Math 8 Review

Math 8 Review

How to use this Quizziz Lesson

Each Unit will have a slide or slides that reviews key ideas.

Use the slide, your notebook, and others to help you complete the questions.

Then there will be questions about this unit on the paper.

After you finish all questions, THEN enter your answers on quizizz.

YOU MUST SHOW WORK OR IT WILL NOT BE ACCEPTED.

Unit 1: Congruency

The BIG IDEA: Sliding, flipping, or turning a shape doesn’t change the side
lengths or angles sizes of the shape. This is called CONGRUENCE.

Unit 1 introduced Translations, Reflections, and Rotations.

Click through the next few slides to see what each one looks like.

Translations make congruent figures

Triangle ABC
Moved

7 units right

Triangle A’B’C’

“A Prime, B Prime, C

Prime”

Pre-Image

Translation

After

Before

Image

Reflections make congruent figures

Triangle ABC

Flipped Across the

y-axis

Triangle A’B’C’

“A Prime, B Prime, C

Prime”

Pre-Image

Reflection

After

Before

Image

WHat is a rotation?

RotationS make congruent figures

Triangle ABC

90 degree rotation
Counter- Clockwise

Triangle A’B’C’

“A Prime, B Prime, C

Prime”

Pre-Image

Rotation

After

Before

Image

We also learned that 8 angles were formed using two
parallel lines and a transversal.

Some of the Angles were CONGRUENT.

Corresponding Angles (Different Lines, Same
Position) are CONGRUENT using a translation

Watch each animation and notice which angles
are the same.

Angle Pairs Created By Parallel Lines and Transversals

Alternate Interior Angles are CONGRUENT using a ROTATION.

Watch the animation to see which angles are the same

​Congruent means same measure. So if on yellow angle is 120 degrees, all of them are 120 degrees.

Some of the angles were supplementary (add up to 180)

STOP

Complete the questions on your paper.

You can go back and look at the slides for help but once you go past this slide you
won’t be able to go back.

Multiple Choice

Are the figures congruent? Explain.

• Congruent by rotation.

• Congruent by dilation.

• Not congruent, sizes are different.

• Congruent by reflection.

Multiple Choice

What it the measurement for angle 12?

• 140^o

• 180^o

• 40^o

• 160^o

Multiple Choice

What it the measurement for angle 1?

• 140^o

• 180^o

• 40^o

• 160^o

Multiple Choice

What is the measure of ∠2?

• $$58^o$$  

  Vertical angles

• $$122^o$$  supplementary

• $$58^o$$

   Alternate Interior

• $$122^o$$  

  Alternate exterior

Multiple Choice

Rectangle $$ABCD$$   is rotated by 90 degrees counterclockwise about the origin and then translated 3 units left and 2 units down to form rectangle $$A'B'C'D'$$ . What is length of segment $$A'B'$$  in the resulting figure?

• 10

• 3

• 5

• 6

Multiple Choice

True of False? Triangle ABC is reflected across the x-axis, followed by a reflection across the y-axis.

• True

• False

Multiple Choice

True or False? Triangle ABC is reflected across the y-axis, followed by a translation 6 units down.

• True

• False

Multiple Choice

How does $$m\angle1$$  compare to $$m\angle6$$  ?

Greater Than / Less Than / Equal

• $$m\angle1<m\angle6$$  

• $$m\angle1>m\angle6$$  

• $$m\angle1=m\angle6$$  

Unit 2: Similarity and Slope

The BIG IDEA: For Unit 2 is that multiplying a side by a scale factor changes the
sides lengths by NOT the angles. This creates SIMILAR FIGURES. Similar
triangles are what we can use to determine the SLOPE (steepness) of a line.

Unit 2 introduced Dilations, Similar Figures, and Slope.

Click through the next few slides to see what each one looks like.

Vocabulary

Shape A

Dilation of a scale

factor of 3

Shape A’

Pre-Image

Dilation

After

Before

Image

Center of Dilation

Scale Factor

SF greater than 1
SF = 1

Original shape

SF LESS THAN 1

The ratio of the new shape’s size to the old shape’s size.

Represented by the letter k.

Scale Factor

SF greater than 1
SF = 1

Original shape

SF LESS THAN 1

The ratio of the new shape’s size to the old shape’s size.

Represented by the letter k.

ENlargement

Reduction

K = ( 4 / 2) = 2

K = ( 2 / 2) = 1

No change

K = (1 / 2) = 0.5 or ½

Dilations Create SIMILAR figures.

Similar figures have the same angles..

Triangle NLM and RPQ are SIMILAR (NLM~RPQ)

Similar Figures have sides that are proportional
(form equal ratios)

You can create similar figures by multiplying by a scale
factor.

Scale Factor is 1.5 (A to B)

or

Scale Factor is ⅔ (B to A)

Here are different slopes. Watch the gif!

STOP

Complete the questions on your paper.

You can go back and look at the slides for help but once you go past this slide you
won’t be able to go back.

Multiple Choice

Find the slope.

• $$\frac{100}{2}$$  

• $$\frac{50}{2}$$  

• $$\frac{50}{1}$$  

• $$\frac{25}{1}$$  

Multiple Choice

Write the correct interpretation of the slope: Tim is travelling ______ mile() in _____ hour(s).

• Tim travels 50 miles in 1 hour. 

• Tim travels 1 mile in 50 hours.

Multiple Choice

Enlargement or reduction?  Find the scale factor!

• It's a reduction; the scale factor is 2.

• It's an enlargement; the scale factor is 2.

• It's an enlargement; the scale factor is 1/2.

• It's a reduction; the scale factor is 1/2.

Multiple Choice

Polygon ABCDE will be dilated by a scale factor of 2.   Will the images be congruent or similar?

• Congruent

• Similar

Multiple Choice

If two figures are similar, the corresponding angles are...

• Congruent

• Supplementary

• Proportional

• Different

Multiple Choice

The two triangles are similar. Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Unit 3: Proportional & Linear Relationships

The BIG IDEA: Slope creates a relationship between x and y. If x gets ONLY
multiplied by the slope to become y then it is a proportional relationship. If it
gets multiplied by the slope and then something is added or subtracted, then it is a
LINEAR RELATIONSHIP.

Unit 2 introduced Tables, Graphs, Equations and Slope-Intercept Form,

Click through the next few slides to see what each one looks like.

STOP

Complete the UNIT 3 questions on your paper.

You can go back and look at the slides for help but once you go past this slide you
won’t be able to go back.

Multiple Choice

Find the missing values.

• 20 ; 4

• 15 ; 5

• 4 ; 20

• 20

Multiple Choice

• $$\frac{1}{2}$$  

• $$y=2x$$  

• $$y=\frac{1}{2}x$$  

• $$y=\frac{5}{10}x$$  

Multiple Choice

An online clothing company sells custom sweatshirts. The company charges $4.99 for shipping plus $6.50 for each sweatshirt. Which Equation describes this situation?

• y = $4.99x +$6.50

• y = $6.50x - $4.99

• y = $6.50x + 4.99

• y = $4.99x - $6.50

Multiple Choice

How would you write the equation with a slope of 2/3 and a y-intercept of -3

• y=3/2x+3

• y=2/3-3

• y=2/3x-3

• y=2/3x+3

Multiple Choice

• A. The cost per child is $2.50 more at Mr. Bob's than Pizza Safari.

• B. The cost per child is $5 more at Mr. Bob's than Pizza Safari.

• C. The cost per child is $10 more at Mr. Bob's than Pizza Safari.

• D. The cost per child is $15 more at Mr. Bob's than Pizza Safari.

Multiple Choice

• 1, 3, 5

• 4, 5

• 2, 4, 5, 6

• 1, 3

Unit 4: Linear Equations & Systems of Equations

The BIG IDEA: Linear equations help us model real world situations where we
have an unknown value. This is called SOLVING EQUATIONS. When there is
more than one unknown we need two equations for the situation, this is called a
SYSTEM OF EQUATIONS.

Unit 4 introduced solving equations with variables on both sides, solution types,
systems of equations, solving by graphing and solving by substitution.

Click through the next few slides to see what each one looks like.

Solving Equations with Variables on Both Sides

Subtract 3x from both
sides so that all the x
values are on the left.

When you have two
Y = equations

When you only have one
y= or x= equation:

Setting up a system of equations

STOP

Complete the UNIT 4 questions on your paper.

You can go back and look at the slides for help but once you go past this slide you
won’t be able to go back.

Multiple Choice

Is this one solution (4,7), no solution, infinite solutions?

• The solution is x=0.

• The solution is the ordered pair (4,7).

• There is no solution since 4=7 is a false statement.

• There are infinitely many solutions since 4=7 is a false statement.

Multiple Choice

Solve for x: 3(x-4) = -3

• 3

• -3

• 5

• -5

Multiple Choice

Solve for t : 2(2t - 3) = 6(t + 2)

• t = 9

• t = 4

• t = -9

• t = -3

Multiple Choice

Solve for c: 2c - 12 = 9c + 2

• 14

• 2

• -2

Multiple Choice

Solve for x: -38 + 6x = 52 + 3x

• 20

• 30

• 40

• 10

Multiple Choice

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Multiple Choice

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

Multiple Choice

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

Multiple Choice

• 6

• 9

• 17

• 18

Multiple Choice

Find the total number of adult tickets and the total number of child tickets she buys.

• 10 adult ; 4 child

• 4 adult ; 5 child

• 6 adult ; 8 child

• 8 adult ; 6 child

Unit 5: Functions & Volume

The BIG IDEA: A rule that takes an input (x) and creates a single output (y) is
called a FUNCTION. Functions can be represented as tables, graphs, equations,
and stories. Functions can also be used in geometry called FORMULAS.

Unit 5 introduced functions and the volume formula for cylinders, cones, and
spheres.

Click through the next few slides to see what each one looks like.

STOP

Complete the UNIT 5 questions on your paper.

You can go back and look at the slides for help but once you go past this slide you
won’t be able to go back.

Multiple Choice

Parker's distance from home is increasing between minute 1 and minute 4. True or False?

• True

• False

Multiple Choice

Parker's distance from home is increasing between minute 12 and minute 14. True or False?

• True

• False

Multiple Choice

Parker's distance from home is constant between minute 6 and minute 7. True or False?

• True

• False

Multiple Choice

• 9

• 28.27

• 141.37

• 706.86

Multiple Choice

What is the definition of function?

• Has inputs and outputs

• Every input has only ONE output

• Inputs have different outputs every time

• x-values and y-values

Multiple Choice

Function or not a function?

• Function

• Not a Function

Multiple Choice

Does the table represent a function?

• Yes, there  is a repeated x-value. 

• No, there aren't any repeated y-values. 

• Yes, there are repeated y-values. 

• No, there is a repeated x-value. 

Multiple Choice

Find the volume in terms of pi.

• $$10\pi$$  cu. inches

• $$25\pi$$  cu. inches

• $$50\pi$$  cu. inches

• $$7\pi$$  cu. inches

Multiple Choice

What is the volume of the sphere, expressed in terms of pi?

$$V=\frac{4}{3}\pi r^3$$  

• $$81\pi\ in^3$$

• $$729\pi\ in^3$$

• $$972\pi\ in^3$$

• $$36\pi\ in^3$$

Multiple Choice

What is the volume of the cone expressed in terms of pi?

$$V=\frac{1}{3}\pi r^2h$$  

• $$144\pi\ in^3$$

• $$24\pi\ in^3$$

• $$48\pi\ in^3$$

• $$36\pi\ in^3$$

Unit 7: Exponents

The BIG IDEA: An Exponent is an expression for repeated multiplication.
Exponents help us write very large or small numbers using Scientific Notation.

Unit 7 introduced exponents, expanded form, exponent rules, scientific notation
and standard notation.

Click through the next few slides to see what each one looks like.

STOP

Complete the UNIT 7 questions on your paper.

You can go back and look at the slides for help but once you go past this slide you
won’t be able to go back.

Multiple Choice

• 8

• 14

• 33

• 3.667

Multiple Choice

Martha made a mistake. In what step did Martha make a mistake and what is the correct expression for that step?

Multiple Choice

True or false.

• True

• False

Multiple Choice

True or false.

• True

• False

Multiple Choice

How would you write 0.0005 in scientific notation?

• 50 x 10^-5

• 5 x 10^-4

• 5 x 10³

• .5 x 10³

Unit 8: Square Roots & Pythagorean Theorem

The BIG IDEA: An Square root helps ups find the side of a square with a specific area. It is the
opposite of squaring a number. These can be perfect squares numbers that give us RATIONAL
NUMBER answers or non-perfect square numbers that give us IRRATIONAL NUMBERS. The
PYTHAGOREAN THEOREM uses square roots to find the sides of a right triangle.

Unit 8 introduced square roots, perfect squares, non perfect squares, perfect cubes square roots,
cube roots, rational numbers, irrational numbers, and Pythagorean Theorem.

Click through the next few slides to see what each one looks like.

STOP

Complete the UNIT 8 questions on your paper.

You can go back and look at the slides for help but once you go past this slide you
won’t be able to go back.

Multiple Choice

True or False

• True

• False

• Yes

• Maybe

Multiple Choice

True or False

• True

• False

• Yes

• Possibly

Multiple Choice

Rational or Irrational

• Rational

• Irrational

Multiple Choice

• 46

• 50

• 52

• 53

Multiple Choice

Find the length of the missing side.

• 17 cm

• 22 cm

• 15 cm

• 13 cm

Multiple Choice

A 10-foot ladder is leaning against the wall.  The bottom of the ladder is 4 feet from the base of the wall.  Which of the following is closest to the distance from the top of the ladder to the base of the wall?

• 9ft

• 11ft

• 6ft

• 14ft