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Unit 4A Study Guide (DUE 1/22)

Last updated about 1 year ago
12 questions
1

Convert the equation into slope intercept form:

y + 3 = -2(x – 2)

1

Convert the equation into slope intercept form:

15x+3y=-60

1
Use the graph, table, and equation below to answer each question. Three friends are comparing how much money (y) they have in their bank accounts after one week (X value in days).

The equation y+30 = 14(x+3) represents Ethan's savings in a week.

The table represents Sam's savings in a week

The graph represents Abby's savings in a week
Which friend started with the least amount of savings? _______
Who is saving the least amount of money per day? _______
Who will have the most money on Day 7? _______
1
Use the table and equation below to answer each question. Joey Chestnut and Badlands Booker are competing at the annual Nathan's Hot Dog Eating Contest. The equation that represents Joey's weight is y-305=0.5(x-300). Where y represents Joey's total weight and x represents the amount of hot dogs he eats at the contest. The table below represents Badland Booker's weight where x represents the number of hotdogs and y represents his total weight

Badland Booker's Weight is represented in the table below:

Write an expression that represents Joey's weight in slope intercept form. _______
Who was heavier at the beginning of the contest? (type in the full name!) _______
Who is gaining weight at a faster rate? _______
1
Consider the following equation:
7x+6y-3x-y=20

Find the slope for this equation. _______
Identify the y-intercept for this equation. Write as an ordered pair. _______
Identify the x-intercept for this equation. Write as an ordered pair._______
1

Match the scenarios with the correct equation that you would use to solve.

  • Tom is starting a lawn care business where he charges an hourly rate of $40 and a flat base fee of $50
  • Jerry needs calculators and rulers for his math class room. Calculators are $10 and Rulers are $1 dollar. He has $100 to spend.
  • Bob is a mechanic that charges $50 per hour. After 4 hours, he makes $300 .
  • A tank is draining at 4 gallons per minute. After 6 minutes, the tank had 40 gallons left in it
  • A submarine has an elevation of 900 feet below the sea level. It ascends at a rate of 50 feet per minute.
  • Sara wants to go shopping for clothes. Shorts cost $15 each and shirts cost $20 each. She has $75 to spend
  • Point Slope Form
  • Slope Intercept Form
  • Standard Form
1
Jayden was given $360 for Christmas. He wants to spend all of his money on video games that cost $30 each or on Nike shirts that cost $40 each. Let x represent the number of games and y represent the number of shirts.

What is the equation written in Standard Form?_______
What is the X-intercept written as an ordered pair?_______
What is the Y-intercept written as an ordered pair?_______
Please graph the x and y-intercepts on the graph in the show your work section! This will help you answer #8!
1
Jayden was given $360 for Christmas. He wants to spend all of his money on video games that cost $30 each or on Nike shirts that cost $40 each. Let x represent the number of games and y represent the number of shirts.

What is the Domain in interval notation?_______
What is the Range written in interval notation?_______
1
A balloon is descending at 1.5 feet per minute. After 3 hours, the balloon is 9 feet above the ground.
What is the equation written in point-slope form?_______
What is the y-intercept as an ordered pair?_______
What is the x-intercept as an ordered pair?_______
1

From the previous problem, which of the following represents what the x-intercept means in context?

1

What is the Domain written in interval notation?_______
What is the Range written in interval notation?_______
1

Which graph represents the linear function -8x + 4y = -16?