Unit 2 Review Creating Expressions and Equations

A rocket is launched into the air. An expression for the height of the rocket in meters after t seconds is −16t² + 12t + 3. Which of the following are coefficients in the given expression? Select all that apply.

−16t² + 12t + 3

• −16

• −16t²

• 12

• 12t

• 3

A rocket is launched into the air. An expression for the height of the rocket in meters after t seconds is −16t² + 12t + 3. Which of the following are variable terms in the given expression? Select all that apply.

−16t² + 12t + 3

• −16

• −16t²

• 12

• 12t

• 3

A rocket is launched into the air. An expression for the height of the rocket in meters after t seconds is −16t² + 12t + 3. Which of the following is the constant term in the given expression?

−16t² + 12t + 3

• −16

• −16t²

• 12

• 12t

• 3

An electronics repair company charges a flat fee of $25 plus $30 per hour and 15 dollars per screen replacement. Which expression represents the company’s total charges based on x hours and s, screen replacement?

• 30x + 15s + 25

• 25x + 15s + 30

• 15x + 25s + 30

• 30x(s + 15)

Robert graduates from a technical school and finds a welding job that pays $20 per hour. He always works at least 40 hours in a given week. When he works overtime, he gets 1.5 times his regular hourly pay. His overtime pay can be represented by h, the number of hours greater than 40 he works in a week. Which expression reflects the amount of money Robert earns in a week?

• 20h + 40

• 1.5h + 40

• 30h + 800

• 1.5h + 800

Translate the phrase to an algebraic expression. The quotient of the sum of twice a number and six and the difference of the number and five.

• (x + 6) / 2(x − 5)

• 2(x + 6) / (x − 5)

• (x − 5) / (2x + 6)

• (2x + 6) / (x − 5)

Javier and Chris are at a Grizzlies baseball game. Javier bought two tubs of popcorn for $20 and four drinks, for a total of $44. Chris bought a hot dog for $7 and three drinks, for a total of $25. If x represents the cost of a drink, select an equation that represents Javier and Chris’ purchase?

• 4x + 20 = 44 for Chris' purchase.

• 4x + 20 = 44 for Javier's purchase.

• 3x + 7 = 25 for Chris' purchase.

• 3x + 7 = 25 for Javier's purchase.

Jim buys $30 of PexCorp stock that increases $0.25 a day. Larry buys $40 of DepCom stock that increases $0.05 per day. Create expression to represent Jim and Larry’s purchases. Using your equations, evaluate the value of both stocks 100 days from now.

• Jim's stock can be represented by the expression:

  .25x + 30

• Jim's stock can be represented by the expression:

  30x + .25

• Larry's stock can be represented by the expression:

  .05x + 40

• In a 100 days, Larry's stock value will be $55

• In a 100 days, Jim's stock value will be $55

Juliana purchased sandwiches and Gatorades for herself and her friends. Each sandwich cost $8.50. The sale on Gatorades was $10. The total cost of the meal was $44. Create an equation that represents Juliana’s purchase.

• 8.50x − 10 = 44

• 8.50x + 10 = 44

• 8.50x + 44 = 10

• 10x + 8.50 = 44

Juliana purchased sandwiches and Gatorades for herself and her friends. Each sandwich cost $8.50. The sale on Gatorades was $10. The total cost of the meal was $44. How many sandwiches did Juliana buy?.

• 3

• 4

• 5

• 6