Unit 2
How many real numbers between 0 and 50?
A-50
B-100
C-1000
D-Infinite
D-Infinite
State whether the following represents a liner or non- linear relationship.
# Of toppings Total cost($)
1- $10
2- $11
3- $12
4- $13
5- $14
It is linear.(It is increasing by the same amount each time.)
Simplify.
(5x+3)+(2x-1)+(-3x+8)
= 5×+3+2×-1-3×+8
=4×+10
Determine the slope with the rise and run values. Express your answer in decimal form.
Rise=-4.25
Run=0.5
-4.25/0.5=-8.5
How many terms are in the following expression?
-5x+9y-8
A-1
B-2
C-3
D-4
There are 3 terms in the expression.
State whether the rate of change is positive, negative, or zero.
Time(Min) Depth(M)
0 100
5 80
10 60
15 40
20 20
It is negative.(For every 5 minutes you lose 20 metres.)
Solve
13.6-18.3=15.6x-4.7+20.8x
-4.7=36.4×-4.7
-4.7+4.7=36.4x
0=36.4x
0=x
What is a word used to describe two lines that are always the same distance apart?
A word used to describe two lines that are always the same distance apart is parallel.
Which statement about rational numbers is correct?
A-A rational number is always positive.
B-A rational number can be written as a fraction.
C-A rational number in it's decimal form is a non-ending, non-repeating decimal.
B-A rational number can be written as a fraction.
State the rate of change and the initial value.
Y=-50X+500
Initial value=500
Rate of change=-50
Solve equation for variable.
5x+4=3x+12
5x-3×=12-4
2x=8
2 2
X=4
What is a word used to describe two lines that intersect at a 90 degree angle?
A word used to describe two lines that intersect at a 90 degree angle is perpendicular.
Evaluate. Leave your answer as a mixed fraction in the lowest terms.
5/8 X -1/2
The awnser is -5/16
A Uber driver charges a flat fee of $10.00 and $5.00 per km.
What is the initial value of the chart below? What does it mean? Write a short explanation.
Number of km(N) Cost(C)
0 $10
2 $15
4 $20
6 $25
8 $30
10 $35
The initial value is $10. It costs 10$ even if you don't drive anywhere, and $5 for 2 kilometers.
To take pictures at a wedding, Claire charges an initial fee of $100 and a rate of $85 dollars per hour. Claire's earnings can be modeled into an expression 100+85t. T represents the number of hours spent working at the wedding. To take pictures at a wedding, veronica charges a fee of $150, and a rate of $70 per hour.
Put veronica's fee and rate into an equation.
Veronica's equation is $150+85t
Indicate whether the following pair of slope would result in a parallel line, perpendicular line, or neither.
8/14 and 24/42
8/14 24/42
= 8/14
Solve the following for x. Show all steps.
5x-9x+256-184
-4x=72
-4 -4
X=-18
Determine the rate of change for the tickets from the chart below. What does the rate of change mean?
#Of tickets(N) Cost(C)
3 $275
5 $425
7 $575
Rate of change is how quickly something changes overtime. The rate of change is $75 for every ticket.
Solve the equation.
7.5x-4.2x-92.7=-5x+82.5+x
3.3×-92.7=-4×+82.5
3.3×+44=82.5+92.7
7.3x=175.2
7.3 7.3
X=24
Determine the x and y intercept for each of the following.
x+y=8
Y intercept X intercept
Let x=0 Let y=0
0+y=8 x+0=8
Y=8 X=8