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100
Three consecutive numbers have a sum of 75. What is the smallest number?
The smallest number is 24.
100
The sum of 2 numbers is 43, their difference is 26. What are the two numbers?
17 and 26
100
Calculate the slope between the following points: (2,1) & (4,5)
The slope is 2.
100
2x + 6 =0
x = -3
100
(x + 2)(x + 4)
x^2 + 6x + 8
200
If Austin scores a 78 and 85 on his first two tests, what does he need to score on his third test to average an 87 for all three?
Austin needs to score a 98.
200
Art and Design sells a total of 292 tickets for a basketball game. An adult ticket costs $3. A student ticket costs $1. The school collects $470 in ticket sales. How many of each type of ticket was sold?
adult: 89 Student: 203
200
Calculate the slope between the following points. (-2,-1) & (7,8)
The slope is 1.
200
2x - 18 = -3x + 27
x = 9
200
x^2 + 12x + 35
(x + 7)(x + 5)
300
If the side lengths of a triangle are three consecutive odd numbers, and the perimeter is 51 cm, what is the length of the longest side?
The longest side is 19 cm.
300
The school that Matt goes to is selling tickets to a guitar performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
senior citizen ticket: $8, child ticket: $14
300
If the y-intercept of a line is -4 and the slope is 6, what is the equation of the line in slope intercept form.
y = 6x - 4
300
7x + 42 = -3x - 28
x = -7
300
(-2x + 5)(5x - 1)
-10x^2 + 27x - 5
400
Neal wants to buy a puppy. He pays $150 up front and then pays $5 every week after for the next year (a year has 52 weeks). How much will he end up paying at the end of the year?
He will pay $410.
400
Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket?
senior citizen ticket: $4, child ticket: $7
400
Graph the following line. y = -2x + 5
SEE TEACHER
400
x + 5(x - 1) = 7
x = 2
400
x^2 - 16x - 36
(x - 18)(x + 2)
500
Neal, Austin, and Claire play ball. Austin scores eight more points than Claire, and Claire scores five less than three the number of points as Neal.If they score 89 points total, how many points does Austin score?
42 points
500
Neal ate four more than three times the number of cookies as Claire. If they ate 44 cookies together, how many cookies did Neal eat?
34 cookies
500
Given a line passes through the y intercept of -1, and goes through the points (1,2) and (3,8), what is the equation of the line?
y = 3x - 1
500
8y - (2y - 3) = 9
y = 1
500
x^2 - x - 12
(x - 4)(x + 3)