Unit 2 and Unit 8 Review

8th Grade MATH

STAAR REVIEW

Welcome to the show!

Unit 2!

Equations & Inequalities

Keys to Success:

-What is important for me to remember about

Solving Equations?

Write & Solve:

Multiple Choice

Write and solve the equation.

• x = 10
• x = -4

• x = 5
• x = 3

Keys to Success:

Write & Solve:

10 - 7x = 8x + 7

Fill in the Blanks

Solve the equation:

-5x + 6 = 3x - 10

Keys to Success:

Write & Solve:

A red kite is 100 feet off the ground and is
rising at 8 feet per second. A blue kite is
191 feet off the ground and is descending at
5 feet per second. Write an equation to find
how long it will take before they are at the
same height.

Multiple Choice

1. You have $40 in your account and your sister has $70. You are saving $10 per week and your sister is saving $7 per week. Write and solve an equation for how many weeks, w, will you and your sister have the same amount of money saved?

• x = 15

• x = 8

• x = 6

• x = 10

Keys to Success:

-What is important for me to remember about

Writing Inequalities?

Inequality Keyword: ____________________________

Inequality: ________________________________________________

Multiple Choice

In 2017, Selena Gomez had the most followers on Instagram at 124.9 million. She is projected to gain an additional 1.3 million followers per year. At the same time, Taylor Swift has 101.2 million followers on Instagram. She is expected to increase the number of followers by 2 million per year. Write an inequality that can be used to solve x, the number of years it will take for Taylor Swift to have more followers than Selena Gomez.

• 124.9 + 1.3x > 101.2 – 2x

• 124.9 – 1.3x < 101.2 + 2x

• 101.2 + 2x > 124.9 + 1.3x

• 124.9x + 1.3 > 101.2x +2x

Unit 8!

Pythagorean Theorem &

Angles

Let’s remember
what happened

in Unit 8…

Keys to Success:

-Discuss with your group what you

remember about Pythagorean Theorem

Think Task:

Pythagorean Theorem

We can use Pythagorean Theorem to solve for any
of the three sides of a right triangle.

How do we find the side on a right triangle?

Think Task:

Multiple Choice

Find the missing side.

• 18

• 16

• 17

• 19

Multiple Choice

Find the missing side.

• 11

• 12

• 13

• 14

Think Task:

Pythagorean Theorem

We can use Pythagorean
Theorem to solve for any of the
three areas of a right triangle.

How do we find the area of one
of the squares?

Think Task:

Find the area of the shaded region:

Think Task:

Pythagorean Theorem

We can use Pythagorean Theorem to prove if three
sides of a triangle are a right triangle.

How do we prove if three sides of a triangle are a
right triangle?

Think Task:

Do the sides of the triangles form a right triangle?

Let’s remember
what happened

in Unit 2…

Multiple Choice

a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?

• yes 
• no

Keys to Success:

-Discuss with your group what you

remember about Angles

Angles are
the SAME

Congruent

Supplementary

Angles sum
equal 180°

Definition Recap:

Recap:

Ask yourself…

”Are they the same or different?”

Multiple Choice

If angle 1 is 135 degrees, how many degrees is angle 3?

• 45 degrees
• 65 degrees
• 135 degrees
• 225 degrees

Multiple Choice

If angle 6 is 25 degrees, how many degrees is angle 7?

• 25 degrees
• 50 degrees
• 90 degrees
• 155 degrees

Think Task: Can you solve for x?

Multiple Choice

Find <S

• A

• B

• C

• D

Multiple Choice

What is the measure of x?

• 101°

• 111°

• 121°

• 131°

Multiple Choice

7x - 4 = 3 + 8x

• x = 7
• x = -7
• x = 2/7
• x = 11

Multiple Choice

10x + 9 = 4x - 9

• 0
• 3
• -3
• -18

Multiple Choice

Solve for x

• 3

• 7

• -7

• 3/5

Multiple Choice

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

• 15x + 2.5 = 10x + 3

• 15 + 2.5x = 10 + 3x

• 15 - 2.5x = 10

• 15 - 10 = 2.5x + 3x

Multiple Choice

Select the situation that could be modeled by: 120 + 25x = 45x.

• John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?
• George charges a flat fee of $120 to mow a lawn plus $25 an hour. Greg charges $45 a hour to mow a lawn. After how many hours do they make the same amount?
• Lisa pays $120 for each purse she buys plus an additional $25 to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?

Multiple Choice

Renting games online from Netwii costs $3.33 per game  with no monthly fee.  Renting games online from HDO costs $2.00 per game plus a monthly fee of $10.00.
Which inequality represents the situation when the monthly cost at Netwii is more than the monthly cost at HDO?

• 3.33v > 2v + 10
• 3.33v + 10 > 2v 
• 3.33v < 2v + 10
• 3.33v + 10 < 2v

Multiple Choice

The inequality shown below represents fees for two different apartments.

500x + 700 < 650x + 200

Which situation below does this inequality represent?

• Apartment A charges a $700 deposit and then $500 per month. Apartment B is equal to Apartment A charging $650 per month with a $200 deposit.

• Apartment A charges a $700 deposit and then $500 per month. Apartment B is greater than Apartment A charging $650 per month with a $200 deposit.

• Apartment A charges a $700 per month and then $500 deposit. Apartment B is greater than Apartment A charging $650 deposit with $200 per month.

• Apartment A charges a $700 deposit and then $500 per month. Apartment B is less than Apartment A charging $650 per month with a $200 deposit.