Introduction to long algebraic equation:
In this section we will study about long algebraic equation. Long algebraic equation includes the simple algebraic equations, algebraic identifiers, algebraic variables, and so on. We have some simple word problems and some sample problems in long algebraic equation. Let us study about long algebraic equation with some solved problems and exercise problems.
Example Problems for Long Algebraic Equation:
Example problem 1: Felix earned e extra credit points. Carissa earned 24 fewer extra credit points than Felix. Write the expression that shows how many extra credit points Carissa earned.
Solution:
The correct expression will subtract 24 from e to show how many extra credit points Carissa earned.
The expression for extra credit points Carissa earned is: e – 24
Answer: The expression for extra credit points Carissa earned is: e – 24
Example problem 2: This equation shows how the total distance Avery has walked depends on the number of trips he has made to school.
d = 4t
The variable t represents the number of trips he has made, and the variable d represents the total distance walked in kilometers. After 2 trips to school, how many kilometers will Avery have walked in total?
Solution:
Avery has made 2 trips to school. Sub in t = 2.
d = 4t
d = 4 × 2
d = 8
After 2 trips to school, Avery will have walked 8 kilometers.
Answer: After 2 trips to school, Avery will have walked 8 kilometers.
Exercise Problems for Long Algebraic Equation:
Exercise problem 1: Charlotte had 37 pennies. Then she found p more pennies in a drawer. Write the expression that shows how many pennies Charlotte has now.
Exercise problem 2: If a city with a population of 50,000 doubles in size every 55 years, what will the population be 220 years from now?
Exercise problem 3: This equation shows how the length of Nidhi's essay depends on the number of hours she spends writing this week.Looking out for more help on Algebra Mixture Problems in algebra by visiting listed websites.
p = 4h
The variable h represents the number of hours she spends writing this week, and the variable p represents the total number of pages that have been written. After spending 2 hours writing this week, how many pages will Nidhi have written in total?
Exercise problem 4: How much of a radioactive kind of niobium will be left after 2 minutes if you start with 32 grams and the half-life is 1 minute?
Solutions for long algebraic equation:
Solution 1: 37 + p
Solution 2: After 220 years, the population will be 800,000 people.
Solution 3: After spending 2 hours writing this week, Nidhi will have written a total of 8 pages.
Solution 4: After 2 half-lives, the amount of niobium left will be 8 grams.
In this section we will study about long algebraic equation. Long algebraic equation includes the simple algebraic equations, algebraic identifiers, algebraic variables, and so on. We have some simple word problems and some sample problems in long algebraic equation. Let us study about long algebraic equation with some solved problems and exercise problems.
Example Problems for Long Algebraic Equation:
Example problem 1: Felix earned e extra credit points. Carissa earned 24 fewer extra credit points than Felix. Write the expression that shows how many extra credit points Carissa earned.
Solution:
The correct expression will subtract 24 from e to show how many extra credit points Carissa earned.
The expression for extra credit points Carissa earned is: e – 24
Answer: The expression for extra credit points Carissa earned is: e – 24
Example problem 2: This equation shows how the total distance Avery has walked depends on the number of trips he has made to school.
d = 4t
The variable t represents the number of trips he has made, and the variable d represents the total distance walked in kilometers. After 2 trips to school, how many kilometers will Avery have walked in total?
Solution:
Avery has made 2 trips to school. Sub in t = 2.
d = 4t
d = 4 × 2
d = 8
After 2 trips to school, Avery will have walked 8 kilometers.
Answer: After 2 trips to school, Avery will have walked 8 kilometers.
Exercise Problems for Long Algebraic Equation:
Exercise problem 1: Charlotte had 37 pennies. Then she found p more pennies in a drawer. Write the expression that shows how many pennies Charlotte has now.
Exercise problem 2: If a city with a population of 50,000 doubles in size every 55 years, what will the population be 220 years from now?
Exercise problem 3: This equation shows how the length of Nidhi's essay depends on the number of hours she spends writing this week.Looking out for more help on Algebra Mixture Problems in algebra by visiting listed websites.
p = 4h
The variable h represents the number of hours she spends writing this week, and the variable p represents the total number of pages that have been written. After spending 2 hours writing this week, how many pages will Nidhi have written in total?
Exercise problem 4: How much of a radioactive kind of niobium will be left after 2 minutes if you start with 32 grams and the half-life is 1 minute?
Solutions for long algebraic equation:
Solution 1: 37 + p
Solution 2: After 220 years, the population will be 800,000 people.
Solution 3: After spending 2 hours writing this week, Nidhi will have written a total of 8 pages.
Solution 4: After 2 half-lives, the amount of niobium left will be 8 grams.
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