Solving Algebraic Word Problems

The video tutorial covers various algebraic and geometric problems. It starts with solving an equation to find the original amount of money Lisa had. Then, it moves on to calculating the area of a rectangle using its perimeter. The tutorial continues with solving equations involving subtraction and multiplication, finding consecutive odd integers with a given sum, and calculating the number of texts sent based on a phone bill. It also includes a problem about book reading progress and concludes with solving for angle measurements in congruent triangles.

What is the original amount of money Lisa had if she spent $39 and was left with three-fourths of her original amount?

• $117

• $156

• $195

• $234

If the perimeter of a rectangle is 18.4 cm and the length is four more than three times the width, what is the width?

• 2.4 cm

• 3.1 cm

• 1.3 cm

• 4.2 cm

Given the perimeter and the relationship between length and width, what is the area of the rectangle?

• 8.27 cm²

• 9.13 cm²

• 10.27 cm²

• 11.34 cm²

If eight times the result of subtracting three from a number equals the number increased by 25, what is the number?

• 7

• 6

• 5

• 8

What are the three consecutive odd integers that sum up to 3?

• 2, 4, 6

• 1, 3, 5

• 0, 2, 4

• -1, 1, 3

In March, if the phone bill was $72.60 with a base cost of $35 and $0.05 per text, how many texts were sent?

• 752

• 689

• 617

• 845

In April, if the phone bill was $65.85 with a base cost of $35 and $0.05 per text, how many texts were sent?

• 689

• 752

• 845

• 617

If two congruent triangles have angle expressions 7x - 4 and x + 32, what is the value of x?

• 6

• 4

• 7

• 5

What is the measure of angle A if it is given by the expression 4x + 57 and x is 11?

• 103°

• 102°

• 101°

• 104°

If angle A is 4x + 57 and angle A' is 10x - 9, what is the measure of angle A' when x is 11?

• 102°

• 100°

• 103°

• 101°