-\frac{5}{2},\ x=5$$  

• $$x=-\frac{3}{7},\ x=6$$  

• $$x=-\frac{5}{2},\ x=7$$  

Multiple Choice

Solve $$2x2+7x-15=0$$  

• x = -1.5 or 5

• No Solution

• x = -5 or 1.5

• x = 0.7 or 5

We will use this to determine how many solutions a quadratic has!

Multiple Choice

Use the discriminant to determine the number of solutions for: $$x^2-x+2=0$$  

• 2 real soltuions

• 2 complex solutions

• 1 real solution

• no solution

Multiple Choice

Use the discriminant to determine the number of solutions for: $$2x^2-3x-2=0$$  

• 2 real solutions

• 2 complex solutions

• 1 real solution

Multiple Choice

Use the discriminant to determine the number of solutions for: $$x^2-2x+1=0$$  

• 2 real solutions

• 2 complex solutions

• 1 real solution

Multiple Choice

Given the zeros , what is the quadratic equation?

• y=x² +6x -8

• y=x² +6x +8

• y=x² -2x -8

• y=x² -2x +8

Multiple Choice

Given the zeros, what is the quadratic equation?

• y=3x² +10x +8

• y=2x² ++11x +8

• y=3x² +14x +8

• y=2x² +5x +8

Multiple Choice

Write a quadratic function with solutions of

$$2+3i$$  and  $$2-3i$$  

• $$h\left(x\right)=x^2-4x-6$$  

• $$p\left(x\right)=x^2-4x-6$$  

• $$k\left(x\right)=x^2-4x+13$$  

• $$f\left(x\right)=x^2+4x+13$$  

Poll

What is your favorite way of solving quadratic equations so far?!

• Factoring

• Square Root Property

• Completing the Square

• Quadratic Formula