Overview of
Systems of Equations
Systems of Equations
Solving Systems: Graphing
Solving Systems: Substitution
Scientific Notation
Decimals & Fractions
200
What will every linear equation create when graphed in the coordinate plane?
a straight line
200
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
200
When should you use the substitution method to solve a system of linear equations?
when you already know the value of one variable
200
Which number is greater
2.7 x 1012 or 2.3 x 1017 ?
2.3 x 1017
(Always look at exponents first.)
200
NO CALCULATOR***
Convert this fraction to a decimal.
1/2
0.5
(1 ÷ 2 = 0.5)
400
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.
400
What is the solution to the system of linear equations?
(0,2)
400
What is the solution (x, y) to the system of linear equations?
5x+2=y
x=2
(2, 12)
400
Express this number in standard form.
5.301 x 107
53,010,000
400
NO CALCULATOR***
Convert this fraction to a decimal rounded to the nearest hundredth.
1/3
.33
600
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
600
What is the solution to the system of linear equations?
(-1,4)
600
What is the solution (x, y) to the system of linear equations?
2x+10=y
x=12
(12, 34)
600
Express this number in scientific notation.
3,868,000,000
3.868 x 109
600
NO CALCULATOR***
Convert this decimal to a fraction.
0.7
7/10
800
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)
800
What is the solution to the system of linear equations?
(2,9)
800
What is the solution to the system of linear equations?
3x+6=y
y=12
(2, 12)
800
Express this number in standard form.
8.235 x 10—4
0.0008235
800
NO CALCULATOR***
Convert 2/3 to a decimal rounded to the nearest hundredth
.67
1000
Fill in the blanks:
The solution will be the point
( , ) where the two lines
________________
(x,y)
intersect
1000
What is the solution to the system of linear equations?
No solutions
1000
What is the solution to the system of linear equations?
5x-20=y
y=60
(16, 60)
1000
Express this number in scientific notation.
0.02077
2.077 x 10—2
1000
NO CALULATOR**
Convert this decimal to a fraction in simplest form.
.25
25/100, simplifies to 1/4