equations, inequalities and linear functions ~ module 1˚｡⋆.

Question 1

expression

Answer 1

a statement that contains numbers, variables, and operators, does not have equal signs, can only simplify or evaluate

Question 2

operator

Answer 2

a symbol that tells you if you should add, subtract, multiply, or divide

Question 3

order of operations

Answer 3

the way you simplify an expression that contains multiple operators

Question 4

evaluate an expression

Answer 4

to substitute a value into the expression for a variable and then simplify using the order of operations

Question 5

variables

Answer 5

letters that signify an important number in a situation

Question 6

what does pemdas stand for?

Answer 6

1.) parentheses
2.) exponents
3.) multiplication & division from left to right
4.) addition & subtraction from left to right

Question 7

what are brackets like?

Answer 7

parentheses

Question 8

what is simplified inside parentheses first?

Answer 8

exponents

Question 9

why is the order of operations important?

Answer 9

provides a universally accepted process for simplifying expressions with multiple operations

Question 10

what do we use variables to represent?

Answer 10

the unkown

Question 11

some values need to be ______ into the equation

Answer 11

plugged

Question 12

2t^2 + t + 1 for t = 3

Answer 12

22

Question 13

franco bakes 4 batches of brownies to share. if each batch contains 12 brownies and franco eats 6 of the brownies before sharing them, write and evaluate an expression that represents how many brownies he has to share. use the letter b as your variable.

Answer 13

42 brownies

Question 14

caio withdrew $1,000 dollars from his bank account today. he used $500 to repair his vehicle and then divided the remainder of his money into 5 equal parts. he kept one part for spending money and saved the rest for other expenses. finally, he ate dinner at a restaurant for d dollars.
if the price of caio’s dinner was $40, write and evaluate an expression that represents how much spending money he has left.

Answer 14

$60

Question 15

which statement below describes the expression (p-2)/3

a.) 3 sets of parents have 2 more than the number of children

b.) 3 students split 2 less than the number of pencils

c.) 2 pancakes less than three times the amount made

d.) 2 people split three less than the number of pop tarts

Answer 15

b.) 3 students split 2 less than the number of pencils

Question 16

formula

Answer 16

a preset equation you use to find common values or unknowns

Question 17

measurement

Answer 17

the size, length, or amount of something, as established by measuring

Question 18

perimeter

Answer 18

the distance around an object

Question 19

area

Answer 19

a measurement of how much space is inside a 2-dimensional object

Question 20

volume

Answer 20

the measure of the space inside a 3-dimensional object

Question 21

rectangle perimeter

Answer 21

p = 2(l + w)

Question 22

square perimeter

Answer 22

p = 4s

Question 23

circle circumference

Answer 23

c = 3.14d

Question 24

rectangle area

Answer 24

a = lw

Question 25

square area

Answer 25

a = s2

Question 26

circle area

Answer 26

a = 3.14r2

Question 27

triangle area

Answer 27

a = bh/2

Question 28

rectangular prism volume

Answer 28

v = lwh

Question 29

cube volume

Answer 29

v = s3

Question 30

sphere volume

Answer 30

v = 4/3(3.14)r3

Question 31

cylinder volume

Answer 31

v = 3.14r2h

Question 32

cone volume

Answer 32

v = 3.14r2h/3

Question 33

celsius to fahrenheit

Answer 33

f = 9/5c + 32

Question 34

fahrenheit to celsius

Answer 34

c = 5/9(f-32)

Question 35

your mom wants to buy you a new lunch box that is 6 inches tall. she texts you a picture of the lunch box to see if you like it. you tell her “yes”, but only if your soda can fits inside. you have no ruler, but you do know that the volume of the soda can is 15.7 cubic inches and that it has a diameter of 2 inches.
will the can fit in the lunch box?

Answer 35

yes

Question 36

explain the difference between area and volume

Answer 36

the area of an object measures the amount 2-dimensional space it occupies. Volume represents the amount of space inside a 3-dimensional object.