Writing Algebraic Expressions

Which expression represents “5 less than twice x”?

• 2x - 5

• 5 - 2x

• 2(5 - x)

• 2(x - 5)

Simplify 2(3x - 4) - 2x

• 6x - 8

• 4x + 8

• 4x - 8

• -8x - 8

Which expression represents "the quotient of a number and three, increased by one"?

• 3x + 1

• $\frac{x}{3}+1$

• $\frac{3}{x}+1$

• 1 + 3x

Simplify 8 - (3x - 4)

• -3x - 12

• -3x + 12

• 5x - 4

• x

Which expression represents "the product of eight and seven less than a number"?

• 8x - 7

• $x-8\cdot7$

• $8\cdot7-x$

• 8(x - 7)

Simplify -2(4x - 1) - (-3x + 1)

• -5x + 1

• -11x + 1

• 5x - 3

• 2x

Marie currently has a collection of 58 stamps. If she buys s stamps each week for w weeks, which expression represents the total number of stamps she will have?

• 58sw

• 58 + sw

• 58s + w

• 58 + s + w

5x - 4 subtracted from x - 1

• 4x - 3

• -4x - 5

• -4x + 3

• 4x + 3

Tim ate four more cookies than Alice. Bob ate twice as many cookies as Tim. If x represents the number of cookies Alice ate, which expression represents the number of cookies Bob ate?

• 2 + (x + 4)

• 2x + 4

• 2(x + 4)

• 4(x + 2)

Marcy determined that her father's age is four less than three times her age. If x represents Marcy's age, which expression represents her father's age?

• 3x - 4

• 3(x - 4)

• 4x - 3

• 4 - 3x