Simplifying Expressions
Solving Equations
Linear Relations
Finance, Coding, & Data Management
Are You Smarter than a 5th Grader (in Math)?
100
Simplify
-3a+5b-7c+3a-b-10c
4b-17c
100
Solve
4(x-3)=32
x=11
100
Determine the equation for the linear relation on the table
y=3x-1
100
The graph shows the prices of lumber over time.
1. Is the line a good line of best fit? Write a sentence explaining why or why not.
2. How would you determine the equation for the line of best fit?
1. Yes because...
- it goes through the middle of the data and has the same number of points above and below
- matches the shape of the data points
2. m - Find two perfect points and calculate the rise/run
b - Use one of your perfect points for (x,y) and your m to calculate b algebraically (in the equation)
100
What place is the number 3 in the number shown?
10987.654321
Ten thousandth
200
Apply the Distributive Property
-4(2b+7)
-8b-28
200
Solve
x-(5+6x)=10
x=-3
200
Find the equation for the line on the graph
y=2/3x-4
200
The pseudocode shown is used in a program where a user can draw a specific shape with specific dimensions. Write down everything out know about what the user asked the program to do before the green flag was clicked.
- Draw a square
- The dimensions of the square is 100 steps x 100 steps.
200
If gas costs $1.40/litre and Mrs Doble pays $53.90 when she fills up her minivan, how many litres did she need?
Her minivan needed 38.5L of gas.
300
Simplify to a single power using the exponent rules
a^2
300
Solve
5x+7-8x=5(x+7)+4
x=-4
300
A plane's distance (km) over time (hrs) when it's cruising is represented by the equation d=700t+8.
a. What does the 700 mean?
b. What does the 8 mean?
c. Make a change to this situation that would result in a vertical Translation up.
d. Make a change to this situation that would result in a vertical stretch.
a. The plane's speed is 700km/hr
b. The plane started cruising 8km above the ground.
c. The plane started cruising >8km above the ground.
d. The plane's cruising speed is >700km/hr.
300
This box plot shows the score out of 90 received by students on a Driver's Test. If 75% of students pass the Test, what is the minimum score required to pass?
72 out of 90
300
Determine the lowest common multiple of the following numbers:
6, 12, 15
60
400
Expand and simplify
-8(x+4)-4(3x-10)
-20x+8
400
Mrs Doble has a total of 90 whiteboard markers. She has 5 times as many blue markers as red markers.
How many blue markers does she have?
She has 75 blue markers.
400
Create an equation, words, and table of values for the relation shown on the graph.
Equation: A=5w+30
Words: Susie has $30 in her account, and she starts saving $5 each week.
Tables: Show teacher
400
List the differences between simple interest and compound interest.
Simple Interest: linear, interest calculated on principal value each year
Compound Interest: non-linear, interest calculated on the new accumulated amount each year
400
If the angles in a shape add to 720o, how many sides does the shape have?
6 sides (hexagon)
500
Expand and simplify
3x(x+8)-(x^2+14)+5(x-12)
2x^2+29x-74
500
Gabi works at Danby's and gets paid a $15 an hour and makes 15% in tips on her sales.
a. Determine an equation to represent her total pay on her paycheque. Declare your variables.
b. One paycheque, she makes $1987.50 when she worked 42.5 hours. How much did she make in sales?
a. Let P be her pay ($)
Let h be the number of hours worked
Let s be the value of her sales ($)
P = 15h + 0.15s
b. She made $9000 in sales.
500
Ally and Ben go to the Richmond Fair. Ally goes on 8 rides and spends $41.50. Ben goes on 13 rides and spends $60.25.
Determine an equation to represent the Richmond Fair's fees.
Let n be the number of rides gone on
Let C be the total cost ($)
C=3.75n+11.50
500
For the following graph,
a. create a question that would require interpolation to solve.
b. create a question that would require extrapolation to solve.
Interpolation: Solving for a point within the range of the data points given
Extrapolation: Solving for a point outside of the range of the data points given
500
*NO CALCULATORS ALLOWED*
Divide using long division until you have no remainder. Full credit will only be given if I see all of your work.
76531/8
9566.375