Expressions and Equations Problems

The video tutorial covers writing equations using symbols, focusing on coefficients and key vocabulary. It guides students through translating word problems into equations, providing practice problems and solutions. The lesson concludes with a summary of key concepts and learning objectives.

What is the coefficient of x in the expression -5x?

• 1

• 5

• -5

• 0

If the sum of four consecutive even integers is -28, what is the smallest integer?

• -12

• -8

• -6

• -10

A number is four times larger than the square of half the number. How would you represent this equation?

• x = 4x^2

• x = 4x

• x = 4(x/2)

• x = 4(x/2)^2

Stephen spends $9 and has 3/5 of his original amount left. How do you express this situation?

• x + 9 = 3/5x

• x - 9 = 3/5x

• x + 9 = 5/3x

• x - 9 = 5/3x

The sum of a number squared and three less than twice the number is 129. What is the equation?

• x^2 - 2x + 3 = 129

• x^2 - 2x - 3 = 129

• x^2 + 2x + 3 = 129

• x^2 + 2x - 3 = 129

Miriam read a book with an unknown number of pages. If she read 5 less than a third of the pages in the first week, how would you write this?

• 3x - 5

• x/3 + 5

• x/3 - 5

• 3x + 5

Bruce bought two books. One costs $4 more than three times the other. How do you express the cost of the more expensive book?

• x - 4

• x + 4

• 3x - 4

• 3x + 4

Janet is three years older than her sister Julie. If Julie's age is x, how would you express Janet's age?

• x/3

• 3x

• x - 3

• x + 3

The sum of three consecutive integers is 1623. If x is the smallest integer, what is the equation?

• x + (x+2) + (x+3) = 1623

• x + (x+1) + (x+3) = 1623

• x + (x+2) + (x+4) = 1623

• x + (x+1) + (x+2) = 1623

If the sum of two consecutive even integers divided by four is 189.5, what is the equation?

• (x + (x+4))/4 = 189.5

• (x + (x+3))/4 = 189.5

• (x + (x+1))/4 = 189.5

• (x + (x+2))/4 = 189.5