Definitions
Expressions
Systems of equations graphing
systems of equations by elimination
Miscellaneous
100
what is slope-intercept form? label the parts of the equation
y=mx+b
m=slope
b=y-intercept
100
Label the terms, constants, variables, coefficients and exponents in the following expression:
3x2-2xy+5
3 terms: 3x2, 2xy, 5
constants:5
coeffiecients:3,2
variables: x,y
100
What is the first step in solving a system by graphing?
Write both linear equations in slope-intercept form
100
using the elimination method to solve is easiest when the equations are in what form
standard form
100
One bag of one pound is full of cotton, and another bag of 1 pound is full of iron. Which bag is heavier?
Both weigh the same
200
what is standard form
ax+by=c
200
what is the first step when factoring expressions?
finding the greatest common factor
200
what are the three possible solutions to a system of equations? graph them
one solution, no solution, infinitely many solutions
200
Solve the system of equations
4x+8y=20
-4x+2y=-30
(7,-1)
200
If you take three apples from a group of 5, how many do you have?
3 because you just took them
300
Define constant and coefficient
constant: a fixed number with no variable
coefficient: number written along with the variable in the term
300
factor this polynomial:
6x2-24x
6x(x-4)
300
what is the solution
(1,-1)
300
solve:
x-y=11
2x+y=19
(10,-1)
300
What number do you get when you multiply all numbers on a telephone pad?
zero
400
what is a system of equations?
A system of equations is a collection of two or more equations that have the same variables.
400
factor out this polynomial:
17x2+51x
17x(x+3)
400
(2,2)
400
Use elimination to solve the system of equations
2x + 2y = −2
3x − 2y = 12
(2, -3)
400
When Anna was 50 years old, her daughter Mary was half her age. If Anna is 60 years old today, how old is Mary?
Mary is 35 now.
500
What is the solution to a systems of equations
The solution set to a system of equations will be the coordinates of the ordered pair(s) that satisfy all equations in the system.
500
factor this polynomial:
36x3+63x2-27x
9x(4x2+7x-3)
500
Which of the following graphs would fit the system of equations?
y=2x−4
y=−1/2x+1
500
2x − 3y = 6
4x + 3y =30
(6,2)
500
There are 3 positive numbers. You can either add these numbers or multiply them together, getting the same result. Which are the numbers?
Answer: 1, 2, and 3.