Algebraic expressions and equations
Solving equations
Patterning & word problems
Linear vs. non-linear patterns
100
Given the equation T=4n+2, the corresponding expression would be...
4n+2
(note: mathematical expressions do not have an equal sign)
100
In this algebraic expression 8x+7. What would 8 and 7 represent? Use one word mathematical terms learned in class to describe them
8 is the co-efficient, and 7 is the constant
100
In a word problem, a person gets 12 every week. and initially has $350 saved up. And this person also wants to buy a house for $856,567.99. What term would be the constant and explain why?
$350, because it is what they had initially. And it will be the same after working, in addition to the money they make. Hence, it does not change, i.e. the constant
100
The term value of a pattern goes up by 4.667 each time. Is the pattern linear or non-linear?
Linear
200
Write a mathematical expression for '4 times the square of a number'. (using n as the variable)
4n2
200
Solve the following equation: a+4=7
a=3
200
A persons heart beats 60 times in one minute. If k=beats per minute. What is an algebraic expression that models this?
60k
200
If y=x2, and I substituted -1, -2, -3, into the variable, what term values would I get respectively?
2, 4, and 9
300
If given the general term: y=4x+12. How would I find the constant using a 'simple trick'?
Substituting x=0. Because y=4(0)+12-> y=12. Hence, a +12 would remain after 'getting rid' of the variable. Therefore, 12 is the constant
300
What is the value for y, when x=-54?
-204
300
You buy apples at $2 per pound and oranges at $3.50 per pound. What is an expression for the total cost of fruit purchased? (let a and b represent the weight of apples and oranges, respectively)
2a+3.50b
300
Does this table of values represent a linear or non-linear pattern?
Linear
400
Write an algebraic equation for 'three times the sum of x and fifteen is equal to 30'
3(x+15)=30
400
Solve the following: (sqrt(0.5b+45)2)a0=397 (note: sqrt=square-root)
b=704
(note:anything to the power of zero is equal to 1, hence a0=1)
400
Riley purchased a custom T-shirt from T-riffic Prints with a phrase written on the front. T-riffic Prints charges $9 for the T-shirt and $0.80 for each letter written on it. If Riley’s custom shirt totalled $30.60 before taxes, how many letters are in this phrase?
27 letters
400
Non-linear graphs can have exponential changes and curved functions, what is another example of non-linear graphs seen in class?
Discontinuous graphs
(note: an example would be a graph that is initially linear then abruptly shifts upwards then plateaus)