Patterns & Exponents
Variables
Solving Equations
Order of Operations
DIstributive P & Real Math
100
Write the next three terms in this number pattern. 2, 6, 10, 14,
18, 22, 26
100
Solve 10 + 2x for x = 8
26
100
Solve this expression: d + 5 = 53
48
100
List the order of operations
PEMDAS--1. Parentheses, 2. exponents, 3. multiplication/ division from left to right, 4. addition/ subtraction from left to right
100
Pollution: When burned, 18 gallons of gasoline produce about 360 pounds of carbon dioxide. Solve the equation 18 n = 360 to find how much carbon dioxide 1 gallon produces.
n = 20 lb
200
Simplify this expression: 2 ^ 6 (reads "2 to the 6th power")
= 2x2x2x2x2x2= 64
200
Solve 18 - 3y for y=2.5
10.5
200
Solve this equation: 0.4x = 1
2.5
200
Find the value of this expression: 33 - (14 + 6)
13
200
The are of Cape Canaveral National Seashore in Florida is approximately 57,627 acres. The area of Cape Cod National Seashore in Massachusetts is approximately 14,101 acres smaller. Write and solve an equation to find the approximate area of Cape Cod National Seashore.
c + 14,101 = 57,627 c = 43,526 acres
300
Write a rule for the number pattern 1, 5, 25,125, ...
start with 1, then multiply by 5 repeatedly
300
Write an expression for this word phrase: a increased by 7
a + 7
300
Solve this equation: 12 = r ➗ 9
108
300
45 ➗ 4.5 + 6.2 * 3
28.6
300
You buy a poster and a framing kit. The total cost is $18.95. You have $7.05 left in your wallet. Write and solve an equation to find how much money was in your wallet before these purchases.
m - 18.95 = 7.05 m = $26
400
Are 2^2 + 3^2 = (2 + 3)^2? (note: ^2 is the best I can write "squared" or "to the second power" in this program)
no, Order of operations requires adding (2+3) before squaring the sum. 15 does not equal 25
400
Write an expression for this word phrase: 6 less than c
c-6
400
Solve this equation: 5.8 = n - 0.35
6.15
400
solve this expression: (9-7)^3 x 6 (note: ^3 means "to the third power)
48
400
You are negotiating an allowance with your parents and you offer them the following deal. They pay you $3 the first month, $9 the second month, $27 the third month, and so on. Explain why they decline the offer and tell how much they would have to pay you at the end of the year. (You may use a calculator for this problem)
look for a pattern; you will notice that the first month is 3^1, the second month is 3^2, the third month is 3^3. Therefore, the 12th month would be 3^12 (the math gets big, and you could use a calculator for this one!) $531,444
500
Solve this expression: x^2 -6 for x = 5 (x^2 reads "x squared" or "x to the second power")
19
500
16 cups cost c dollars. Write an expression for the cost of 1 cup.
c/16 or c ➗ 16
500
Write and solve an equation for this situation: Each shelf in a store can hold 24 videos. The store has a total of 8,616 videos. How many shelves are needed for the videos?
8,616 / 24 = s shelves s = 359 shelves
500
simplify this expression: (10 - 8 )^4 X 3.5 (^4 reads "to the fourth power)
56
500
Use the distributive property to rewrite this expression and solve: 9 X 48
=9 (50-2) = (9X50) - (9X2) = 432
M
e
n
u