FREE Regents Algebra MCQ Question and Answers
Below is a system of equations:
Equation A: 5x 1 9y 5 12
Equation B: 4x 2 3y 5 8
Which technique takes one of the variables out?
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?
Solve the series of linear equations below.
5.5x + 2 = -15x - 3 +4y
6x + 32y = 3
Explanation:
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
Explanation:
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.
Explanation:
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.
Ryan is putting money aside to purchase a new baseball glove. He places $10 into a jar each month. Which kind of function most accurately predicts how much money will be left in the jar after a certain number of months?
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?
Explanation:
The man passing by is the one who is thought to be least affected by casinos. All alternative choices involve a personal interest.