FREE Regents Algebra MCQ Question and Answers
Jessica spent $3.50 apiece on H half-gallons of ice cream and $2.50 on P packages of ice cream cones. She spent $43 on 14 purchases. What formulae could be used to calculate the number of products Jessica bought?
John's chances of tripping over his shoelace and having grass stains on his knees are 4/5 and 1/2, respectively. John's likelihood of falling and getting grass stains on his knees is 2/5. John only gets grass stains on his knees when he trips over his shoelaces, is that reasonable to say?
The man passing by is the one who is thought to be least affected by casinos. All alternative choices involve a personal interest.
Solve the series of linear equations below.
5.5x + 2 = -15x - 3 +4y
6x + 32y = 3
To achieve 20.5x -4y = -5, group related terms together on the first equation. Find a multiple that enables us to eliminate terms from the second equation now. Equation 1 is multiplied by 8 to provide 164x -32y = -40, which we can then add to our other equation.
6x +32y = 3 It is calculated that 170x = -37. Simply solve x=-.218 now, and then enter this answer into either of the x's initial equations to get y=.135.
An alternative strategy is to solve both equations in terms of y. y = 5.125x + 1.125 in equation 1. y =.09375 -.1875x in equation 2. Now solve for x = -.218 and y =.135, setting these equations equal to one another in the process.
What does the y-intercept stand for if the following equation represents the revenue of a pizza over time?
y = 120x + 1500
Input 0 for x in order to determine the y-intercept. With y = 1500 left as the intercept, the choice must be either 1 or 2. Time is along the x-axis by tradition, although we may infer this even without being aware of the convention. We must presume that y stands for revenue because we have no basis for determining what 1500 would entail in terms of time.
A straight variation has the values 10 and 35 for x. For this relationship, write an equation.
We may determine the slope if we know that y varies directly as a function of x and that direct variation must pass via the point (0, 0). rise/run or m=?y/?x. To the equation y=mx+b, where b=0, add 35/10= 3.5 =m.