Kelso Math: Algebra 2B - Unit 1 - Lesson 9

Last updated over 5 years ago

16 questions

1

8.NS.1

A.REI.4.b

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8.NS.1

A.REI.4.b

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1

8.NS.1

A.REI.4.b

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1

8.NS.1

A.REI.4.b

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Library

Kelso Math: Algebra 2B - Unit 1 - Lesson 9

Last updated over 5 years ago

16 questions

1

8.NS.1

A.REI.4.b

…

1

8.NS.1

A.REI.4.b

…

1

Draggable item		Corresponding Item

8.NS.1

A.REI.4.b

…

1

8.NS.1

A.REI.4.b

…

Decide whether each number is rational or irrational.

\sqrt{0.6}
\sqrt \frac{25}{4}
\frac{4}{5}
\sqrt{10}
-3
\sqrt{4}
10

Rational
Irrational

Here are the solutions to some quadratic equations. Select all solutions that are rational.

1

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.

Answer format: x=_ or x=_

1

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.

Answer format: x=_ or x=_

1

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.

Answer format: x=_ or x=_

1

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.

Answer format: x=_ or x=_

1

Match each equation to an equivalent equation with a perfect square on one side.

Draggable item		Corresponding Item
x^{2}-\frac{6}{7}x=\frac{1}{49}		(x-\frac{9}{2})^{2}=\frac{83}{4}
x^{2}+9x=\frac{1}{2}		(x-\frac{3}{7})^{2}=\frac{10}{4}
x^{2}+6.4x-8.9=0		(x-2.5)^{2}=17.25
x^{2}+1.21x=6.28		(x-0.05)^{2}=0.002
x^{2}+0.1x-0.0005=0		(x-3.2)^{2}=19.14
x^{2}-5x=11		(x-0.605)^{2}=6.646025

Review from Tri 1: Which quadratic expression is in vertex form?

(x-3)(x-6)

x^{2}-6x+8

(x-6)^{2}+3

(8-x)x

Decide whether each number is rational or irrational.

\sqrt{0.6}

\sqrt \frac{25}{4}

\frac{4}{5}

\sqrt{10}

-3

\sqrt{4}

10

Rational

Irrational

Here are the solutions to some quadratic equations. Select all solutions that are rational.

\frac{1}{2} \pm 3

5 \pm 2

\sqrt{4} \pm 1

\pm \sqrt{25}

1\pm \sqrt{2}

10 \pm \sqrt{3}

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.

Answer format: x=_ or x=_

Are the solutions to #3 rational or irrational?

Rational

Irrational

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.

Answer format: x=_ or x=_

Are the solutions to #5 rational or irrational?

Rational

Irrational

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.

Answer format: x=_ or x=_

Are the solutions to #5 rational or irrational?

Rational

Irrational

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.

Answer format: x=_ or x=_

Are the solutions to #5 rational or irrational?

Rational

Irrational

Based on the graph, what are the solutions?

Can you tell whether they are rational or irrational? Select the BEST response.

I know they are irrational because they're making decisions without using logic or reason.

I know they are rational because they are positive numbers.

It is hard to tell because those numbers do not seem to be the decimal form of a familiar number like 2.5 or 3.25. So the solutions could be rational or irrational.

Put the steps in order to solving the equation:

Are the solutions from #13 rational or irrational?

Rational

Irrational

Match each equation to an equivalent equation with a perfect square on one side.

x^{2}-\frac{6}{7}x=\frac{1}{49}

(x-\frac{9}{2})^{2}=\frac{83}{4}

x^{2}+9x=\frac{1}{2}

(x-\frac{3}{7})^{2}=\frac{10}{4}

x^{2}+6.4x-8.9=0

(x-2.5)^{2}=17.25

x^{2}+1.21x=6.28

(x-0.05)^{2}=0.002

x^{2}+0.1x-0.0005=0

(x-3.2)^{2}=19.14

x^{2}-5x=11

(x-0.605)^{2}=6.646025

Review from Tri 1: Which quadratic expression is in vertex form?

(x-3)(x-6)

x^{2}-6x+8

(x-6)^{2}+3

(8-x)x

Are the solutions to #3 rational or irrational?

Rational

Irrational

Are the solutions to #5 rational or irrational?

Rational

Irrational

Are the solutions to #5 rational or irrational?

Rational

Irrational

Are the solutions to #5 rational or irrational?

Rational

Irrational

Based on the graph, what are the solutions?

(3, -4)

2.778

What graph?

0

3.222

Can you tell whether they are rational or irrational? Select the BEST response.

I know they are irrational because they're making decisions without using logic or reason.

I know they are rational because they are positive numbers.

It is hard to tell because those numbers do not seem to be the decimal form of a familiar number like 2.5 or 3.25. So the solutions could be rational or irrational.

Put the steps in order to solving the equation:

Are the solutions from #13 rational or irrational?

Rational

Irrational

Kelso Math: Algebra 2B - Unit 1 - Lesson 9

Kelso Math: Algebra 2B - Unit 1 - Lesson 9

Decide whether each number is rational or irrational.

Here are the solutions to some quadratic equations. Select all solutions that are rational.

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.Answer format: x=___ or x=___

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.Answer format: x=___ or x=___

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.Answer format: x=___ or x=___

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.Answer format: x=___ or x=___

Match each equation to an equivalent equation with a perfect square on one side.

Review from Tri 1: Which quadratic expression is in vertex form?

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.Answer format: x=___ or x=___

Are the solutions to #3 rational or irrational?

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.Answer format: x=___ or x=___

Are the solutions to #5 rational or irrational?

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.Answer format: x=___ or x=___

Are the solutions to #5 rational or irrational?

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.Answer format: x=___ or x=___

Are the solutions to #5 rational or irrational?

Based on the graph, what are the solutions?

Can you tell whether they are rational or irrational? Select the BEST response.

Put the steps in order to solving the equation:

Are the solutions from #13 rational or irrational?

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.

Answer format: x=_ or x=_

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.

Answer format: x=_ or x=_

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.

Answer format: x=_ or x=_

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.

Answer format: x=_ or x=_

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.

Answer format: x=_ or x=_

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.

Answer format: x=_ or x=_

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.

Answer format: x=_ or x=_

Solve the equation. Click on the keyboard icon in the answer box to get the "plus or minus" and "square root" signs if needed.

Answer format: x=_ or x=_