Solve Equation
Solve:
3x - 2 = -14
x = -4
Determine if x = 2 is a solution to 5x - 8 = 2. Justify
Yes
Given the equation y = -2x + 5, what's the slope
Slope = -2
Two catering services provide food for events:
Catering Service A charges a $100 delivery fee plus $18 per guest.
Catering Service B charges a $40 delivery fee plus $22 per guest.
Which system of equations models the total cost, y, for x guests at each catering service?
(1) y=100x+18 and y=40x+22
(2) y=18x+100 and y=22x+40
(3) y=118x and y=62x
(4) y=18x+40 and y=22x+100
(2) y=18x+100 and y=22x+40
What is the formula for interquartile range
IQR = Q3 - Q1
Solve for x:
2 (x - 4) + 7 = 3
x = 2
Is x = 2 a solution to the equation 2(x - 5) + 3 = 13 ?
No it is not a solution.
Given f(x) = 4x + 10 and g(x) = 2x +20, for what value of x does f(x) = g(x)?
x = 5
When visiting a local movie theater, two groups of friends bought snacks from the concession stand. The first group bought 3 large popcorns and 2 fountain drinks for $28.50. The second group bought 4 large popcorns and 5 fountain drinks for $48.00.
Using p for the cost of a large popcorn and d for the cost of a fountain drink, write a system of equations that models this situation.
3p + 2d = 28.50
4p + 5d = 48.00
What's the symbol for mean and standard deviation in the calculator?
Mean = x̄
Standard Deviation = σ
Solve algebraically for x:
-2 (1 - 4x) = 3x + 8
x = 2
Given the system of equations, is (3 , 5) a solution to the equation? Explain
y= -¼ x +6
y = 2x - 3
No, because the graph does not intersect at (3,5)
A fitness gym offers two membership options:
Option A: y=20x+60
Option B: y=35x+15
where x represents the number of months and y represents the total cost in dollars. For how many months will the total cost of both options be the same?
3 months both Option will cost $120
Dylan has a bank that sorts coins as they are dropped into it. The coins are dimes and quarters. There are 90 coins with a value of $17.55 inside of the bank.
If d represents the number of dimes and q represents the number of quarters, write a system of equations in two variables could be used to model this situation.
d + q = 90
0.10d + 0.25q = 17.55
A data set is given below:
28, 28, 28, 28, 32, 32, 34, 34, 40, 42.
What is the value of the upper quartile of the data set?
Q3 = 34
Solve for x:
3(x - 8) + 4x = 8x + 4
x = -28
Is the answer a = 9 and b = 7 correct for the system below? Justify
a + 2b = 23
3a + 3b = 48
Yes
Rewrite 3x + 2y = -10 into slope intercept form
y = -1.5x - 5 or equivalent form.
Ian is borrowing $1000 from his parents to buy a computer. He plans to pay them back at the rate of $60 per month.
Ken is borrowing $600 from his parents to buy a snowboard. He plans to pay back at the rate of $20 per month.
Let x be the number of months and y be the amount left. Write a system of equations for Ian and Ken.
Ian: y = 1000 - 60x
Ken: y = 600 - 20x
The test scores from Mrs. Gray’s math class are shown below.
72, 73, 66, 71, 82, 85, 95, 85, 86, 89, 91, 92
Determine the mean and the mode of the data set
Mean = 82.5
Mode = 85
Which of the equation below have the same solution?
I. 10(x - 5) = -15
II. 4 + 2 (x - 2) = 9
III. ⅓ x= 3⁄2
II and III
x = 4.5
Given the system of equations, is r = 2.49 and f = 2.87 a solution to the system? Explain
4c + 3f = 16.53
5c + 4f = 21.11
No
Given 2y = x + 6 and 2x + y = 3, determine the solution to the system of equation.
x = 0 y =3
The cost of one pound of grapes, g, is 15 cents more than one pound of apples, a. The cost of one pound of bananas, b, is twice as much as one pound of grapes.
Write an equation that represents the cost of one pound of bananas in terms of the cost of one pound of apples.
b = 2 (a + 15)
From January 3 to January 7, Buffalo recorded the following daily high temperatures:
5°,7°,6°,5°, and 7°.
Which statement about the temperature is true?
1) mean = median
2) median = mode
3) mean = mode
4) mean > median
1) mean = median