Solving Word Problems with Equations

The video tutorial covers solving various algebraic problems, including linear equations, systems of equations, and word problems involving reading pages, marbles, and fruit costs. It demonstrates methods like substitution and elimination to find solutions, emphasizing the conversion of word problems into mathematical equations.

If 6 more than 5 times a number is 2 less than 7 times that number, what is the number?

• 5

• 2

• 3

• 4

What is the value of X if 5X + 6 = 7X - 2?

• 2

• 3

• 5

• 4

Given that the sum of two numbers is 59 and their absolute difference is 23, what is the larger number?

• 41

• 36

• 45

• 50

If the sum of two numbers is 59 and their difference is 23, what is the smaller number?

• 19

• 20

• 18

• 21

Jesse read a total of 240 pages over two days. If she read 30 more pages than twice the number of pages on Tuesday, how many pages did she read on Wednesday?

• 170

• 200

• 140

• 100

How many pages did Jesse read on Tuesday if she read 30 more pages than twice the number of pages on Tuesday on Wednesday?

• 60

• 70

• 80

• 90

In a bag of 300 marbles, there are 80 more red marbles than blue marbles. How many blue marbles are there?

• 120

• 140

• 110

• 130

If there are 80 more red marbles than blue marbles in a bag of 300 marbles, how many red marbles are there?

• 210

• 200

• 190

• 180

If 5 lemons and 9 mangoes cost $6.70, and 8 lemons and 7 mangoes cost $6.65, what is the cost of 7 lemons and 8 mangoes?

• $7.05

• $6.95

• $7.15

• $6.85

What is the cost of each lemon if 5 lemons and 9 mangoes cost $6.70?

• $0.25

• $0.35

• $0.55

• $0.45