Name ___________________________________________________Date________________Period____________
Q4 Weekly Review #2
Solve using a calculator.
1.
How many ways can 10 students line up to wait for tickets?
2. How many 3 letter “words” can be made from FINAL?
3. How many ways can 6 shirts be chosen from a group of 20 to be packed for a vacation?
Solve.
4. How many choices are there for a dinner of beverage, main dish, and side, if there are 5 beverages, 10 main
dishes, and 8 sides?
5. The car dealer has 4 models of new cars. There are 3 packages for options and 5 colors. There is also an option
of hybrid, gas, or all electric. How many different cars could be created?
Find the next three terms.
6. 23, 32, 41, ___________, ___________, , ___________
What is the common ratio or common difference?
arithmetic or geometric?
7.
arithmetic or geometric?
4, -8, 16, -32, ___________, ___________, , ___________
What is the common ratio or common difference?
8. 100, 94, 88, 82, ___________, ___________, , ___________
What is the common ratio or common difference?
arithmetic or geometric?
9. 8000, 4000, 2000, ___________, ___________, , ___________
What is the common ratio or common difference?
arithmetic or geometric?
Simplify.
10.
16x3
4x2
11. (5x-3)4
12. 15x4y3
3xy-2
Graph each inequality of system of inequalities.
13. y < 2x – 2
15. y ≥ -4x
14. y > -1/3 x + 1
16. x < -2
y ≥ -3x - 6
ANSWERS - Q4 Weekly Review #2
Solve using a calculator.
1.
How many ways can 10 students line up to wait for tickets?
10! = 3,628,800 10 choices for the first spot, 9 for the next, 8 for the next, and so on.
2. How many 3 letter “words” can be made from FINAL?
P
10 3 = 720
Order matters! LNF is not the same as FLN.
3. How many ways can 6 shirts be chosen from a group of 20 to be packed for a vacation?
C
10 6 = 210
Order does not matter.
Solve.
4. How many choices are there for a dinner of beverage, main dish, and side, if there are 5 beverages, 10 main
dishes, and 8 sides? 5 beverages ● 10 main dishes ● 8 sides = 400
5. The car dealer has 4 models of new cars. There are 3 packages for options and 5 colors. There is also an option
of hybrid, gas, or all electric. How many different cars could be created?
4 models ● 3 packages ● 5 colors ●3 fuel types = 180
Find the next three terms.
6. 23, 32, 41, 50, 59, 68
Add 9
7.
arithmetic
Common Difference (CD) is 9
4, -8, 16, -32, 64, -128, 256
Multiply by -2
Common Ratio is -2
geometric
8. 100, 94, 88, 82, 76, 70, 64
Subtract 6
Common Difference is -6
arithmetic
9. 8000, 4000, 2000, 100, 500, 250
Divide by 2
Common Ratio is ½
geometric
Simplify.
10.
16x3
4x2
= 4x
11. (5x-3)4
= 625
x12
When dividing, divide coefficients and subtract exponents.
12. 15x4y3
3xy-2
= 5x3y
Multiply exponents for powers of powers.
Graph each inequality of system of inequalities.
11. y < 2x – 2
13. y ≥ -4x
12. y > -1/3 x + 1
14. x < -2
y ≥ -3x - 6