Topic 1: Create & Analyze Math Representations
Topic 2: Solve Equations and Inequalities
Topic 3: Functions
Topic 4: INTRO to Linear Functions
Topic 5: MORE Linear Functions
100
The diver reaches their maximum height after _____ seconds.
It took 1 second for the diver to reach their maximum height.
100
h/-2<30
Solve and graph
h> -60
100
Which math representations are functions?
Only math representation A is a function. B & C are NOT functions.
100
Identify the rate of change given the table of values.
(60 mi)/(3 gal)=(20mi)/(1gal)
The car averages 20 miles per gallon.
100
What is the slope of a line parallel to
y=-2x+6
The slope of a line parallel would be -2.
200
What is the independent variable?
Time (seconds) because it is on the x-axis
200
Solve
57=3(2p+5)
p=7
200
If g(x)=4x-5 , evaluate
g(-2)
g(-2)=-13
200
A water tank contains 1200 gallons of water when Baxter begins to drain it. Water flows out of the tank at a rate of 15 gallons per minute. Write a linear equation to model this situation.
y=1200-15x
OR
y=-15x+1200
OR
g=1200-15m
200
Write the point-slope form of a linear equation with a slope of 2/5 that goes through the point (-5, 9)
y-9=2/5(x+5)
300
Isabel eats a 500 Calories burger and then burns off 25 Calories per hour after that.
What is the dependent variable?
The number of Calories burnt depends on the time Isabel has to burn them off.
So CALORIES are the dependent variable.
300
What line is the error?
Line 1 has the mistake. The x next to the 10 went missing.
It SHOULD be
10x-x+1
300
Identify the Domain & Range
Domain:
-1<x<=6
Range:
-3<=y<=5
300
Write the equation of the line graphed below in slope-intercept form.
y=-3x+2
300
Write the slope intercept form of the standard form
x-3y=18
subtract x from both sides
-3y=18-x
Divide by -3 to both sides
y=(18-1x)/-3
Simplify
y=18/-3+(-1x)/-3
y=-6+1/3x
400
The height, y, of a teenager in a randomly chosen classroom, x.
Is this scenario continuous or discrete.
The height of a teenager can be measured, so the data is continuous.
400
Solve for h
A=(h(a+b))/2
h=(2A)/(a+b)
400
For what value of x does r(x)=3 ?
x = 7 when y = 3.
r(7)=3
400
Graph
y<1/2x+3
Dashed line and shaded below.
400
Graph
y+2=1/5(x-5)
then write the equation in slope-intercept form.
Slope-Intercept Form
y=1/5x-3
500
Jason is saving money for a new bike. He already has $150 and is able to save an additional $15 each week. The bike he wants to buy costs $400. In how many weeks will Jason have at least enough money to buy the bike?
Write and solve a mathematical representation to solve the world problem.
Jason needs to save for money for 17 weeks.
150+15w>=400
w>=16.6666667
500
Cans of diced tomatoes, c, weigh 36 ounces (oz) each. If a person is purchasing cans of diced tomatoes, the total weight, w(c), in ounces can be represented by the equation w(c)=36c.
Create a table of values, then use it to identify the DOMAIN and RANGE."# of cans" is discrete, so a list is necessary.
DOMAIN: {0, 1, 2, 3, ...} cans
RANGE: {0, 36, 72, 108, ...} pounds
500
When was the rate of change the greatest: Between 2017 and 2020 OR Between 2019 & 2021?
2017 and 2020
(-9kg)/(3yrs)=(-3kg)/(1yr)
2019 & 2021
(-9kg)/(2yrs)=(-4.5kg)/(1yr)
The rate of change was the greater between 2019 and 2021.
500
Write the equation of a line that is perpendicular to y=1/2x-13 and passes through the point (5,-6).
Perpendicular slope = -2/1 = -2
y+6=-2(x-5)
y+6=-2x+10
y=-2x+4