Unit 1
Classify 12 as a natural, whole, integer, rational and/or irrational number.
natural, whole, integer, and rational
Why do scientists use scientific notation and significant figures?
To make sure data is written precisely and accurately.
Solve: x - 7 = -4
You and your brother are having a swimming race. You can swim 4 meters per m minutes, and your brother can swim 4.5 meters per m minutes. Write an expression to show your total time per m minute.
8.5meters per m minutes
Write 7/8 as a decimal
0.875
Write the following in exponential notation: 4 x 4 x 4
4^3
Simplify 6y + 3(x - 2y)
3x
Provide a sentence for the following: (3x - 2)/6y
Answers may vary: 3 times x minus 2, divided by the product of 6 and y
Simplify the following radical: cube root of 80
2 x the cube root of 10
Write this number in scientific notation: 438.7
4.387 x 10^2
Evaluate the expression (8y + 5) -2z when y = 4, and z = 12
13
What is the first step in solving this equation? 4x - 9x + 5 = 15
Combining like terms: 4x - 9x
Ms. Dodd is making brownies again. The recipe says that for 2 batches of brownies, it will require 4n cups of flour. However, Ms. Dodd wants to make 6 batches of brownies. Write an expression to show the total amount of cups of flour she will need.
12n cups of flour
Solve the order of operations: -0.4 x 9 + 14
10.4
How many significant figures are in the following number? 0.00423050
6 s.f.
Evaluate 4r÷2r , if r = -8
Robin's lawn is shaped like a square with a side length of 3x + 1 ft. If the total perimeter is 28ft, write and solve an equation to find the value of x.
2 ft
Solve the order of operations: 7.3[-8(3) ÷ (9 - 15)]
29.2
Write this number in standard form: 2.3 x 10^-4
0.00023
Factor the expression: -54x + 72p
-18(3x + -4p)
Solve: -3(x + 5) - -9 = 27
x = -11
At the snack sale, Peter sold five times as many brownies as Sarah sold. In total, they sold 78 brownies. Write and solve an equation to find how many did they EACH sold.
Peter sold 65, Sarah sold 13