Linear Equations
Systems of Equations
Angles
3D Figures
Exponents and Scientific Notation
100
Find the value of y for the following equation when x = -1
y=-3/2x+5
y=13/2 or 6.5
100
Identify the solution to the system of equations:
(2, 3)
100
If the measure of angle 5 is 102 degrees, then the measure of angle 2 =____ degrees
78 degrees
100
Find the volume of the solid:
64 pi or 200.96 cubic inches
100
Simplify the expression. Write your answer as a power:
(b^4)^2
b^8
200
Find the slope of the line:
m=-1
200
Solve the system of linear equations:
y=x+4 and y=-x
(-2, 2)
200
Find the measure of the exterior angle:
75 degrees
200
Find the volume of the sphere. Round your answer to the nearest tenth. You may keep pi in the answer.
20.8 pi or 65.4 cubic inches
200
Simplify the expression:
(-3/8t^2)^2
9/64t^4
300
Find the slope of the line through the given points:
(1,2), (-3,2)
m=0 or no slope
300
Solve the system of equations:
y=-x+1 and -y=8x
(-1/7,1 1/7) or (-0.143, 1.143)
300
Find the measure of x degrees:
x=146 degrees
300
Find the volume of the composite solid (This composite solid is made up of a pyramid and cube). Round your answer to the nearest tenth if necessary.
96 cubic inches
300
Find the value of x that makes this equation true:
(-2)^(4x+2)/(-2)^(2x)=(-2)^12
x=5
400
The depreciated value y (in dollars) of a business car after x years is represented by the following equation. What does the y-intercept mean in terms of the what the equation represents?
y=-4200x+21,000
The current value of the business car. When x = 0 years or Present day, y = $21,000
400
Write a system of equations that represents the situation:
Amelia is 3 years older than Caleb, and Caleb is 2 more than half of Amelia's age.
A= Amelia's age
C= Calebs age
A=3+C
C=2+0.5A
400
Can a hexagon have angles that measure 85 degrees, 62 degrees, 135 degrees, 95 degrees, 173 degrees, and 160 degrees? Explain.
No it is not possible because the interior angles of a hexagon will add up to 720 degrees and the angles listed add up to 710 degrees.
400
A right triangular prism and its dimensions are shown below. What is the total surface area, in square inches, of the right triangular prism?
84 square inches.
400
200,000 times larger
500
Write an equation in standard form that represents the situation:
Your family is on a ski vacation. Lift tickets for family cost $80 per day. Snowboard rentals cost $40 per day. You purchase lift tickets for x days and snowboard rentals for y days and spend $480.
80x+40y=480
500
Determine whether the system of linear equations has one solution, infinitely many solutions, or no solution. Explain your reasoning.
y=3x+5 and y=3x-5
No solution. They are parallel lines because they share the same slope and have different y-intercepts.
500
What is the value of x?
x=30
500
A box in the shape of a rectangular prism and its dimensions are shown below. A manufacturer doubles the height of the box. What is the new surface area?
382 square inches
500
Evaluate the expression. Write your answer in scientific notation.
