Inequalities
Sequences
Exponential Functions
Geometry
(Measurements and Triangles)
(Measurements and Triangles)
Data
100
Given the inequality: x < 2
Graph the inequality on a number line.
100
Arithmetic or Geometric?
Explain!
Sequence: 7, 2, -3, -8, …
Arithmetic because it has repeated addition/subtraction!
Sequence: 7, 2, -3, -8, …
100
Which equation shows an initial value of 5 and a growth factor of 2?
a. y = 5x + 2
b. y = 5 * 2x
c. y = 2x + 5
d. y = 2 * 5x
Answer: B. y = 5 * 2x
initial value: 5
growth factor: 2
100
A rectangle has an area of 64x2-9. What are the side lengths?
(8x+3) (8x-3)
100
What is the mode of the data set?
1, 4, 3, 2.5, 2, 1, 4.5, 5, 1, 2
1, 4, 3, 2.5, 2, 1, 4.5, 5, 1, 2
The mode is 1 because it’s the most frequent response.
200
Solve the inequality and graph on a number line.
x - 2 > 2
x - 2 > 2
+2 +2
x > 4.
200
What is the common difference?
Sequence: 13, 7, 1, -5, …
Sequence: 13, 7, 1, -5, …
The common difference is -6
(subtracting 6 each time)
200
Write the equation of the exponential function
Initial value: 24
Growth factor: 1.2
Initial value: 24
Growth factor: 1.2
y = 24 * (1.2)x
200
Find the distance between (4, 8) and (-12, 19).
19.4
200
Find the mean, median, and mode for women’s shoe sizes:
8, 7, 6.5, 8, 9, 8.5, 6, 8, 7
In order: 6, 6.5, 7, 7, 8, 8, 8, 8.5, 9
Mean: 7.5 (average)
Median: 8 (middle number)
Mode: 8 (most frequent)
300
Solve the inequality and graph on a number line.
3(x + 5) ≤ 6x + 9
3(x + 5) ≤ 6x + 9
3x + 15 ≤ 6x + 9
-3x -3x
15 ≤ 3x + 9
-9 -9
6 ≤ 3x
2 ≤ x
300
Arithmetic or Geometric?
Sequence: 2, 4, 8, 16, …
Sequence: 2, 4, 8, 16, …
This sequence is geometric because it has a pattern of repeated multiplication! (x2)
300
A population has an initial population of 5,000 people, and it is increasing by 12% each year.
Write the equation to model the population.
initial population: 5,000 increasing by 12%
y = 5000 * (1.12)x
300
The coordinates (2,5) is translated down 5 units and to the right 2 units. What are the new coordinates?
The coordinates (2,5) is translated down 5 units and to the right 2 units. What are the new coordinates?
(2-5 , 5+2) = (-3, 7)
300
What is the greatest cost involved with constructing a house?
The labor! (25%)
400
Graph the inequality on the coordinate plane:
y < 2x - 4
y < 2x - 4
Dotted line - Shaded below
Slope is 2 - Y-intercept is -4
400
What is the common ratio in the sequence:
99, 33, 11, …
The common ratio is ⅓ because the pattern is dividing by 3 or multiplying by ⅓
99, 33, 11, …
400
A car has an initial value of $7,500, and it is decreasing by 15% each year.
Write the equation to model the value.
initial value: $7,500 decreasing by 15%
y = 7500 * (1-0.15)x OR y = 7500 * (0.85)2
400
What is the length of the hypotenuse?
400
Complete the 2 way table:
500
Write the system of inequalities shown on the graph.
y≤2x+3
y≥ -x-3
500
Determine if arithmetic or geometric. If arithmetic, find common difference. If geometric, find common ratio.
Sequence A: 5, 0.5, 0.05, 0.005, …
Sequence B: 0.1, 0.21, 0.32, 0.43, …
Sequence A: 5, 0.5, 0.05, 0.005, …
Sequence A is geometric. Common ratio: 0.1 or 1/10
Sequence B: 0.1, 0.21, 0.32, 0.43, …
Sequence B is arithmetic. Common difference is 0.11
500
A property is initially worth $40,000, and its value is decreasing 5% each year.
Write an equation to model the value of the property, and use the equation to find the value of the property after 10 years.
Initial: $40,000. Decreasing 5%
Equation: y = 40,000 * (0.95)x
After 10 years: 40,000 * (0.95)10 = $23,949.48
500
Find the midpoint, M, of XY if X is (4, -3) and Y is (105, 98).
(4, -3)
500
What are the probabilities?
P(like skateboard) =
P(like snowmobile)=
P(skateboard given does not like snowmobile)=
P(like skateboard) = 125/160
P(like snowmobile)= 105/160
P(skateboard given does not snowmobile)=45/55