7-2 HG Live

Ratios & Proportions Review

Have your 7-1 Notes ready

Let's Practice Factoring!!

Multiple Choice

Q1: Factor:

56a³-8a

• 8a²(56a³-8a)

• 8a(7a²-1)

• 8a(7a³-a)

• 8a²(35a²-a)

Q1: Factor:  $56a^3-8a$  

• Look for a GCF:  $8a$  

• Divide both terms by  $8a$  :

•  $\frac{56a^3}{8a}-\frac{8a}{8a}$  

• Correct Answer:  $8a(7a^2-1)$  

Multiple Choice

Q2: Factor

x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)

Q2:  Factor:   $x^2+9x-36$  

• Factors of  $-36$  with a sum of  $9$  

•  $-12+3=-9$  

•  $12-3=9$  

•  $\left(x+12\right)\left(x-3\right)$  

Multiple Choice

Q3: Factor

3a² + 4a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)

Q3:  Factor:   $3a^2+4a+1$  

• Use Slip & Slide method

• Slip:  a times c

• Factor

• Divide

• Simplify & Slide

•  $(3a+1)(a+1)$  

Multiple Choice

Q4: Factor

9x²-6x-8

• (3x+2)(3x-4)

• (3x+2)(3x+4)

• (3x-2)(3x-4)

• (x-1)(9x+8)

Q4:  Factor:   $9x^2-6x-8$  

• Use Slip & Slide method

• Slip:  a times c

• Factor

• Divide

• Simplify & Slide

•  $(3x+2)(3x-4)$  

Extended Ratios

Fill in the Blank

Q5: A triangle’s angle measures are in the extended ratio of 3 : 4 : 11. Find the measures of the smallest angle.

Fill in the Blank

Q6: The ratio of the sides of a triangle is 2 : 4 : 9. If the perimeter of the triangle is 90 feet, find the longest side.

Fill in the Blank

Q7: The interior angles of a quadrilateral have a ratio of 2:4:6:3. What is the measure of the largest angle?

Solving Proportions

Multiple Select

Q8: x has two possible values, they are...

• x = -3

• x = 3.5

• x = -3.5

• x = 3

 $\frac{2x+3}{3}=\frac{6}{x-1}$  

•  $\left(2x+3\right)\left(x-1\right)=18$   to   $2x^2+x-3=18$  

• Slip & Slide:   $2x^2+x-21=0$  

•  

•  

•   $\left(x-3\right)\left(2x+7\right)=0$  

•  $x-3=0\ \ \ \ \ \ and\ \ \ \ \ \ 2x+7=0$  

•  $x=3\ \ \ \ \ \ \ \ and\ \ \ \ \ \ \ \ \ x=-\frac{7}{2}$  

Now you are ready for

7-2: Similar Polygons!

Remember to submit your notes to the video assignment.