Solving Equations
What is the solution for the following equation
x3 = 27
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 7 shirts, 9 pants, and 5 shoes.
315 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
Sam walks south 10 miles to point A and walks east 15 miles to point B. If Sam had decided to walk in a direct line from Point A to Point B what would be the distance of that walk?
About 18 miles
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?
3/10
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.
What is the probability of pulling a red marble (putting it back in the bag) and then a blue marble out of a bag that has 10 Blue, 11 Red, and 9 Yellow marbles?
11 / 90
Would the following number be considered rational or irrational?
√8
Irrational
What is the solution to the following equation?
½ (2x - 4) = -3(x + 6)
x = -4
Jayce has bought a new TV that measures 8 inches by 15 inches. What is the diagonal length of the television?
17 inches
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 32 nails for every sheet of plywood. If he starts with 5000 nails, what would be the correct equation that would model the situation? x is the number of plywood sheets used and y is the nails left.
y = -32x + 5000
or
y = 5000 - 32x
If I roll a dice and then flip a coin, how many possible outcomes can there be?
12
What two integers would the following root fall between?
√150
Between 12 and 13