Word Problems
Three consecutive numbers have a sum of 75. What is the smallest number?
The smallest number is 24.
Identify the slope and y-intercept: 6x+3y=18
What is m=-2;b=6
What is the standard form for linear equations?
y=mx+b
what is this equation in standard form?
x2 = 3x − 1
x2 − 3x + 1 = 0
What is the mean of the following numbers?
3 5 6 6 8 9 12 13 16 19 20
10.64
Jake buys 2 doughnuts and 3 coffees for $9. Jill buys 3 doughnuts and 4 coffees for $12.50. The cost of one doughnut.
Doughnut =$1.50
Y-intercept: -2x+5y=-20
What is y-intercept=-4
Solve the following equation.
−3x + 3y = 4
−x + y = 3
No solution
What is the solution to the following equation?
x2 + 3x− 28 = 0
X=-7
x=4
What is the mean for the following numbers?
3 7 11 8 5 6 9 9 5 10
7.3
Ashley has $25 in her bank account and earns 3.5% interest. The amount she has in 3 years (rounded to the nearest cent).
What is $27.72?
Solve for x:
16x-4=4(2x-3)
What is x=-1.
What is the solution for this linear system:
5x+y=4
6x-y=7
What is (1,-1)
What is the solution to the following equation?
4x2 -12x=16
x=4
x=-1
What is the median for the following numbers?
3 7 11 8 5 6 9 9 5 10
7.5
Neal wants to buy a puppy. He pays $150 up front and then pays $5 every week after for the next year. How much will he end up paying at the end of the year?
He will pay $410
What is the slope for the following coordinates?
(-5,3) (5,-3)
Slope=-3/5
Equation in of the line that passes through the two given points: (3,9) (1,1)
What is y=4x - 3
Factors of the following: x2-5x-6
(x-6)(x+1)
what is the range for the following numbers?
3 5 6 6 8 9 12 13 16 19 20
17
A car depreciates according to the model $10,000(.82)t. The rate at which the car loses value.
What is 18%?
What is the slope for the following coordinates?
(0,-5) (-3,5)
Slope=-10/3
solve this equation using elimination.
8x − 6y = −20
−16x + 7y = 30
(-1,2)
What is the solution of the following equation?
x2-25=0
x=5
x=-5
What is the Minimum, Maximum, Median, Q1,Q3 and IQR for the following numbers?
53 39 39 33 69 30 25 67 130 94 40
Min = 25
Q1 = 33
Median = 40
Q3 = 69
Max = 130
IQR=36