In algebra, we use symbols called variables to represent numbers and sometimes processes.
Let's subsitute 8 for x in a given expression.
x + y = 8 is an example of an equation. The main difference of between expressions and equations is the presence of an equal sign.
The term linear comes from the word line, because the graph of a linear equation is always a line.
We can evaluate expressions by plugging in valuse for the variables involved.
Use the graph to determine the cost of electricity including the 8% sales tax.
To evaluate the expression, substitue the values you are given for each variable and simplify.
To reduce a fraction, it means you write it in simplest form.
Distributive Property : The prodcut of a number and the sum of two numbers is equal to the first number times the second number plus the first number times the third number.
When we subtract a negative it is equivalent to adding a positive.
Plot the points on a graph.
Plot its height on the vertical axis and the time elapsed on the horizontal axis.
Graph a function from a table.
Find the y-intercept by plugging in x = 0.
If the domain of a function is all real numbers, then we call it a continuous function. If a particular set of numbers, then a discrete function.
The set of all values that we can use for the input is called the domain of the function, and the set of all the values that the output could turn out to be is called the range of the function.
Find the solution to the problems.
Use the linear interpolation to fill in the gaps in the data - that is, to estimate the valuse that fall in between the values known.
Linear extrapolation can help to estimate values that are outside the range of a data set.
Find the value of the slope of the line.
Abdul has $5 more than Xavire has. Let x stand for the number of dollars Xavier has. Write and algebraic expression to show the number of dollars Abdul has.
Lian is x CM shorter than Hannah. Hannah is 135CM tall. Write an algebraic expression to show Lian's height in CM.
Mr. Warren separate 30 students into n equal groups. Write an algebraic expression to represent the number of students in each group.
Carrie made 3 liters of lemonade for a party. After the party, she had 0.5 liter of lemonade left. Write an equation of represent n, the number of liters of lemonade that her guests drank.
Carly is twice as old as her sister. Let s represnt her sister's age in years. Write an expression to represent Carly's age in years.
Simplify each sum or difference when possible.
Samera has twice as many pets as Amit has. Kyra has 4 times as many pets as Amit has. Let "a" represent the number of Amit has. Write an eqpression to represent the number of pets Samera and Kyra have all together.
Harry earned $19.50 this week. That is $6.50 less than he earned last week.
a. Write an equation to represent m, the amount of money, in dollars, that he earned last week.
b.Determine how much money Harry earned last week.
Three friends evenly split the total cost of the bill for their lunch. The amount each friend paid for his share was $4.25.
a. Write an equation fo represent c, the total cost, in dollars, of the bill for lunch.
b. Determine the toal cost of the bill.
A landscaper charges $35 for each landscaping job plus $20 for each hour worked. She charged $95 for one landscaping job.
a.Write an algebraic equation to represent h, the number of hours that landscaper worked on that $95 job.
b. How many hours did that job take?