Solving Equations
9k = -27
k = -3
-20 + (-11)
-31
4y + m + 5 + 3y - 3m
-2m + 7y + 5
Find the slope and y-intercept:
y = ½ x - 17
m = ½
b = -17
Fill in the blank:
When you multiply or divide two integers with different signs, the answer will be _______.
Negative
ʸ⁄₄ - 7 = -5
y = 8
-2 - (-8)
6
3(4 - p - q)
12 - 3p - 3q
Write the equation of a line with a slope of ⁴⁄₃ and a y-intercept of -4.
y = ⁴⁄₃ x - 4
A number that can be made by dividing two integers.
A number that can be written as a fraction.
Rational number
2x - 14 + 5x = x - 10
x = 2/3
-1000 + 1000
0
3x + 5(x - 4) - 1
8x - 21
A line passes through the points (1,3) and (2,1). What is the slope of the line?
m = -2
Which exponent rule states that when you raise a power o another power, you keep the bases and multiply the exponents?
The power rule
8 - 4(y + 1) = 16
y = -3
-4 ⁷⁄₁₀ + 18 ½
13 ⅘
(6x2 - 3x + 4) - (-2x2 + 2x – 2)
8x2 - 5x + 6
Find the slope and y-intercept of a line that passes through (5,-1) and (0,3).
m = ⁻⁴⁄₅
b = 3
What is the expression b2 - 4ac called in the quadratic formula?
The discriminant
-4(-3n - 8) = 10n + 20
n = -6
10 + 40 × (-50)
-1990
(x – 2)(x2 + 3x – 5)
x3 + x2 – 11x + 10
Find the slope of and y-intercept of a line that passes through (0,-2) and (3,-1). Write the equation of the line.
m = ⅓
b = -2
y = ⅓ x - 2
The converse of the Pythagorean theorem
This states that a triangle is a right triangle if a2 + b2 = c2