Solving Equations with Perfect Squares, Cubes, and Roots

Solving Equations with Perfect Squares, Cubes, and Roots

9th Grade

20 Qs

quiz-placeholder

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Solving Equations with Perfect Squares, Cubes, and Roots

Solving Equations with Perfect Squares, Cubes, and Roots

Assessment

Quiz

Mathematics

9th Grade

Practice Problem

Hard

CCSS
HSA-REI.B.4B, 8.EE.A.2, HSA.REI.A.2

+1

Standards-aligned

Created by

Anthony Clark

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20 questions

Show all answers

1.

REORDER QUESTION

1 min • 6 pts

Media Image

What are the steps to solving this by completing the square?

Add 25 to both sides of the equation

Rewrite the left hand side as a (binomial)2

Subtract 21 from both sides of the equation

Subtract 5 from both sides of the equation

Take the square root of both sides of the equation

Answer explanation

Media Image

Steps for completing the square when a=1

1st: Rewrite as x2 + bx = c

2nd: Take half of b, square it, then add this to both sides.

3rd: Factor the perfect square trinomial.

4th: Take the square root of both sides and solve for both cases.

5th: Write the answer using curly braces in set notation

Tags

CCSS.HSA-REI.B.4B

2.

DRAG AND DROP QUESTION

1 min • 6 pts

Media Image

If you have a ​ (a)   , you can solve the quadratic equation by square roots!

Remember a ​ (b)   number always has ​ (c)   real square roots, so you must solve for both cases.

difference of squares

perfect square trinomial

positive

negative

sum of cubes

difference of cubes

rational

two

one

three

Tags

CCSS.HSA-REI.B.4B

3.

REORDER QUESTION

1 min • 6 pts

Media Image

Reorder the following steps to solve a quadratic equation when the leading coefficient is 1 (a = 1) to solve the equation by completing the square.

Write the answer using curly braces in set notation

Factor the perfect square trinomial.

Take half of b, square it, then

add this to both sides.

Take the square root of both sides and solve for both cases.

Rewrite as

x2 + bx = c

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

x2 - 64 = 0

64

8

8 or -8

1 or -64

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

x = 12
x = 24
x = 144
x = 121

Tags

CCSS.8.EE.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Determine the value of x in the equation below.

10

-10

±10

none of the above

Tags

CCSS.8.EE.A.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Determine the value of x in the equation below.

√15

-√15

±√15

none of the above

Tags

CCSS.8.EE.A.2

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