COAL Friday Review 10/30

COAL Friday Review 10/30

Equations Review

Watch the following videos to review solving equations.

Multiple Choice

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
5x + 6 = 2 + 3x

• one
• no solutions
• infinite solutions

Multiple Choice

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 7 = 3(x - 3) + 2

• one

• no solutions

• infinite solutions

Multiple Choice

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 8 = 3(x - 4) + 1

• one

• no solutions

• infinite solutions

Multiple Choice

Solve:

3x + 15 = 3(x + 5)

• No Solution

• x = 15

• Infinitely Many Solutions

Multiple Choice

Solve:

2x + 1 = 2x - 1

• No Solution

• x = 0

• Infinitely Many Solutions

Multiple Choice

What is the definition of infinite solutions?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true
• no matter what constant is substituted in for the variable, the equation will NEVER be true
• only this ONE solution will make the equation true

Multiple Choice

What is the definition of no solution?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true
• no matter what constant is substituted in for the variable, the equation will NEVER be true
• only this ONE solution will make the equation true

Multiple Choice

What is the definition of one solution?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true
• no matter what constant is substituted in for the variable, the equation will NEVER be true
• only this ONE solution will make the equation true

Multiple Choice

The goal of solving a one, two, or multi-step equations is to:

• Find the constant

• Find the coefficient

• Find the value of the variable

• Be confused

Multiple Choice

Solve for x

8x - 8 = -4x + 16

• 8

• 16

• 24

• 2

Multiple Choice

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

• Subtracted 2x from both sides of the equation

• Subtracted 9 from both sides of the equation

• Multiplied both sides of the equation by 3

• Added -3 to both sides of the equation

Multiple Choice

What is the next step you should take?

-11x = -11

• add 11 to both sides

• subtract 11 from both sides

• divide both sides by 11

• divide both sides by -11

Multiple Choice

What is the first step you should take to solve this problem?

-3(x - 2) = -8 +9b

• add 8 to both sides

• subtract 9b from both sides

• Distribute -3 to the x and -2

Multiple Choice

What is the next step you should take?

1 + 18n = 33

• subtract 1 to both sides

• collect the numbers to the right

• add 1 to both sides

• multiply 18 to both sides

Multiple Choice

What is the first step to solve this equation:

11 - 3x = 44

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

Multiple Choice

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

Multiple Choice

Solve the equation:

4x - 5x + 9 = 5x - 9

• x = -3

• x = 9

• x = 3

• x = -9

Multiple Choice

Solve:

2(4x-3) - 8 = 4 + 2x

• x = 5/3

• x = 3

• x = 1

• x = 2

Multiple Choice

Solve:

7w + 5 = 3w - 15

• 5

• -2

• 2

• -5

Multiple Choice

Solve:

10x + 9 = 4x - 9

• 0

• 3

• -3

• -18

Linear and Exponential Expressions Review

Lets review our current unit: Linear and Exponential Expressions

Multiple Choice

What type of function describes the story below?

You have $10 and earn $5 every week.

• Linear

• Exponential

• Neither

Multiple Choice

What type of function describes the story below?

You have $5 and triple your money every day.

• Linear

• Exponential

• Neither

Multiple Choice

Is this equation linear or exponential?

• Linear

• Exponential

Multiple Choice

Is this equation linear or exponential?

• Linear

• Exponential

Multiple Choice

Is the equation linear or exponential?

• Linear

• Exponential

Multiple Choice

Is the equation linear or exponential?

• Linear

• Exponential

Multiple Choice

Is this graph linear or exponential?

• Linear

• Exponential

• Neither

Multiple Choice

Is this graph linear or exponential?

• Linear

• Exponential

• Neither

Multiple Choice

A(n) _________________ function will MULTIPLY the same number each time.

• Linear

• Exponential

• Neither

Multiple Choice

A(n) _________________ function will ADD the same number each time.

• Linear

• Exponential

• Neither

Multiple Choice

Which expression shows the number of bottles left after x days?

A family buys a case of water with 48 bottles and drinks 5 bottles per day.

• 48x + 5

• -5 + 48x

• -5x - 48

• 48 - 5x

Multiple Choice

Jerry has $20 and makes $7 per hour. Which expression represents the total amount of money Jerry has after working x hours?

• 7x + 20

• 7 + 20x

• 20 + 7

Multiple Choice

If I join the gym for a start up fee of $40 and monthly fee of $10, what expression models this?

• 10x - 40

• 40x + 10

• 10x + 40

• 40x - 10

Multiple Choice

The population of Boringtown decreased annually by 1.8% between the year 2015-2018. In 2015, there were approximately 200,000 people living in Boringtown. Which function models the city's population since 2015?

• 200,000(1 + 0.018)³

• 200,000(1 - 0.18)³

• 200,000(1 + 0.18)³

• 200,000(1 - 0.018)³

Multiple Choice

Does the following equation show growth or decay?

y=10,000*(0.76)^x

• Growth

• Decay

Multiple Choice

Does the following equation show growth or decay?

y=10,000*1.26^x

• Growth

• Decay

Multiple Choice

Does the following equation show growth or decay?

y=10,000*1.26^x

• Growth

• Decay

Multiple Choice

Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the expression 8x+15

How much would 50 shirts cost?

• 40

• 400

• 415

• 65

• 390

Multiple Choice

You bought a brand new car for $45,000. The car depreciates at approximately 7% per year. How much will the car be worth after 8 years? Round to the nearest whole dollar.

• $77,318

• $25,181

• $41,850

• The value won't change at all.

Multiple Choice

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9765

• 9006

• 5433

• 9766

Multiple Choice

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

• $344,022

• $31,500

• $15,000

• $28,500

Multiple Choice

3r + 2e; r = 3  e = 2

• 15
• 13
• 54
• 12