Number Patterns
Graphing Patterns
Writting Expressions
Evaluating Expressions
Equations
100
The pattern below continues:
Diamond - Star - Square - Diamond - Star...
What will the 16th shape in the sequence be?
The 16th term will be a diamond.
100
The price in R$ for a certain type of meat depends on the amount of kg you buy of it.
Using the graph below, how much will 8 kg of the meat cost?
Eight kilograms of meat will cost R$160.
100
Write an algebraic expression for the statement below:
Double a number, then add 5.
2x + 5
100
Evaluate the expressions below for x = 5
1.) 10x + 4
2.) 9 - 3x
3.) x/2
1.) 54
2.) -6
3.) (2.5)
100
What is the differene between an equation and an expression?
Equations have an equal sign, so we are comparing two values.
Expressions are mathematical statements that can represent patterns or facts.
We solve equations, looking for 1 value, where as in expressions, we evaluate them by substitution.
200
The pattern below continues:
2, 5, 8, 11, ...
Write an expression relating the position to the term.
3x - 1
200
What are the pattern rules for the x and y axis of the graph below?
X axis: Start at 20, add 20 each time.
Y axis: Start at 0, add 30 each time.
200
Say the expressions below in words:
1.) 9 - 3x
2.) (27/n) - (5/6)
1.) Three times a number subtracted from 9.
2.) Twenty seven divided by a number, then subtract five sixths.
200
Find the value of n in the expression below.
When we substitute n we get the value to the right of each expression.
1.) 5n - 1 (14)
2.) 2n + 8 (18)
3.) 35/n + 4 (9)
1.) n = 3
2.) n = 2
3.) n = 7
200
How do we say the equations below in words?
1.) x + 3 = 17
2.) 3y - 4 = 20
1.) A number plus 3 is 17.
2.)Three times a number then subtrat 4 is 20.
300
The pattern below continues:
2, 7, 12, 17,...
Is 47 a number in the sequence?
Justify your answer.
Yes, it is the 10th number in the sequence.
300
The distance and time a car has traveled is shown in the graph below. What is the velocity in km/min?
The velocity is about 5/3 or 1.6 km/min.
300
Write an algebraic expression for the statement below:
A fifth of a number, squared, then add 7.
(x/5)^2 +7
300
A pair of running shoes costs $70.
1.) Write an algebraic expression for the cost of r running shoes.
2.) What would be the expression if the shoes were 40% off?
1.) 70r
2.) 0.6 x 70 = 42 -> 42r
300
Write the equations below.
1.) Half of a number subtracted from 35 is 12.
2.) A number squared, then divided by two, and subtrated from 4 is 7.
1.) 35 - x/2 = 12
2.) 4 - (x^2)/2 = 7
400
This pattern continues:
96, 93, 90, 87,...
What is the 20th term in the pattern?
The 20th term is 39.
400
A plant species grows in accordance to the graph below.
About how tall will the plant be after 22 days?
The plant will be about 23 cm tall.
400
Find the value of n in the expression below.
When we substitute n we get the value to the right of each expression.
1.) 5n - 1 (19)
2.) 2n + 8 (6)
3.) 35/n + 4 (-1)
1.) n = 4
2.) n = -1
3.) n = -7
400
Solve the equations below.
1.) n/17 = 25
2.) 17 + 3n = 47
3.) 3n - 17 = 4
4.) 3n^2 = 27
1.) n = 425
2.) n = 10
3.) n = 7
4.) n = 3
500
A family member gives you 1¢ on April 1st, 2¢ on April 2nd and 4¢ on April 3rd. They continue to double the amount until April 12th.
How much will you get on April 12th?
You will recieve $20.48.
500
What is the equation that gives you the total cost C in dollars, based on the number of pounds p in the graph below?
How much would 123 pounds cost?
C = 2p
One hundred and twenty three pounds would cost $246.
500
Here are four algebraic expressions:
1.) 2 + 3n 3.) (2n/2)
2.) 2n + 3 4.) 3n - 2
Find at least two values for n, that when substituted produce the same value for two or more expressions.
Possible answers:
1.) n = 1 (In 1, 2 and 3, 4)
2.) n = -1 (In 1 and 3)
3.) n = 5 (In 2 and 4)
4.) n = -3 (In 2 and 3)
500
There are 42 more red marbles in a jar than white marbles.
If there are 238 marbles in the jar, how many are red and how many are white?
There are 98 white marbles and 140 red marbles in the jar.