Relations & Functions
Write a function rule that represents the relationship between x and f(x)
x = 0, f(x) = 6
x = 3, f(x) = 9
x = 6, f(x) = 12
f(x) = x+6
Write this out in a sentence x ≥ 55
x is greater than or equal to 55
What is the largest ocean on Earth?
Pacific Ocean
Name the numerical coefficient, literal coefficient, and constant in the following equation:
2a + 3c + a + 2c + 20
Numerical coefficient = 2, 3, 2
Literal coefficient = a and c
Constant = 20
I am a right triangle
One leg is 9
My hypotenuse is 15
What is my missing side?
A² + B² = C²
9² + b² = 15²
81 + b² = 225
b² = 144
Take the square root
b = 12
The vertical line test
Determine weather the inequality is a true or false statement given the value of the variable
6 + x > 3, when x = -4
6 + (-4) > 3
2 > 3
False
What is the hardest rock in the world?
Diamond
Simplify the following algebraic expression by combining like terms
2a + 3c + a + 2c + 20
3a + 5c +20
Student A walks at 3mph
Student B walks at 9mph
They both travel for 45 minutes.
How much farther does student B travel?
45 mins = 45/60 = 3/4 hour
3 x 3/4 = 9/4 = 2.25 miles
9 x 3/4 = 27/4 = 6.75 miles
6.75 - 2.25 = 4.5 miles farther
Write the domain and range of each relation and determine if it is a function.
(1,3), (2,7), (3,11), (4,15)
The length of a rectangle is 4 inches greater than its width. Its perimeter is at most 36 inches. What is the width?
Let w = the width of the rectangle in inches
Then w + 4 = the length of the rectangle in inches
2(w + 4 + w)
2(2w + 4) = 36
4w +8 =36
Subtract 8 from both sides
4w = 28
Divide both sides by 4
w = 7
What gas do plants take in from the air during photosynthesis?
Carbon dioxide
A group of 25 students wants to collect 300 blankets to donate to a local charity. If each student collects 7 blankets on the first day of the donation drive, how many more blankets will each student need to collect to reach the intended goal?
Write the multistep equation and solve.
Let b = the number of blankets each student will need to collect
25(7 + b) = 300
175 + 25b = 300
Subtract 175 from both sides
25b = 125
Divide both sides by 25
b = 5
Find the next number in the pattern
3, 7, 15, 31...
The increase is doubling
31+32=
63
Write a function rule that represents the relationship between f and f(x)
x = -2, f(x) = -7
x = 0, f(x) = -1
x = 2, f(x) = 5
f(x) = 3x -1
Tell whether the sentences id true or false for the given value of the variable
6h - 9 < 15, when h =4
In the movie, Home Alone, which kid is forgotten?
Kevin
Simplify the following expression by combining like terms
4x² + 3y - 2x² + 5x - y +7, when x=2 and y=-1
2x² + 5x + 2y + 7
I am a number
When you multiply me by 3 and add 4 you get 25
I am greater than 5
I am less than 10
What number am I?
3x+4=25
3x=21
x=7
The cost of a speeding ticket is a function of each mile per hour that exceeds the speed limit multiplied by a fixed rate of $2.00, plus a $40 processing fee. Write the function that represents this relationship. Then determine the cost of a speeding ticket for a car that has gone 50mph in a 25 mph zone.
Let c = cost of speeding ticket
f(c) = c($2) + $40
50mph - 35mph zone = 15
f(15) = 15($2) + 40 =
$30 + $40 = $70
The price of the speeding ticket is $70.
The cost of Seth's game, plus $1.50 tax, was less than $28. Write an inequality to represent the situation.
Let c = the cost of the game
c + $1.50 < $28.00
How many eyelids does a camel have on each eye?
Three
Explain why 5a²b and 2ab² are not like terms.
Although the terms have the same variables, the powers to which the variables are raised are not the same, so they are not like terms.
A pirate leaves a note,
"Double my treasure, subtract 6 gold coins, and you'll have 40 coins."
How many gold coins did the pirate start with?
Let x = number of coins
2x - 6 = 40
2x = 46
x = 23