Exponent Laws
& Scientific Notation
& Scientific Notation
Simplify (m5m4)/m2
(m5m4)/m2
= m9/m2
= m7
5x - 10x - 2y + 3y
-5x + y
3x + 2 = 3
x = 1/3
In the term: -5x2 what is the coefficient, base, and exponent?
coefficient: -5
base: x
exponent: 2
What two subjects does Ms. Lu teach?
Math and English
Write 34 x 106 in scientific notation
3.4 x 107
-2x(x2 - 4)
-2x3 + 8x
5(m + 1) = -5
m = -2
Are mn2 and -5n2m like terms? Explain.
Yes, since like terms have the same variable(s) raised to the same exponent(s).
Which university did Ms. Lu go to?
UofT
Simplify (y3)4(y5)2(x2)0
y22
4x - (x2 + 3x - 2)
= 4x - x2 - 3x + 2
= -x2 + x + 2
3(p + 2) = -2(4 - p)
p = -14
Find the mistake(s) in the steps below:
-3(x + 2) + 5x
= -3x + 6 +5x
= 2x2 + 6
Distribute the -3 to both terms in the brackets. When combining like terms, only add/subtract the coefficients and keep the variables/exponents the same:
-3x - 6 + 5x
= 2x - 6
What year did Ms. Lu graduate Teacher's College?
2022
Write 0.000329 x 10 in scientific notation
3.29 x 10-3
-2x2(4x + 3) + x(-4x2 + 8x)
= -8x3-6x2-4x3+8x2
= -12x3+2x2
(1/3)(u + 5) = (1/4)(u - 2)
u = -26
Find the mistake(s) in the steps below
5x - 2 = 8
5x = 6
x = 30
+2 to both sides instead of subtract
/5 on both sides instead of multiply
What is Ms. Lu's favourite colour?
Green
Simplify [(4mn3)2(2m2)]/(12m4n2)
[(4mn3)2(2m2)]/(12m4n2)
= [(16m2n6)(2m2)]/12m4n2
= 32m4n6/12m4n2
= 8n4/3
-3[4 - (x - 5)] - (4x - 2)(-x)
= -3[4 - x + 5] - (-4x2 + 2x)
= -3(9 - x) + 4x2 - 2x
= -27 + 3x + 4x2 - 2x
= 4x2 + x - 27
(1/3)(y + 1) + 1/2 = (1/4)(y + 3)
y = -1
What are the 4 steps to solving an algebra word problem?
1. Define your variables using "let" statements.
2. Write an equation in terms of only one variable.
3. Solve the equation.
4. Check your solution and write a conclusion statement.
What two subjects did Ms. Lu minor in during university?
Statistics and English