True or false?
If a system of equations has no solution, the lines will
cross at ONE point.
false; they will be parallel (not cross anywhere)
100
Explain the difference between a rational and irrational number.
Rational numbers are terminating or repeating.
Irrational numbers never repeat and never stop.
100
Solve the following multi-step equation:
5x + 2 = 7x - 12
x = 7
100
Label the function below as linear or nonlinear, and explain why.
y = 2x - 3
Linear; there are no exponents
100
(See Ms. Pritchett for angles)
Identify the type of angle pairings, and calculate the missing angle measurement.
complementary angles
x = 70 degrees
200
Identify each of the 3 type of solutions to a system of equations AND explain what the graphs will look like.
One solution- they cross once
No solution- they never touch; parallel lines
Infinitely many solutions- they lines lie on top of each other
200
Write the following number in scientific notation:
1,350,000
1.35 x 10(6)
200
Identify the slope of the line that passes through the following two points:
(5, -2) and (7,8)
m=5
(up 5...right 1)
200
Determine if the relation below is also a function. Explain how you know.
{(0,3) (3,0) (-3,2) (2,-3) (0, 2)}
NOT a function; "0" is repeated in the x-values
200
(See Ms. Pritchett for angles)
Identify the type of angle pairings, and calculate the missing angle measurement.
supplementary angles
x = 78 degrees
300
Which ordered pair is a solution to the following system:
y = 5x + 7 y = 6x + 9
a. (-2, 0) b. (-2, -3)
c. (0, -2) d. no solution
b. (-2, -3)
300
List ALL terms that apply to the value (given by Ms. Pritchett)
Real, Rational, Irrational, Integer, Whole, Natural
real, rational, integer
(can't be whole or natural because it's a negative number)
300
Solve the following multi-step equation (hint: combine like terms on EACH side before you do anything else)
5x - 3 - 2x = 4 + 3x - 7
infinitely many solutions
(3x-3 = 3x-3)
300
With your partner, create a table (x/y chart) that represents a FUNCTION. Explain why your table is a function.
answers vary
300
(See Ms. Pritchett for angle graphic)
Define alternate exterior angles, and give an example on the graphic provided.
alternate exterior- angles that lie on the outside of the two parallel lines, and are on opposite sides of the transversal
answers vary
400
Solve the following system of equations by graphing:
y = 1/2x + 4 y = 1/2x - 6
No solution (parallel lines)
400
Solve the following numerical expression:
(4-3)^-2 + 7^0 - (4^2 + 2)
-16
400
Solve the following multi-step equation (hint: combine like terms on EACH side before you do anything else)
2 (3x + 4) = 9 + 5x + 3
x = 8
400
(see Ms. Pritchett for graph)
(see Ms. Pritchett for answer)
400
(see Ms. Pritchett for angle graphic)
On the image below, angle 2 is 35 degrees. Use this measurement to determine the measurement of angle 1 and angle 6.
angle 1 = 145 degrees
angle 6 = 35 degrees
500
Solve the following system of equations by graphing AND using an equation:
y = 4x - 3 y = 2x + 9
(6,21)
500
Gary is researching statistics from last year's Super Bowl. He found out that 108,000,000 people watched the game on TV and 7.1 x 10^4 people attended the game. How many people saw the game total (this includes people who watched on TV and those who attended the game)? Write your answer in scientific notation.
1.08071 x 10^8 people watched the game (TV and in attendance)
500
A cab driver charges a flat rate of $15 plus an additional $1.50 for each mile that he drives. One day he made $87. How many miles did he drive that day?
Write a two-step EQUATION (y = mx + b form) and SOLVE to find the number of miles.
87 = 1.5m + 15
m = 48 miles
500
For the table below, identify the rate of change for the x-values and y-values. Determine if the rate of change is constant or variable, AND linear or nonlinear.
(You must list the rates of change AND answer all parts of the question)
Rates of Change: 1, 1, 1, 1/5
Variable
Nonlinear
500
(see Ms. Pritchett for angle graphic)
On the transversal image below, angle 1 is 125 degrees. Use this measurement to find the measurements of all other angles.