Category 1 Tutorials 2023**

DESMO

https://www.desmos.com/testing/texas/graphing

Multiple Choice

• A

• B

• C

• D

What does Equivalent mean?

MATCH MATCH DESMOS!

Multiple Choice

Which expression is equivalent to $$2x^2+7x-15$$  

• $$(2x+3)(x-5)$$  

• $$(2x+3)(x+5)$$  

• $$(2x-3)(x-5)$$  

• None of these

Multiple Choice

Which of the following is equivalent to $$6v(2v+3)$$ ?

• $$12v+18$$

• $$15v^2+8v$$

• $$12v^2+18v$$

• $$12v^2+18v^2$$

Multiple Choice

Which of the following is equivalent to 
$$\sqrt{98}$$  ?

• $$2\sqrt{7}$$  

• $$7\sqrt{2}$$  

• $$14\sqrt{2}$$  

• $$49\sqrt{2}$$  

Multiple Choice

Which of the following is equivalent to

$$\frac{-48c^2d^4}{-8cd}$$

• -6cd

• -6cd³

• 6cd³

• 6c³d⁵

Multiple Choice

Which expression is equivalent to $$10x^2-\left(2-3x\right)+\left(5x-3x^2\right)$$  

• $$13x^2+2x-2$$  

• $$7x^2+2x-2$$  

• $$7x^2+8x-2$$  

• $$13x^2-8x-2$$  

Multiple Choice

Which of the following is equivalent to (3x³y) (2x⁸y⁵) ?

• 5x¹¹y⁶

• 6x¹¹y⁶

• 6x²⁴y⁵

• 3x¹¹2y⁵

Multiple Choice

Which expression is equivalent to $$5c\left(\frac{2}{5}d-4\right)-3\left(c+2\right)+d\left(c+5\right)$$  

• $$3cd-17c+5d-6$$

• $$2cd-23c+5d-6$$  

• $$2cd-17c+5d-6$$  

• $$3cd-23c+5d-6$$

Poll

How do you feel about equivalent questions?

• I'm a rockstar

• I need more help

What does COMBINE mean?

Step 1: Put a + sign between expressions

Step 2: MATCH MATCH DESMOS!

Multiple Choice

Fred and Alvin are planning to buy an appliance in a store. Their plan is to combine their money to purchase the appliance. These polynomials represent each money they have. Which expression represents the combined money of Fred and Alvin?

Multiple Choice

How do I find area?

Step 1: (width)(length)

Step 2: MATCH MATCH DESMOS!

Multiple Choice

Multiple Choice

Which expression represents the area of the garden in square feet?

• $$42x^2+39x-9$$

• $$42x^2-3x-9$$  

• $$26x^2-9$$  

• $$13x^2-9$$  

​How do I evaluate functions?

Step 1: Plug equation into desmos

Step 2: Go look at the table

Multiple Choice

Given $$f\left(x\right)=\frac{1}{3}\left(4-x\right)^2$$ , what is the value of $$f\left(16\right)$$ ?

• 48

• 24

• 64

• 14

Multiple Choice

Given $$f\left(x\right)=6\left(1-x\right)$$ , what is the value of $$f\left(-8\right)$$ ?

• 54

• -42

• 15

• -1

Fill in the Blank

Given $$f\left(x\right)=8\left(3-x\right)$$ , what is the value of $$f\left(-1\right)$$ ?

Poll

How do you feel about evaluating functions?

• I'm a rockstar

• I need more help

How do I solve equations?

Step 1: Plug first half of equation into the first spot on desmos

Step 2: Plug second half of equation into the second spot on desmos

Step 3: Look for the intersection!

Which expression is equivalent to

3x² - (5x - 6x²) = 10 - (2x + 3) ?

Multiple Choice

Which of the following makes the equation true?

$$2(3x+4)+2=4+3x$$

• $$2$$

• $$-\frac{2}{3}$$

• $$10$$

• $$-2$$

Multiple Choice

What value of x satisfies the equation?

5x - 14 = 8x + 4

• x = 6

• x = -6

• x = -18/13

• x = 10/3

Fill in the Blank

What value of m satisfies the equation $$6\left(4m-3\right)+6=4\left(4m+11\right)$$ ?

Poll

How do you feel about solving equations in desmos?

• I'm a rockstar

• I need more help

How do I find the equation for a pattern?

Step 1: Put the equations (probably answer choices) into Desmos!

Step 2: Go look at the table

Multiple Choice

What equation can be used to find the n^th term in the sequence

5, 8, 11, 14, 17, 20, 23

• a_n = n + 3

• a_n = 2n + 3

• a_n = 3n - 1

• a_n = 3n + 2

Multiple Choice

What equation can be used to find the n^th term in the sequence

3, 13, 23, 33, 43

• a_n = n + 10

• a_n = 5n - 2

• a_n = 10n - 7

• a_n = 3n

Multiple Choice

• A

• B

• C

• D

Poll

How do I feel about pattern questions?

• I'm a rockstar

• I need more help

How do I find the factors?

Step 1: Put the equations into desmos

Step 2: Then try each factor

You are looking for them to have the same x-intercept

Multiple Choice

Which expression is a factor of $$x^2-5x-6$$ ?

• $$x-6$$

• $$x-2$$

• $$x-3$$

• $$x-1$$

Multiple Choice

What expression is a factor of $$16m^2-81$$ ?

• 2m-9

• 16m+9

• 8m-9

• 4m+9

Multiple Choice

What expression is a factor of $$-6x^2-19x+20$$ ?

• 3x-5

• 6x-5

• x-5

• 2x-5

Poll

How do I feel about the review today?

• I'm a rockstar

• I need more help