What is the formula for slope?
rise/run
OR
y2-y1/x2-x1
Determine whether it is a monomial, binomial, or trinomial:
8ab - 2c
binomial
A mathematical statement that contains two expressions and an equal sign is an _________.
equation
What are the two ways to solve a system of equations?
Elimination and Substitution
1 + 1 = ?
2
Find the slope between these two points:
(2, 1), (4, 2)
Find the sum.
(3x2 - 4) + (x2 - 9)
4x2 - 13
Write an equation that represents the sentence:
Six times a number z minus fifteen equals forty-five.
6z - 15 = 45
Use substitution to solve the system of equations.
4x + 2y = -8
y = -2x - 4
-8 = -8 (identity)
How To:
4x + 2(-2x - 4) = -8
4x -4x - 8 = -8
-8 = -8
What is PEMDAS?
P - parentheses
E - exponents
M - multiplication
D - division
A - addition
S - subtraction
Free 300 points!
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True or False: When subtracting polynomials, you have to find the additive inverse of a polynomial by writing the opposite of each term.
True
Translate the sentence into an inequality.
Five times a number minus one is greater than or equal to negative eleven.
5x - 1 ≥ -11
What can you do to eliminate the following set of systems of equations?
3x + 4y = 30
5x + 6y = 8
You can multiply the first set by -5x and you can multiply the second set by -3x. That is because there's no common multiple.
b2 * b2 = ?
b4
True
True or False: -2x times 4x2 = -8x2.
If false, state the correct answer.
False; -8x3.
True or False: When graphing an inequality that has the symbol < and >, the circle will be closed.
False
A family and consumer sciences class is making pillows and blankets to donate to a local shelter. The class has 40 yards of fabric to use. Pillows require 1.25 yards of fabric and take 1 hour to make. Blankets use 4 yards of fabric and take 2.5 hours to make. The class has 28 hours of class time left for the semester. Create a systems of equations.
1.25p + 4b ≤ 40
p + 2.5b ≤ 28
State the formula for standard form.
Ax + By = C
Find the b from these two points:
(4, 3), (9, -2)
(Hint: the slope is -1.)
7
Simplify the expression.
b(b2 - 12b + 1)
b3 - 12b2 + b
Solve the inequality:
1/2a < 20
a < 40
A set of two or more inequalities with the same variables is a _______ ___ ________________.
system of inequalities
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