Desmos Wins 1/23 and 1/24

Using Desmos to Win
1/23 and 1/24

Multiple Choice

There is no graph. But there is an equal sign.

Go to desmos.com

Graph the equation.

Then do our steps.

• A

• B

• C

• D

Multiple Choice

What is the range?

• All real numbers greater than or equal to 2 less than or equal to 4

• All real numbers greater than or equal to 10 less than or equal to 70

• All real numbers greater than to 2 less than 4

• All real numbers greater than to 10 less than 70

• All real numbers greater than to 2 less than 70

Evaluating Functions

Just Use Desmos

​Steps

1. Type the equation into line 1 of desmos

2. Type the question into line 2 of desmos

Given f(x)=11.5x+23, what is the value of f(14)?

Math Response

g(x) = 5 - 6x
Find g(-5)

Type answer here

Correct Answer: 35

Deg^°

Rad

Math Response

A function is shown.

$$g\left(x\right)=6\left(2x+7\right)$$

What is the value of g(20)?

Type answer here

Correct Answer: 282

Deg^°

Rad

Multiple Choice

f(x)=4x+5
f(4)=

• 21
• -11
• -31
• 25

Multiple Choice

Evaluate f(x) = x² for f(-8)

• 64
• -64
• -16
• 16

Solving for X

Just Use Desmos

Math Response

What value of m makes the equation true?

$$\frac{2}{3}\left(m-9\right)=\frac{1}{3}\left(m-27\right)$$

Type answer here

Correct Answer: -9

Deg^°

Rad

Multiple Choice

Solve the equation: 6x - 3 = 5x + 9

• x = 10

• x = 12

• x = 8

• x = 15

Multiple Choice

What is the solution to 4a - 7 = 5a + 3?

• a = -3

• a = 2

• a = 5

• a = -10

Adding & Subtracting

Just Use Desmos

1. Change all letters to X

2. Type the expression from the question into line 1

3. Type the answer choices into lines 2, 3, and 4.

4. Your answer is the graph that matches line 1.

​Which expression is equivalent to (5rt - 3rw - 8tw) + (6rt - 4rw + 2tw)?

A 11rt + rw - 10tw

B 11rt - 7rw - 6tw

C 11rt + rw - 6tw

D 11rt - 7rw - 10tw

Multiple Choice

Simplify the expression.

(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

• 11a³ - 4a² - 14a - 7

• 5a³ - 4a² - 14a - 7

• 5a³ - 4a² - 20a - 7

• 5a³ - 9a² - 20a - 7

Multiple Choice

Subtract: (2a² + 5a + 3) -(a² - 3a - 4)

• 3a² + 2a - 1
• a² + 8a + 7
• 3a² + 8a + 7
• a² + 2a - 1

Multiplying

Just Use Desmos

1. Change all letters to X

2. Type the expression from the question into line 1

3. Type the answer choices into lines 2, 3, and 4.

4. Your answer is the graph that matches line 1.

Multiple Choice

Multiply the binomials

(2x - 1)(x + 2)

• 2x² + 3x - 2
• 2x² - 5x - 2
• 2x² + 3x + 2
• 2x² - 5x + 2

Multiple Choice

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

• $$17a-10$$

• $$6a^2-10$$

• $$6a^2+11a-10$$

• $$6a^2+19a+10$$

Multiple Choice

Which expression is equivalent to $$24gh-12g^2+18g$$

• $$6g\left(4h-12g+18\right)$$

• $$12g\left(2h-12g+18\right)$$

• $$6g\left(4h-2g+3\right)$$

• $$12g\left(2h-g+3\right)$$

Multiple Select

Which expressions are equivalent to $$12x^2-48x+48$$

SELECT TWO CORRECT ANSWERS

• $$12\left(x-2\right)^2$$

• $$-12\left(x^2+4x+4\right)$$

• $$12\left(x-4\right)\left(x-1\right)$$

• $$-12\left(x+2\right)^2$$

• $$12\left(x^2-4x+4\right)$$

Multiple Choice

Which expression is equivalent to $$36m^2-100$$

• $$\left(9m-20\right)\left(4m+5\right)$$

• $$4\left(3m-5\right)\left(3m+5\right)$$

• $$2\left(2m-5\right)\left(9m+10\right)$$

• $$4\left(3m-5\right)^2$$