What are the next three terms in the sequence? -3, 2, 7, 12,__, ___, __
Hint: Take the difference between the terms and find the pattern
Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff’s garden produced 4 bulbs. In the second year, it produced 8 bulbs, and in the third year it produced 16 bulbs. If this pattern continues, how many bulbs should Geoff expect in the sixth year?
Hint: Is it a geometric sequence or arithmetic sequence? If it is a geometric sequence, use the formula for nth term = First term * common ratio*n-1
For example: if the first term is 5 and the common ratio is 2 then the 6th term in the sequence = 5 * 2^5
What are the first four terms of the sequence represented by the expression n(n – 2) – 4?
Hint: plug in the value for n as 1, 2, 3, and 4 and calculate.
1(1 -2) - 4
2(2-2) -4
3(3 - 2) -4
A car maintains a speed of 23 mi/h for 5 seconds. It then accelerates to a speed of 46 mi/h in 5 seconds. It maintains that speed for the next 5 seconds. Which graph shows the car’s speed over time?
Hint: maintaining to a particular speed means a horizontal line/ slope is 0
Given the function rule f(x) = x² – 4x + 3, what is the output of f(–3)?
Hint: Substitute in x = -3
Therefore, calculate (-3)^2 - 4 *-3 +3
Suppose you earn $8 each hour you babysit. Which function describes the relationship between your total earnings E and the number of hours you babysit, h?
Hint: consider unit rate as 8 and starting point as 0
The data in the table illustrate a linear function.
What is the slope of the linear function?
Slope = Change in y / change in x = -2 - (-5) / ( 2 - 0)
Which hill described in the table is the steepest?
Hint: Find the slope by dividing Vertical rise / horizontal rise for each hill
Plot the graph for the equation y = 1/5 x -2
Start from the y intercept which is -2
then look at the slope 1/5 --- move one unit rise and 5 units to the right from the y- intercept
Repeat it the second step twice
A 154-lb person burns 420 calories per hour riding an exercise bicycle at a rate of 15 mi/hr. Write a function rule to represent the total calories burned over time by that person. Explain how the information in the problem relates to the function.
Hint: choose the right rate of change from the two options given -420 calories per hour or 15 mi/hr
The question is asking for the equation between calories burned and time. Thus rate of change should be amount of calories per hour
The sale price of shrimp at a local grocery store is $3.05 for the first ounce and $0.65 for each additional ounce. Which function rule shows how the cost of shrimp, y, depends on the number of ounces, x?
Hint: Identify the unit rate(m) and initial amount (b) and plug them in y = mx +b
Which quadratic rule represents the data in the table?
hint: Plug in the values of x in each of the options and check you get the y numbers in the table
eg: x^2 +5
when x = 1, y = (1^2) +5 = 6
When x = 1 y = -x^2 +5 , y = -(1^2) +5 = -1 +5 = 4 I got x = 1 , y = 4
Check all options
