Vocabulary
The answer to a division problem.
What is the quotient?
Solve the equation for y:
1. 3x + y = 1
y = -3x + 1
What is the formula to find the slope of the line?
y2 - y1 / X2 - X1
Algebra: Solve each equation for y:
1. 3 - 1/2y = 5x
y = -10x + 6
What is the slope of line perpendicular to another line?
The opposite reciprocal.
A _________ is an equation of a line.
linear equation
Any two points on a nonvertical line can be used to determine the _________.
What is the slope.
Find the slope of the line passing through each pair of points.
(2,-8) and (4,1)
slope = 9/2
Which property best defines this equation:
9 x 5 = 5 x 9
Commutative Property of Multiplication
Find the x-intercept and y-intercept of the following equation:
1. 2x - 3y = 5
Algebra:
x-intercept = (5/2, 0)
y-intercept = (o, -5/3)
The __________ of a linear equation is Ax +By = C.
Standard Form
What is the value of x in the equation:
3x - 15 = 21
12
Tickets to see a movie cost $5 for children and $8 for adults. The equation 5x + 8y = 80 represents the number of children (x) and the number of adults (y) who can see the movie with $80. If no adults see the movie, how many children can see the movie with $80?
16 kids
Use the distributive property to simplify:
-3(x-10)+x
- 2x + 30
A positive slope will look like what?
it rises from left to right
Subtract the polynomials: (9x2-4x+11) - (3x2-2x+2)
6x2-2x+9
Find the value of y in the equation:
3y + 3 = 3y/2
y = -2
Find the slope of a vertical line:
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The Associative Property of addition tells us what? And show this property in algebraic terms.
You can group numbers in any way when adding, and the sum will stay the same.
A horizontal line has what slope?
zero slope
Define coefficient:
A numerical or constant quantity placed before and multiplying the variable in an algebraic expression
Solve for x:
2x - 3 / 4 = x + 5 / 2
-3 = 10 (it's a contradiction!) no solution
A slope that is negative will have a graph that looks like what?
Its falls from left to right.
13 x 1 = 13
What property does this equation show?
The multiplicative identity
What are three things you need to remember about standard form?
1) A, B, and C must be integars (no fractions or decimals)
2) A should be positive (if it's negative, multiply the whole thing by -1)
3) the x term always comes first (just remember the formula, ax + by = c)