Unit 1
Knowledge: what kind of number is -√-16
It's unknown!
Knowledge: If a:b = 2:3, is 8, find 6a+½ b -1.
53
Knowledge: 3x+7 = 22
x = 5
Knowledge: Solve for X
1/6(x - 2) = 1/24(-2x + 4)
x = 2
Thinking: What is the standard form of 4.7x10^3, show your work.
4.7x1000 = 4700
Thinking: Ela wants to buy a Nintendo Switch game. The game is $79 before tax. She still needs $27 to buy it.
How much does Ela have now?
If the game has 30% markdown can Ela buy it now?
1. $62.27
2. $0.22 →22 cents
Communication: After Alice's calculations, she said that the value of x is 5. Perform a LS = RS check for the question below, is Alice correct?
5x+3 = 2x+20
x = 17/3
Thinking: Solve the equation below.
x - 2 / 3 = 4 - x / 7
x = 1/2
Communication: Out of the four numbers below, which one do u think is different from the other ones, explain why.
3/4 20/5 3/15 1/2
20/5 is different from all other ones because it is an improper fraction.
Application: 46% of grade 9 math students got A and 34% got B from the Unit 5 test. Remaining 10 students got lower than B. How many students in the classroom got A?
23 students got an A
Thinking: The four sides of a square are 7x-6, 5x-1, 3x+6, and 4x+3. Find the value of x (in cm) and the perimeter of the square.
X = 3cm
P = 60cm
Application: The perimeter of a triangle is 86 inches. The largest side is four inches less than twice the smallest side. The third side is 10 inches longer than the smaller side. What is the length of the largest side?
36 inches
Application: Three people share an apple pie, Michael ate 1/3 of the pie and Evelyn ate 1/4 of the remaining pie. Peter finished the rest of the pie. How much of the pie did Evelyn and Peter each eat?
Evelyn: 1/6
Peter: 1/2
Communication: Create a number line using the notation below and explain.
{x∈R/-2⩽x＜3}
＜------l------⬤------l------l------l------l------◯⃝⃝⃝⃝⃝⃝⃝------l------＞
-3 -2 -1 0 1 2 3 4
-2 is a closed circle which indicates that “-2” is included. 3 is an open circle which indicates that “3” is NOT included.
Solve for the value of x.
2(x+3)-3(9-2x) = 10-42(10x-5)
x = 241/428
Communication: Write an equation to represent the sum of three odd numbers is 257.
3X+6 = 257