Vocabulary
This is the number directly in front of a variable and indicates multiplying a term by that number.
What is a coefficient?
m*m*m*m*m
m^5
Equivalent or Not? Explain why/why not.
x*x*x*x = x^5
What is NOT?
3x + 1, where x = 5
What is 16?
If Luke is l inches and Michael is 3.5 inches shorter, write an expression to represent Michael's height.
What is l - 3.5 ?
| (-5) - 10 |
What is 15?
What is a letter or symbol that stands for an unknown value?
-3*a*-5*a*-2*a*-4*a
120a^4
Equivalent or Not? Explain why/why not.
(y*y*3)/(3y^2) = 1
Equivalent!
If p = 2...
(2*5p^3)/(4p)
What is 10?
Your bank account has $30 more than 5 times as much as your little sister's. Write an expression to represent how much money you have compared to your sister, s.
What is 5s + 30?
(-8) + 8 = 0 represents what mathematical property?
What is additive inverses?
What are addition and subtraction?
or
What are multiplication and division?
s ÷ 9 + 3 x t
(st)/3
Equivalent or Not? Explain why/why not.
-8^3 = (-8)^3
Equivalent!
Explain the difference between, and evaluate, the following expressions:
(-7)^2 vs.
-7^2
(-7)^2 = 49
-7^2 = -49
Write an expression to represent f less than 5.
What is 5 - f?
True or False? (Explain your reasoning)
(-6)^53 will result in a positive product.
What is false? The exponent is odd which means there will be an odd number of negatives multiplied, resulting in a negative product.
Flipping a fraction, mathematically, is called...
What is a reciprocal?
(l^2*-4*3m)/(-l*l*l*2m^5)
6/(lm^4)
Equivalent or Not? Explain why/why not.
g*g^2*g^3*g^4 = g^9
Not!
x = 10, y = 12
sqrt(x^2 + 156 + y^2)
What is 20?
What is (p^2 + 7n)/3 ?
Which operations are commutative? Give examples to prove why the others are not.
What are addition and multiplication?
Possible examples:
5 - 3 = 2 but 3 - 5 = -2
8 ÷ 2 = 4 but 2 ÷ 8 is 1/4 .
This is a group of algebraic terms that are grouped together by +, -, x, ÷.
What is an algebraic expression?
When will a negative number raised to a power, in parentheses, have the same product as a negative number raised to a power without parentheses?
What is when the exponent is odd?
Equivalent or Not? Explain why/why not.
(-3a*2b*10c)/(5a*-6b*2c*c) = c
Not!
x=9, y=3, z=6
(x^2 - 2xy)/(z^3-4y^2)
3/20
The number of girls at summer camp is 9 more than 3/4 the number of boys. If there are 234 girls, how many boys are at camp?
What is 300?
-((-8)*2 + (-2)/(-8)*-4)
What is 17?