Solving Systems
Substitution / Elimination
Rational / Irrational
Words to Equations
Mystery
100
3x − 2y = −2
x + 3y = 14
(2,4)
100
3x − 2y = −2
x + 3y = 14
To solve this system by substitution, which expression could be substituted for x?
A. 3y + 14
B. 3y - 14
C. -3y + 14
D. -3y - 14
C. -3y + 14
100
How do we know what an irrational number is?
A never ending, never repeating decimals
(Ex: pi)
100
Create an equation given the following explanation:
5 more than x is 10.
x + 5 = 10
100
How can we tell if something is a function or not?
A function has NO repeating x-values
200
8x - 3y = 3
3x - 2y = -5
(3,7)
200
Consider this system of equations.
(1): 2x − y = 4
(2): x + 2y = −3
Explain how to eliminate y from the given system of equations.
Multiply equation (1) by 2 and add the result to equation (2).
200
Is the
sqrt25
rational or irrational?
rational
200
Create an equation:
Caroline made $4,000 last month. She makes one-fifth of what her mom makes. Create an equation where x represents what her mom makes.
x/5=4,000
200
When analyzing a function, Julia finds that f(4) = 5. This means that the function passes through what point?
(4,5)
300
Consider this system of equations.
(1): 2x − y = 4
(2): x + 2y = −3
What is the solution to the system?
(1, −2)
300
What expression could be plugged in for y?
3x + y = -2
4x + 7y = 3
-3x - 2
or
(-4x + 3)/7
300
If a is a rational number and b is an irrational number, then the sum a + b is
irrational
300
Joe scored 10 points in the basketball game. This is 2 more than one-sixth of the points scored by the team. What equation, when solved for x, gives the number of points scored by the team?
x/6+2=10
300
What is the domain AND range of this graph?
domain : all real numbers
range: all real numbers greater than 3
400
2x + 2y = 3
4x + 4y = 6
Infinite Solutions
400
How could you eliminate x from the given system:
(1): 2x + 3y = 5
(2): 3x - 4y = 7
Multiply equation (1) by -3 and multiply equation (2) by 2, then add the equations.
or
Multiply equation (1) by 3 and multiply equation (2) by -2, then add the equations.
400
Which choices if multiplied by 4/5 would result in an irrational number answer? Choose two.
A pi
B 3.4
C sqrt(20)
D sqrt(64)
E 15/16
A and C
400
Create the equation:
Three less than the product of a number and 4 is 11.
4x - 3 = 11
400
Is the following sequence Arithmetic or Geometric? What is the common difference / ratio?
2.3 , 3.0 , 3.7 , 4.4 , ...
Arithmetic
common difference : 0.7
500
A discount store is selling 5 small tables with 8 chairs for $115. Three tables with 5 chairs cost $70. Determine the cost of each table (x) and the cost of each chair (y).
x = $15
y = $5
500
What could you plug in for x using the second equation?
3x + 2y = 4
2x - 4y = 6
2y + 3
500
What can you multiply pi/3 by to get a rational number?
0 or
3/pi
500
Create the equation:
Three times the sum of a number and five is 20.
3(x+5) = 20
500
What is the 15th term in the given sequence
-25 , -21 , -17 , -13 , -9 , ...
31