Algebraic Expressions and Equations

This video tutorial covers solving word problems in algebra, focusing on translating phrases into algebraic expressions, solving equations, and understanding units and conversions. It also delves into percent proportions, ratios, and inequalities, providing step-by-step examples. The video concludes with an explanation of direct proportion and the constant of proportionality.

What is the correct algebraic expression for 'four times a number'?

• 4 + X

• X / 4

• X - 4

• 4 * X

How would you translate 'four less than a number' into an algebraic expression?

• X - 4

• 4 - X

• 4 * X

• X + 4

If six more than a number is 14, what is the number?

• 6

• 14

• 8

• 10

What is the solution to the equation 3x = 45?

• 15

• 45

• 10

• 30

In the equation 5(x - 10) = 35, what is the value of x?

• 5

• 10

• 15

• 17

How many bottles of 500 ml are needed to make up 2.5 liters?

• 3

• 4

• 5

• 6

If Sarah runs 15 km every day, how many days will it take her to run a marathon of 42.195 km?

• 4

• 5

• 2

• 3

What is the percent of 18 out of 42?

• 42.86%

• 50%

• 25%

• 33.33%

If a store sold 120 out of 150 chairs, what percentage of the chairs were sold?

• 60%

• 90%

• 80%

• 70%

What is the inequality symbol for 'less than or equal to'?

• <

• >=

• >

• <=