Algebra Basics: Solving Basic Equations Part 1 - Math Antics

Mounting an Algebraic Equation

	Each sentence expressed as an algebraic equation.
	Sentence Algebraic Equation A number increased by nine is fifteen. x + 9 = 15 Twice a number is eighteen. 2x = 18 Four less than a number is twenty. x - 4 = 20 A number divided by six is eight.

1. Twice a number is 28 is the same as 2x=28.

2. Three is 21 divided by a number is the same as 3 = 21/x

3. Twelve is sixteen less than four times a number is the same as 12=  4x - 16

Group work

Now it is your turn to write the following problems as equations then find the value of x.

1. Jeanne has $17 in her piggy bank. How much money does she need to buy a game that costs $68?

2. Helen is x years old. In thirteen years she will be twenty-four years old. How old is Helen?

3. Suzanne took  x  dollars from her savings account to buy some presents for Thanksgiving. 

Her old balance was $350, and her new balance is $280. How much did she spend?

4.A large pizza pie with 15 slices is shared among x students so that each student's share is 3 slices.

How many students are there?

http://www.mathgoodies.com/lessons/vol7/equations.html

Measurement & Volume

I can find the volume of an object using the formulas V = l x w x h and V = b x h.

Volume = length x width x height

Volume

1 a. Find the volume of this rectangular prism. unit is cm
2 a. Find the volume of this rectangular prism. unit is cm
3 a. Find the volume of this rectangular prism. unit is cm	.

https://www.ixl.com/math/grade-5/volume-of-cubes-and-rectangular-prisms

https://www.ixl.com/math/grade-5/volume-of-irregular-figures-made-of-unit-cubes

https://learnzillion.com/lesson_plans/8556-use-multiplication-v-l-x-w-x-h-to-find-the-volume-of-a-solid-figure

Maths Homework : Fractions,decimals and percentage

1. In the school car park, 73% of the cars were national cars and 0.71 were imported cars. Which cars had a larger percentage?

2. Thais and Laura were reading their library books.

Thais read 0.63 of her book and Laura read 58% of hers.

Who read more?

 3.   Murillo visited 32% of his favorite websites. Martin visited 0.35 of his favorite websites and Matias visited a 1/3 of his favorite websites.  Who visited a greater percentage of websites?

4.       Spelling  Test Results (maximum score 100 %)

Student	Fraction	Decimal	Percentage
A			40%
B	1/3
C		0.66
D	1/2		80%
E	8/10

a.   Who got the highest score? 

b.   Who got the lowest score?

c.   Who got the second highest score?

Word Problems: Fractions,Decimals and Percentage.

 1. At Shane's car park, 64% of the cars were blue. Across the street, 0.6 of the cars parked at Felix's car park were blue. Which car park had a greater percentage of blue cars?              

2. Nancy and Devon are trying to finish their math homework before their favorite TV show starts. Nancy finishes 0.5 of her problems. Devon finishes 47% of her problems. Who finishes a greater percentage of her problems in time?

 3.   Mitch visited 55% of his favorite websites. Robert visited 0.57 of his favorite websites. Who visited a greater percentage of his favorite websites?

 4.           Test Results (maximum score 100 %)

Student	Fraction	Decimal	Percentage
A			50%
B		0.66
C	3/5
D			80%
E	9/10

a.   Who got the highest score? 

b.   Who got the lowest score?

c.   Who got the second highest score?

d.   Who got 6% more than student C?

e.   Who got 30% less than the highest score?

Convert Decimals to Percentages

                        Convert the decimal numbers below to a percentage

Still have doubts? Go back and watch the videos as many times as necessary.

Remember to copy the decimal numbers.

1.  0.815 

2.  0.051 

3.  8.064 

4.  3.69 

5.  0.0743 

6.  7.05 

7.  0.007 

8.  3.009 

Challenge Yourself!

9. Which of the following two options are correct?

a. 50% + 0.04 = 0.5004
b. 50% + 0.04 = 0.54
c. 50% + 0.04 = 50.04%
d. 50% + 0.04 = 54%

10. Which of the following two options are correct?

a. 7% + 3.5 = 3.57
b.. 7% + 3.5 = 0.105
c. 7% + 3.5 = 10.5%
d. 7% + 3.5 = 357%

http://www.mathsisfun.com/converting-decimals-percents.html

Math Antics - What Are Percentages?