Solving Equations
What is the solution for the following equation
x3 = 27
a) x = -3 b) x = 3
c) x = no solution d) x = 3 and -3
b) x = 3
Would the following be considered a right triangle?
7, 24, 25
yes it would be considered a right triangle
The relationship between years experience and salary is modeled by the following equation
y = 40,000 + 3,500x, where y is the salary and x is the years experience. Explain the slope in context of the problem.
For every additional year of experience, the salary is expected to increase by 3,500
How many different combinations could there be if someone has 3 shirts, 2 pants, and 5 shoes.
60 combinations
Would the following number be considered rational or irrational?
5.32147
Rational
What is the solution for the following equation?
5(x + 11) = 2(x - 19)
x = -31
If the point (5, 5) was reflected on the x-axis, what would the new points coordinates be?
Hint *Draw the point on a coordinate plane*
(5, -5)
The relationship between years experience and salary is modeled by the following equation
y = 40,000 + 3,500x, where y is the salary and x is the years experience. Explain the y-intercept in context of the problem.
The starting salary for someone with no experience is 40,000
What is the probability of pulling a red marble out of a bag if there are 10 Blue, 11 Red, and 9 Yellow?
11/30
Would the following number be considered rational or irrational?
√64
Rational
What is the solution to the following equation?
3x + 9 = 3x - 10
no solution
What is the distance between the following points on a coordinate plane?
(8,3) and (53, 31)
53
The relationship between the amount of food (in pounds) left on a boat the the amount of weeks the crew has spent on the boat is modeled by the following equation y = 250 - 35x, where y is the amount of food left on the boat and x is the weeks spent on the boat. Explain the slope in context of the problem.
The crew consumes 35 pounds of food per week.
In the scatter plot drawn on the board, what type of correlation is present?
strong positive
Would the following number be considered rational or irrational?
√8
Irrational
What is the solution to the following equation?
x2 = 16
x = 4 and -4
A container of soup in the shape of a cylinder has a radius of 1.5 inches and a height of 4 inches. Which equation is correct given the formula
cylinder: πr2h
a) π(1.52)(4) b) π(42)(1.5)
c) 1/3 (π)(1.52)(4) d) π(43)(1.5)
A
The relationship between the amount of food (in pounds) left on a boat the the amount of weeks the crew has spent on the boat is modeled by the following equation y = 250 - 35x, where y is the amount of food left on the boat and x is the weeks spent on the boat. Explain the y-intercept in context of the problem.
The crew started with 250 pounds of food
In a standard deck of cards there are 13 clubs and 4 queens. What is the probability of drawing a club, putting it back in the deck, and then drawing a queen?
1/ 52
Would the following number be considered rational or irrational?
π (pi)
Irrational
What is the solution to the following equation?
2(x - 1) = ½ (4x - 4)
infinite solutions
What is the distance between the following points?
(9, 10) and (-5, -30)
42.4
A contractor is determining the amount of materials needed for the construction of a new building. He knows that he will use 5 boards of wood for every wall. If he starts with 500 boards of wood, what would be the correct equation that would model the situation? x is the number of boards and y is the boards left.
y = -5x + 500
or
y = 500 - 5x
In the scatter plot drawn on the board, what type of correlation is represented?
no correlation
What two integers would the following root fall between?
√150
Between 12 and 13