Solve the following equation for x.
4x - 3(x - 4 ) = 76
x = 64
100
What is the slope and y-intercept of the following linear function?
2x + 5y = 10
m = -2/5
b = 2
100
How can you determine if a relation is a function using a graph? Explain how to use the test and what the test means.
You use the Vertical Line Test.
100
Find the volume of a cone with a diameter of 16 inches and a height of 5.2 inches. Round your answer to the nearest hundredth.
348.51 cubic inches
200
Write the product of 5.25 x 10^4 and 6.34 x 10^5 in scientific notation.
What is 3.3285 x 10^10
200
Solve the following equation for x.
2(x – 4) = 12x + 33 – 13 – 3x
x = -4
200
What is the slope and y-intercept of the following linear function?
-3x - 4y = 12
m = -3/4
b = -3
200
How can you determine if a relation is a function using a table?
Every x-value has to have only one y-value.
200
Find the volume of a cylinder with a diameter of 4.5 feet and a height of 6.7 feet. Round your answer to the nearest cubic foot.
107 cubic feet
300
Divide 2.34 x 10^6 by 1.2 x 10^4. Write your answer in scientific notation.
What is 1.95 x 10^2
300
2(4n + 5) = 12n + 13 + 17 – 8n
n = 5
300
Determine the values for x and y for the system of equations: x - 3y = 1 and 3x - 5y = 11
x = 7; y = 2
300
How can you determine if a function is linear in a graph and table?
In a graph, the function should be a straight line. In a table, there should be a pattern within the x-values and a pattern within the y-values.
300
If one leg of a right triangle equals 4 feet and the other leg equals 7 feet, what is the length of the hypotenuse? Round your answer to the nearest tenth of a foot.
8.1 feet
400
How many times larger is 2.45 x 10^34 than 2 x 10^30 ? Write your answer in scientific notation.
1.225 x 10^4
400
0.4(2x + 1/2) = 3[0.2x + (-2)] - 4
x = -51
400
Describe how to perform the elimination method when solving a system of equations.
Eliminate opposite terms, then add the remaining equations together to solve for either x or y. Then substitute the known value to solve for the other missing value
400
Write a linear function with an exponent in the equation.
Answers will vary.
400
If one leg in a right triangle equals 13 inches and the hypotenuse equals 23 inches, what is the length of the other leg? Round your answer to the nearest tenth of an inch.
19.0 inches
500
How much greater is the number 4.67 x 10^6 than 5.6 x 10^5? Write your answer in scientific notation.
4.11 x 10^6
500
How many solutions are there to the following equation?
3(0.5x - 4) = 3/2x - 1.2
No solution
500
Green’s Gym charges a one time fee of $50 plus $30 per session for a personal trainer. A new fitness center charges a yearly fee of $250 plus $10 for each session with a trainer. For how many sessions is the cost of the two plans the same?
10 sessions
500
Write the linear equation of the line that passes through the points (-9, -7) and (0, -3).
y = 4/9x - 3
500
Draw and label alternate interior and alternate exterior angles formed by two parallel lines and a transversal.