Solving linear equations
Solve for j
-4j+80j-41j+30=72
j=-1
Solve using substitution.
x − 10y = 5
2x + 7y = –17
(__,__)
(-5, -1)
What is a translation?
A slide of the shape a specific number of units
is -9 a rational number?
yes
Mrs. Nardos favorite place to get coffee
Dunkin
Choose the rational numbers
13/18
𝞹
√39
95.55555...
17.42
13/18, 95.5555..., 17.42
Solve using elimination.
–5x − 4y = –14
–6x + 4y = –8
(__,__)
(2,1)
1) a reflection over the x-axis turns (x,y) into _____
2) a reflection over the y-axis turns (x,y) into ______
3) a reflection over the y=x line turns (x,y) into _____
1) (x,-y)
2) (-x,y)
3) (y,x)
which of the following is an irrational number?
√36 √100 √30 √81
√30
Mrs. Nardo's favorite color
Blue
How many solutions does this equation have?
5/2(x–2)=3/4x–1–1/4x
one solution
How many solutions does the system of equations below have?
y = –5/3x + 9
y = 1/2x − 9/10
One Solution
a proportional stretch or shrink of an image on the coordinate place based on a scale factor
a dilation
what is the power rule (exponents)
The Power Rule for Exponents: (am)n = am*n. To raise a number with an exponent to a power, multiply the exponent times the power
Mrs. Nardo's favorite candy
Gummy bears
Todd is saving for a new video game. He has already saved $8, and he earns and saves another dollar each time he walks the family dog. Let w represent the number of times Todd walks the dog and d represent the total number of dollars saved.
complete the equation that represents the relationship between w and d.
d=_________
d=w+8
How many solutions does the system of equations below have?
2x + 10y = –7
4x + 20y = –14
infinitely many solutions
what is the difference between similar and congruent?
Congruent refers to figures or anything else that has the same size and shape and can be superimposed on top of each other. Similar is a term used to describe figures or other objects that are similar in size and shape but not identical in terms of dimensions.
what is the negative exponent rule?
Negative Exponent Rule: x–n = 1/xn. Invert the base to change a negative exponent into a positive.
Buddy
Russell loves to read and discuss books, so he joined a book club. The first book he read as a member of the club was a novel set in ancient Rome. There is a proportional relationship between the time Russell has spent reading the novel (in hours), x, and the number of pages he has read, y.
In 1.5 hours, Russell read 147 pages of the novel. Write the equation for the relationship between x and y.
y=_________
y=98x
Look at this set of ordered pairs:
(–19, –13)
(0, 1)
(3, 1)
(20, 20)
(14, 12)
(1, –12)
Is this relation a function?
yes
1) a 90-degree clockwise rotation turns (x,y) into ____ (also 270 counter-clockwise)
2) a 180-degree rotation turns (x,y) into _____
3) a 270-degree clockwise rotation turns (x,y) into ____ (also 90 counter-clockwise)
1) (y,-x)
2) (-x, -y)
3) (-y,x)
define the exponent rules:
product rule, quotient rule, power to power, zero exponent, negative exponent
Product rule: same base, keep the base, add the exponents
quotient rule: dividing with the same base, keep the base and subtract the exponents.
power to power: same base, keep the base. multiply the exponents
Zero exponents: any non-zero number to the zero power =1
negative exponent: base to negative power moves the numerator to the denominator and the sign of the power changes.
How many siblings does Mrs. Nardo have?
1