Maddie solved a quadratic formula using the quadratic formula. She simplified until the solution was $$\frac{9\pm\sqrt[]{5}}{3}=\frac{9}{3}\pm\frac{\sqrt[]{5}}{3}$$ . Which statement is TRUE regarding the completely simplified expression?

The simplified expression is a irrational number . The expression contains one rational number, 3, and one irrational number because the simplified value of $$\frac{\sqrt[]{5}}{3}$$ cannot be written as a fraction with an integer numerator and an integer denominator.

The simplified expression is an irrational number . The expression contains two irrational numbers because the simplified value of $$\frac{9}{3}$$ and $$\frac{\sqrt[]{5}}{3}$$ both cannot be written as fractions with an integer numerator and an integer denominator.

The simplified expression is a rational number . The expression contains two rational numbers because $$\frac{9}{3}$$ and $$\frac{\sqrt[]{5}}{3}$$ can be written as fractions with an integer numerator and an integer denominator.

The simplified expression is a rational number . The expression contains one rational number, 3, and one irrational number because $$\frac{\sqrt[]{5}}{3}$$ can be written as a fraction with an integer numerator and an integer denominator.

Unit 4 (Part 1) Test Review #2

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

CCSS

HSA-REI.B.4B, HSA.APR.C.4, HSA.APR.B.3

+1

Standards-aligned

Gina Robinson

Used 4+ times

FREE Resource

25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If the area of a rectangle is given by x²- 49y², then the product of the width and length can be expressed as:
(Hint: Use Difference of Squares)

(x - 7y)(x - 7y)

(x - 7y)(x + 7y)

(x + 7y)(x + 7y)

(x - 49y)(x - y)

Answer explanation

Remember that Difference of Squares has a Difference.

Tags

CCSS.HSA.APR.C.4

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Factor 4x²- 9y².
(Hint: Use Difference of Squares)

(2x - 3y)(2x + 3y)

(4x - y)(x - 9y)

(2x - 3y)(2x - 3y)

(2x + 3y)(2x + 3y)

Answer explanation

Remember that Difference of Squares has a Difference.

Tags

CCSS.HSA.APR.C.4

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which equation has the same solutions as 5x² - 11x - 12 = 0?
(Hint: Use the box method or Desmos.)

(5x - 4)(x + 3) = 0

(5x + 3)(x - 4) =0

(5x + 4)(x - 3) = 0

(5x - 3)(x + 4) = 0

Answer explanation

Remember that the solutions have the opposite signs from the factored form.

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which of the following is a factor of x² - 9x + 20?
(Hint: Use the Box Method to factor.)

(x + 4)

(x - 5)

(x + 10)

(x - 2)

Answer explanation

This is another way to do the Box Method.

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which of the following is a factor of x² + 5x - 24?
(Hint: Use the Box Method to factor.)

(x - 12)

(x - 8)

(x - 3)

(x + 2)

Answer explanation

This is another way to do the Box Method.

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve (x – 6)(x + 5) = 0.
(Hint: Remember to change the signs.)

x = – 6 or x = – 5

x = 6 or x = 5

x = – 6 or x = 5

x = 6 or x = – 5

Answer explanation

Remember that the solutions have the opposite signs from the factored form.

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If 2x is a factor of 2x²- 12x, what is the other factor?
(Hint: Use GCF Factoring.)

(x² - 6)

(x + 6)

(x - 6)

(x² - 6x)

Answer explanation

2x is the GCF, so that goes on the outside of the expression. The remainder is the other factor.

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Unit 4 (Part 1) Test Review #2

25 questions

If the area of a rectangle is given by x²- 49y², then the product of the width and length can be expressed as:
(Hint: Use Difference of Squares)

Remember that Difference of Squares has a Difference.

Factor 4x²- 9y².
(Hint: Use Difference of Squares)

Remember that Difference of Squares has a Difference.

Which equation has the same solutions as 5x² - 11x - 12 = 0?
(Hint: Use the box method or Desmos.)

Remember that the solutions have the opposite signs from the factored form.

Which of the following is a factor of x² - 9x + 20?
(Hint: Use the Box Method to factor.)

This is another way to do the Box Method.

Which of the following is a factor of x² + 5x - 24?
(Hint: Use the Box Method to factor.)

This is another way to do the Box Method.

Solve (x – 6)(x + 5) = 0.
(Hint: Remember to change the signs.)

Remember that the solutions have the opposite signs from the factored form.

If 2x is a factor of 2x²- 12x, what is the other factor?
(Hint: Use GCF Factoring.)

2x is the GCF, so that goes on the outside of the expression. The remainder is the other factor.

If 6x² is a factor of 6x³+ 18x², what is the other factor?
(Hint: Use GCF Factoring.)

6x² is the GCF, so that goes on the outside of the expression. The remainder is the other factor.

Which three functions have zeros of x = 5 and x = -3?
(Hint: Remember to change the signs. Factor or use Desmos.)

Remember that the solutions have the opposite signs from the factored form.

What are the zeros of the function f(x) = 24x² - 37x - 5.
(Hint: Use the box method or Desmos.)

Remember that the solutions have the opposite signs from the factored form. Another word for solutions, roots or x-intercepts is zeros.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Unit 4 (Part 1) Test Review #2

25 questions

If the area of a rectangle is given by x2 - 49y2, then the product of the width and length can be expressed as:(Hint: Use Difference of Squares)

Remember that Difference of Squares has a Difference.

Factor 4x2 - 9y2.(Hint: Use Difference of Squares)

Remember that Difference of Squares has a Difference.

Which equation has the same solutions as 5x2 - 11x - 12 = 0?(Hint: Use the box method or Desmos.)

Remember that the solutions have the opposite signs from the factored form.

Which of the following is a factor of x2 - 9x + 20?(Hint: Use the Box Method to factor.)

This is another way to do the Box Method.

Which of the following is a factor of x2 + 5x - 24?(Hint: Use the Box Method to factor.)

This is another way to do the Box Method.

Solve (x – 6)(x + 5) = 0.(Hint: Remember to change the signs.)

Remember that the solutions have the opposite signs from the factored form.

If 2x is a factor of 2x2 - 12x, what is the other factor?(Hint: Use GCF Factoring.)

2x is the GCF, so that goes on the outside of the expression. The remainder is the other factor.

If 6x2 is a factor of 6x3 + 18x2, what is the other factor?(Hint: Use GCF Factoring.)

6x2 is the GCF, so that goes on the outside of the expression. The remainder is the other factor.

Which three functions have zeros of x = 5 and x = -3?(Hint: Remember to change the signs. Factor or use Desmos.)

Remember that the solutions have the opposite signs from the factored form.

What are the zeros of the function f(x) = 24x2 - 37x - 5.(Hint: Use the box method or Desmos.)

Remember that the solutions have the opposite signs from the factored form. Another word for solutions, roots or x-intercepts is zeros.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

If the area of a rectangle is given by x²- 49y², then the product of the width and length can be expressed as:
(Hint: Use Difference of Squares)

Factor 4x²- 9y².
(Hint: Use Difference of Squares)

Which equation has the same solutions as 5x² - 11x - 12 = 0?
(Hint: Use the box method or Desmos.)

Which of the following is a factor of x² - 9x + 20?
(Hint: Use the Box Method to factor.)

Which of the following is a factor of x² + 5x - 24?
(Hint: Use the Box Method to factor.)

Solve (x – 6)(x + 5) = 0.
(Hint: Remember to change the signs.)

If 2x is a factor of 2x²- 12x, what is the other factor?
(Hint: Use GCF Factoring.)

If 6x² is a factor of 6x³+ 18x², what is the other factor?
(Hint: Use GCF Factoring.)

6x² is the GCF, so that goes on the outside of the expression. The remainder is the other factor.

Which three functions have zeros of x = 5 and x = -3?
(Hint: Remember to change the signs. Factor or use Desmos.)

What are the zeros of the function f(x) = 24x² - 37x - 5.
(Hint: Use the box method or Desmos.)