Definitions
what is a coefficient?
give an example
A coefficient is the number in front of a variable
Example: 3x
simplify the following by collecting like terms;
3r+2r
5r
if t=4, evaluate the following
7t
Jenna is training hard to qualify for the National Games.
She has a regular weekly routine, training for five hours a day on some days and 3 hours a day on the other days.
She trains altogether 27 hours in a seven day week. On how many days does she train for five hours?
She trains for 5 hours on 3 days a week, so she must train for 3 hours a day on the other 4 days of the week.
a number is substituted for g in the expression 7 + g and the result is 12.
What is the value of g?
g = 5
What is a variable?
Give definition and an example
A letter used to represent a number
Example: 3x
simplify the following by collecting like terms;
17w - 42w
-25w
if a=3 and b=6, evaluate the following;
5a+2y
On the weekend Sam played 4 more games than Alex did, and together they played 12 games.
How many games did Alex play?
4 games
which two expressions are equivalent?
4k
2k+4
k+4+k
2k+4 and k+4+k
what does it mean to evaluate an expression?
Replace each variable in an expression with a number
Simplify the following by collecting like terms;
7ab + 32 - ab + 4
6ab + 36
if s=5 evaluate the following;
40 - 3s - s(6 + s)
-30
Michael scores a 95, 87, 85, 93, and a 94 on his first 5 math tests. If he wants a 90 average, what must he score on the final math test?
86
Which of the following are equivalent
2w + 2
3 + 2w
2(w + 1)
2w + 2 and 2(w + 1)
How can terms be considered like terms?
provide an example
if the variables are the same
example 3t and 17t
simplify the following by collecting the like terms;
7y + 2b - 31 - 5b + 28 -3y
4y -3b -3
Evaluate the following expression when x=2 and y=14
x2 + 45x - 17y(x+y) =
-3714
Mikayla is paid m kr an hour at her job. write an expression that could be used if Mikayla received a pay increase of 30 kr and worked 8 hours
8(m+30)
write the following as an expression without using multiplication or division sign.
5 is added to y, then the result is doubled
2(5+y)