Vocabulary
What does perimeter mean?
Perimeter is the total distance of the outside of a shape. (add all of the side lengths together)
How do you read this numerical expression?
9(6)+23
"nine times 6 plus twenty-three"
How do you read this algebraic expression?
11k + 5
eleven times k plus five
Evaluate the following expression:
8u+17 u=6
8u+17 u=6
8(6)+17
48+17
65
True or False: An expression has an equal sign
False
What is the definition of a variable?
Give an example.
A variable is a letter that represents an unknown number/value.
Write a numerical expression to represent this phrase:
"48 divided by 9"
48/9
Write an algebraic expression to represent this phrase:
"twice a number increased by 6"
2x + 6
Evaluate the following expression:
18-5p p=3
18-5p p=3
18-5(3)
18-15
3
True or False: 17y means 17 plus y
False, whenever a number is right next to a variable it means to multiply. So, 17y means 17 times y.
What is the definition of coefficient?
Give an example.
Coefficient is the number being multiplied to a variable.
Write a numerical expression to represent this phrase:
"16 divided by 4 plus 9 times 2"
16/4 + 9*2
Write an algebraic expression to represent this phrase:
"take a number b, divide it by 4, then increase the quotient by 5"
b/4 + 5
Evaluate the following expression:
12q/4 q=8
12q/4 q=8
12(8)/4
96/4
24
True or False: If a square has side lengths of n, the expression to calculate the perimeter would be 4n.
True. n+n+n+n = 4n
What is the definition of a constant?
Give an example.
A constant term is the number that is not being multiplied to a variable.
Write a numerical expression to represent this phrase:
"four times twelve divided by 3"
4*12/3
Max started reading a 300-page book. He can read 15 pages each day.
Write algebraic expression that represents how many pages he will have left after x days?
300 - 15x
Evaluate the following expression:
3(5j)-16 j=6
3(5j)-16 j=6
3(5*6)-16
3(30)-16
90-16
74
Identify the errors in the following statement:
In the algebraic expression: 8f + 7x + 16
1. The coefficients are f and x
2. The variables are 8 and 7
3. The constant term is 16
4. There are 5 terms
8f + 7x + 16
1. False: The coefficients are 8 and 7
2. False: The variables are f and x
3. True: The constant term is 16
4. False: There are 3 terms
What does evaluate mean?
(You can give an example as your definition.)
Croakie jumped 5 super hops in a row and then jumped 7 more feet. If each super hop was 8 feet. What is the total distance that Croakie jumped?
Write an expression to represent the word problem.
5(8)+7
8+8+8+8+8+7
47 feet
Write an algebraic expression to represent this phrase:
"take a number x, double it and then take that result away from 12"
12 - 2x
Write an algebraic expression that represents the work problem. Then evaluate the expression when x=12
"take some number x, triple it, then divide it by 4"
3x/4
3(12)/4
36/4
9
A student states the value of an expression 5𝑥+6 is 59, when 𝑥=3.
Is the student correct?
If not, explain what he did wrong.
Incorrect, if the 5 is right in front of the variable it means to multiply
5𝑥+6 --> 5*3+6 --> 15+6 --> 21