slope
y-intercept
TOPIC 5
TOPIC 6
TOPIC 6
100
in y = Mx + b, this is the slope.
What is M
100
the line crosses this axis at the y-intercept.
What is the y-axis.
100
How many solutions does the system of equations have?
A no solution
B exactly one solution
C exactly two solutions
D infintely many solutions
B. EXACTLY ONE SOLUTION
100
1. Select all the true statements about relations and functions.
A. All functions are relations, but not all relations are functions.
B. The domain of a function is all the output values.
C. If a relation is a function, each input value will have only one output value.
D. If a relation is not a function, at least one input value will have more than one output value.
E. In a function, the output is the dependent variable and the input is the independent variable
A. All functions are relations, but not all relations are functions.
C. If a relation is a function, each input value will have only one output value.
D. If a relation is not a function, at least one input value will have more than one output value.
100
Natasha rides her bicycle
slowly uphill for 5 minutes, then speeds up for 1 minute until she reaches the top of the hill. Then she rides at a constant speed on a flat road for 15 minutes. For the last 2 minutes Natasha rides downhill until she arrives at school. Which graph shows the elevation of the bike over time?
THE TOP ONE IS CORRECT
200
go up 4 and over 3
What is a slope of 4/3
200
x always equals this value at the y-intercept point.
What is x=0.
200
2. Select all the statements that are true for the linear relationship shown.
A. The relationship is proportional.
B. The relationship is not proportional.
C. The graph does not pass through the origin.
D. The graph passes through the origin.
E. The slope is the same as the constant of proportionality.
A. The relationship is proportional.
D. The graph passes through the origin.
E. The slope is the same as the constant of proportionality.
200
Is the relation shown in the arrow diagram a function? Justify your answer.
A Yes. The inputs 0.8 and 0.4 have only one output.
B Yes. Each output has only one input.
C No. Each input has only one output.
D No. The input 1.2 has 2 outputs.
D No. The input 1.2 has 2 outputs.
200
Darnell spends $2 to buy leather for making braided wrist bands. He sells each wrist band for $3. Write a linear function in slope-intercept form that represents Darnell’s profit.
1 2 3 4 6
Y=____M - ___
Y=3M-2
300
when the line goes down or descends
What is negative slope
300
in the equation y=-2x+6, this is the y-intercept.
What is 6, or (0,6)
300
What is an equation of the linear relationship in slope-intercept form?
Y=____X + _____
Y=-1/2 + 2
300
Is the function shown linear or nonlinear? Explain.
A The function is nonlinear and does not have a constant rate of change.
B The function is nonlinear and does not increase for all x-values.
C The function is linear and has a constant rate of change.
D The function is linear and increases for all x-values.
A The function is nonlinear and does not have a constant rate of change.
300
ax puts a stopper in the bathtub and turns on the faucet attime t = 0. After 5 minutes, there are 11 gallons of water inthe tub and after 10 minutes, there are 22 gallons in the tub.Write an equation that relates the number of gallons, g, to tminutes.Equation:
g =__t
g=2.2t
400
this means go down 7 and over 2
What is slope of -7/2
400
the two lines y=-2/3(x) -7 and y=1/2(x) + (-7) cross at this point.
What is -7 or (0,-7)
400
The equation y = 75x + 150 represents the cost, y, of renting a pickup truck for x hours. Select all of the true statements.
A. The slope means the total cost increases $150 each hour.
B. The slope means the total cost increases $75 each hour.
C. The y-intercept means the initial cost is $150.
D. The y-intercept means the initial cost is $75.
B. The slope means the total cost increases $75 each hour.
C. The y-intercept means the initial cost is $150.
400
Is the relation a function?
Is the relation a function?
(0, 0), (2, 0), (2, 2), (3, 4), (6, 6)
No; Two points have different y-values for the same x-value of 2
400
A function represents Ahmud’s elevation above ground as he trains for a bike race. Which term would best describe the interval of the function when Ahmud is climbing a hill?
A increasing B decreasing
C constant D positive
A. INCREASING
500
What is the same about all these lines?
y = (-3/-6)x + 0
y = (5/10)x - 3
y = (-2/-4)x - 2
y = (4/8)x + 6
They all have the same slope of 1/2.
500
(-4, 11) which of these is the initial value?
(-3, 9)
(-2, 7)
(-1. 5)
(0, 3)
(1, 1)
(0, 3)
500
What is the
solution of the
system of
equations?
y = 3x – 1
y = 2x + 1
5,2
5=3(2)-1
5=2(2)+1
500
4. The graph shows Emile’s jogging speed over time. Select all the ways that describe the graph of the function in interval 2.
A. The function is increasing.
B. The slope is negative.
C. The function is decreasing.
D. The function is constant.
E. The slope is positive
B. The slope is negative.
C. The function is decreasing.
500
Kai traveled home and made several stops and detours, as shown by the graph. Select all the intervals on which the function is increasing.
C AND E