8.1 Exponents
What are the two parts of an exponent?
Base and exponent
What are the steps in the order of operations?
parenthesis, exponents, multiplication, division, addition, subtraction
Jane is twice the age of Brian. If Brian is b years old, what expression can you use to solve for Jane's age?
2b
Solve the equation: x = 3
4x + 3
15
Solve for the variable:
4b = 92
b = 23
What is 9 x 9 x 9 x 9 written in exponential form? What is the product?
9 to the power of 4.
6,561
How many terms are in the expression: What are they?
4(3+2) + 82
Three terms: 12, 8, 64 or 3, 2, 82
What is the coefficient, variable, and constant in the expression:
4 + 3m
coefficient: 3
variable: m
constant: 4
What expression is equivalent to 2(x+4) - 5
2x + 8 - 5
2x + 3
Which property involves changing the order of the numbers does not change the sum or product? example: 3 + 4 = 4 + 3
commutative or associative?
commutative
A football coach called 4 players to let them know that practice was cancelled. Each of those players called 4 more players. Then each of those players called 4 more players. How many players are on the football team?
64
What is the first step when solving:
4(7+9)3 + 8 - 7
7+9
How do you write the expression the product of 0.5 and f?
0.5f
Show two different ways to solve: y = 10
2(y - 9)
20 - 18 = 2
2 x 1 = 2
Combine:
3x2 + 2y - x2 + y2
2x2 + 2y + y2
Solve: 33 + 43
91
Write the expression: 5 more than the product of 12 and 8
12 x 8 + 5
Jordan starts with $100. He buys a $10 plate for lunch everyday at work. Write an expression to show how much money Jordan will have after w days.
100 - 10w
What is 1/34
1/27
To find the volume of a prism, you have to multiply length, width and height. If the length is 5, width 6, and the volume is 270, what is the height?
9
Write an equivalent expression for 24 x 22
26 or 23 x 23 or 21 x 25
Solve:
2(7 + 3 / 3 x 7)2 - 100
292
Grant makes double the amount of money plus 50 than his brother. If his brother makes d dollars. What expression can you use to solve for how much money Grant makes?
2d + 50
An uber ride charges $3.00 for pickup and an additional $0.25 for every mile during the ride. What expression can be used to solve if you rode m miles?
3 + 0.25m
Write an equivalent expression for
2(4r + 3) + 5
8r + 6 + 5 or 8r + 11