Substitution
{y=x2 , y=x+2
What is (−1,1),(2,4)
{x2+y=10 , x2-y=2
What is (+- Radical 6,4)
What determines a no solution answer
Graphically - No intersection
Algebraically - false statement ex. 5=0
A rectangular garden has an area of 48 square feet. The length is 4 feet longer than the width. What are the dimensions of the garden?
What is
Width = 6 feet
Length = 10 feet (since 6+4=10)
{y=x2−1 , y=2x+3
What is (3,5)
{x2+y=14, x2-y=6
What is (+- Radical 10, 4)
What determines infinitely many solution answer
Graphically - When the equations represent the exact same graph
Algebraically - When sub. or elim. reduces system to a consistent, always true identity or.. One equation is just a rewritten identity of the other
The product of two consecutive positive integers is 132. What are the two integers?
What is 11, and 12
{x2 + y = 10 , y = x+4
What is (-2, 2), (3,7)
{x2+y=20 , x-y=4
What is (-6,-10) , (4,0)
What makes an equation nonlinear graphically?
What is A curve, parabola, hyperbola, V-shaped, or circle rather than a straight line.
You buy some notebooks for $2 each and some pens for $3 each. Altogether, you buy 10 items and spend $24. How many notebooks and pens did you buy?
What is 4 notebooks and 6 pens?
{x2+y2=25 , y=x+1
What is (-4,-3) , (3,4)
{x2+y=18 , x-y=2
What is (-5,-7) , (4,2)
What makes an equation nonlinear algebraically?
X has the degree of anything EXCEPT 1
You have $50 to spend at a store. You buy some T-shirts for $8 each and some hats for $5 each. You end up buying exactly 8 items and spend all $50. How many T-shirts and hats did you buy?
What is NO SOLUTION