8th Grade PM3 Review

8th Grade
PM3 Review

By Bills, Melanie

​Now, let's review Chapters 1-2 again!

​Rational VS. Irrational Numbers

​ALL NUMBERS ARE EITHER:

RATIONAL OR IRRATIONAL

• any whole number (+ or -) divided by another whole number (+ or -, but NOT 0).

• fractions

• decimals that terminate (end)

• decimals that repeat

• whole numbers

​A decimal that goes on forever and NEVER repeats.

Examples:
Π and anything +, - , x, or divided to Π.
Many (NOT all) square roots and cube roots.

.

Dropdown

What kind of number is this? ​ ​

Select answer

Multiple Choice

Evaluate.

• 1

• -1

• 1, -1

• not possible

Multiple Choice

Which of the following is an irrational number?

• 0.333

• $$\sqrt{8}$$

• $$\sqrt{49}$$

• $$\frac{5}{22}$$

Multiple Choice

Evaluate.

• 13

• -13

• 13, -13

• not possible

Multiple Choice

Evaluate

• 3

• -3

• 3,-3

• not possible

​Problem solving with square and cube roots

​Area: This is ALWAYS _________.











The area of the square is 16 m².
What is the side length?

​Volume: This is ALWAYS ___________.
The volume of the cube is 28 m³. What is the side length rounded to nearest tenth?

Math Response

A cube has the volume of 22 cubic inches. What is a side length? Round your answer to the nearest hundredth, if necessary.

Type answer here

Correct Answer: 2.80

Deg^°

Rad

Multiple Choice

Order 5π, √ 10 , and 3.25 from least to greatest.

• √ 10, 5π, 3.25

• √ 10, 3.25, 5π

• 5π, 3.25, √ 10

•  3.25, √ 10, 5π

Math Response

Evaluate

Type answer here

Correct Answer: 1

Deg^°

Rad

Multiple Choice

Simplify.

• 8w²x

• w²x/8

• 8/xw²

• w²x/49

Multiple Choice

Subtract and put the answer in proper scientific notation.

• 13.441 x 10⁶

• 1.3441 x 10⁷

• 0.13441 x 10⁵

• 1.3441 x 10⁴

​Now, let's review Chapters 1-2 again!

Multiple Choice

An expression is shown.

(1.5x)(3.6x+2)

Enter a value to complete the product of the expression.

5.4x² + __x

• 1.5

• 5.4

• 3

• 4.3

• 2

Math Response

Solve for x. Please type the NUMBER ONLY! Do NOT type "x=".

Type answer here

Correct Answer: 32

Deg^°

Rad

Inequalities Reminders

Solve and graph the inequality −225 ≤ 320 − 0.5𝑥.

Draw

Find the solution

$$6\ -\ a\ \ge\ 15$$

Express the solution in set notation and on the number line.

​From tables:

Multiple Choice

A linear relationship is given in the table.

Write the equation for the line.

• y = 1/2x + 9

• y = 1/9x -18

• y = 2x + 18

• y = 9x - 9

​90

​180

Multiple Choice

In triangle 𝐿𝑀𝑁, the measure of angle 𝐿 is 50° and the measure of angle 𝑀 70°. What is the measure of the exterior angle to angle 𝑁?

• 120 degrees

• 50 degrees

• 60 degrees

• 70 degrees

Multiple Choice

Find K' if the figure is reflected across the x-axis

• (4, 1))
• (-1, -4)
• (1, -4)
• (1, 4)

Multiple Choice

Factor Completely:

3x⁵ - 27x³

^{Hint: First GCF factor and then DOTPS....use scrap paper!}

• 3(x³ - 3)(x² + 3)

• 3x³(x + 3)(x + 3)

• 3x³(x² - 9)

• 3x³(x - 3)(x + 3)

Multiple Choice

12x + 9

• 3(4x + 3)
• x(12+9)
• 3(4x - 3)
• not factorable

Multiple Choice

Make this negative exponent positive.
9^-3

• 9³
• 1/9^-3
• 1/9³
• 729

Multiple Choice

(x³y)⁶

• 2x¹⁸y⁶
• x¹⁸y⁶
• x³y⁶
• x³y⁶

Multiple Choice

Simplify the following expression: 
xy^-7

• xy⁷
• x/y⁷
• x⁷/y
• x⁷y

Multiple Choice

• w
• w^-1= 1/w
• -w
• w¹⁷

Multiple Choice

Is this mapping a function or not a function? 

• Function
• Not a Function 

Multiple Choice

Is this table a function or not a function? 

• Function
• Not a Function

Multiple Choice

What type of slope does the graph have?

• Positive
• Negative
• Zero Slope
• Undefined

Multiple Choice

What type of slope does the graph have?

• Zero
• Undefined
• Negative
• Positive

Multiple Choice

What is the slope in the equation y=2x + 3?

• 2
• 3
• 5
• Cannot be Determined 

Multiple Choice

Write the equation for the line in slope-intercept form.

• y= -1x+3
• y= 4x+3
• y=1/4x+3
• y= -4x+3

Multiple Choice

What is the equation of this line?

• y = 2x +2
• y = 2x -2
• y = -x + 2
• Cannot be Determined

Multiple Choice

What is the slope in the picture?

• Positive
• Negative
• Zero
• Undefined

Multiple Choice

Which equation matches the graph? (Click me to see the image)

• y = 2x
• y = 1/4 x + 2
• y = 1x + 4
• y = -2x

​Rational VS. Irrational Numbers

​ALL NUMBERS ARE EITHER:

RATIONAL OR IRRATIONAL

• any whole number (+ or -) divided by another whole number (+ or -, but NOT 0).

• fractions

• decimals that terminate (end)

• decimals that repeat

• whole numbers

​A decimal that goes on forever and NEVER repeats.

Examples:
Π and anything +, - , x, or divided to Π.
Many (NOT all) square roots and cube roots.

.

Dropdown

What kind of number is this?​

Select answer

Dropdown

What kind of number is this? ​ ​

Select answer

​Evaluate Square Roots and Cube Roots

​________ root is the inverse operation to ________ a number (exponent of ____).
Calculator button:


_____ root is the inverse operation to ________ a number (exponent of ____).
Calculator button:
* Click on y and enter _____.

Multiple Choice

Evaluate.

• 1

• -1

• 1, -1

• not possible

Multiple Choice

Evaluate.

• 13

• -13

• 13, -13

• not possible

Multiple Choice

Evaluate

• 3

• -3

• 3,-3

• not possible

​Problem solving with square and cube roots

​Area: This is ALWAYS _________.











The area of the square is 16 m².
What is the side length?

​Volume: This is ALWAYS ___________.
The volume of the cube is 28 m³. What is the side length rounded to nearest tenth?

​Do negative answers make sense in real world square root problems?

​The area of a square garden is 16 square yards. What is the side length?

​The volume of a cube shaped paper weight is 64 cubic inches. What is the side length?

Math Response

A cube has the volume of 22 cubic inches. What is a side length? Round your answer to the nearest hundredth, if necessary.

Type answer here

Correct Answer: 2.80

Deg^°

Rad

Review

Multiple Choice

Order 3π, √ 10 , and 3.25 from greatest to least.

• √ 10, 3π, 3.25
• √ 10, 3.25, 3π
• 3π, 3.25, √ 10
•  3.25, √ 10, 3π

​Law of Exponents - Putting it all Together

Math Response

Evaluate

Type answer here

Correct Answer: 1

Deg^°

Rad

Math Response

Evaluate. Use positive exponents in your answer.

Type answer here

Correct Answer: 8^8

Deg^°

Rad

Multiple Choice

Simplify.

• 8w²x

• w²x/8

• 8/xw²

• w²x/49

​What if the exponents aren't the same?

​*Convert the _________ exponent to be the same as the __________ exponent.
*Add/Subtract.
*Be sure that the answer is in proper scientific notation.

​Practice

Multiple Choice

Subtract and put the answer in proper scientific notation.

• 13.441 x 10⁶

• 1.3441 x 10⁷

• 0.13441 x 10⁵

• 1.3441 x 10⁴

Multiple Choice

Add and put your answer in proper scientific notation.

• 4.8186 x 10⁶

• 4.8186 x 10⁵

• 48.186 x 10⁵

• 48016 x 10⁶