Systems of Equations
What will every linear equation create when graphed in the coordinate plane?
a straight line
When should you use the graphing method to solve a system of linear equations?
when questions are written in slope-intercept form ...
when the equations are easy to graph
When should you use the substitution method to solve a system of linear equations?
when you already know the value of one variable
Which number is greater
2.7 x 1012 or 2.3 x 1017 ?
2.3 x 1017
(Always look at exponents first.)
What shape will the graph of this function be?
y = 2|x - 3|
V
What color is a ripe banana under a black light?
blue
At least how many equations will be in a system of linear equations?
At least 2 equations will be in a system of linear equations.
What is the solution to the system of linear equations?
(0,2)
What is the solution (x, y) to the system of linear equations?
5x+2=y
x=2
(2, 12)
Express this number in standard form.
5.301 x 107
53,010,000
For which values of the domain is this graph negative?Convert this fraction to a decimal.
1/3
x > 4
How many people can be seated in the White House movie theater?
42
The ___________________ to a system of linear equations is the ____________ where the equations have values for x and y that make both equations true.
solution
point
What is the solution to the system of linear equations?
(-1,4)
What is the solution (x, y) to the system of linear equations?
2x+10=y
x=12
(12, 34)
Express this number in scientific notation.
3,868,000,000
3.868 x 109
What is the range of this function?
R: {2, 3, 4}
How many ways can you make change for a dollar? (You can use pennies, nickels, dimes, quarters, 50-cent pieces, and dollar coins.)
293
What three solutions can a system of linear equations have?
1 point, no points (lines are parallel), infinitely many points (the lines are the same line)
What is the solution to the system of linear equations?
(2,9)
What is the solution to the system of linear equations?
3x+6=y
y=12
(2, 12)
Express this number in standard form.
8.235 x 10—4
0.0008235
If f(x) = 3x, what is f(4)?
81
What size shoe does former NBA player Shaquille O'Neal wear?
23
Fill in the blanks:
The solution will be the point
( , ) where the two lines
________________
(x,y)
intersect
What is the solution to the system of linear equations?
No solutions
What is the solution to the system of linear equations?
5x-20=y
y=60
(16, 60)
Express this number in scientific notation.
0.02077
2.077 x 10—2
For what value does f(x) = 1?
x = 3
At the Four Corners Monument, you can be in 4 states at once. Name all four!
Utah, Colorado, Arizona, and New Mexico