Apps Final Review

A computer repairperson charges a flat fee of $65 for a service call and an additional $45 per hour. The total charge can be calculated using the formula T = 65 + 45h. What is the total charge if the repairperson worked a total of 2 hours?

$ 155

You have a balance of $385.00 in your checking account. You write a check for $40.00. Then you deposit your paycheck of $125.50. What is the new balance in your checkbook?

$470.50

The number of adult books sold can be represented as 2x^2 + 4x -6. The number of juvenile books sold is 10x + 26. Which polynomial represents how many more adult books were sold compared to juvenile books?

2x^2- 6x - 32

Jarell works part time for a moving company. One day he had to move 34 boxes from a truck to inside a house. After moving some boxes, he took a break and told his boss that he has only 15 more boxes to move. Which equation can be solved to find how many boxes Jarell moved before his break?

34-x=15

In a community of 60,000 people, 143 out of 220 randomly selected people responded that they prefer taking math class than having summer vacation. How many people in the community can be expected to prefer to take math class?

39,000

Setira runs a side business where she makes parachute pants. Ever since MC Hammer went bankrupt, her business has been struggling. If three pairs of parachute pants costs $115.56, including $7.56 sales tax, which equation could be used to find the cost of one pair of pants?

3x + 7.56 = 115.56

Luke is 29 years old. His age is 3 years less than 4 times his daughter Jenah's age. The solution to which equation will give Jenah's age?

4x - 3 = 29

The revenue for a local company is modeled by the polynomial 8x^2 + 15x + 40. The cost is modeled by the polynomial 3x^2 + 5x - 20. Which polynomial represents the total profit?

5x^2 + 10x + 60

Thomas runs a wiffle ball camp. To join his camp, you must first pay a membership fee of $20. Thomas charges members $6.00 per hour. If your mom gives you $56 to spend at the camp, how many hours can you stay?

6 hours

Given Length = 2x + 5 Width = x + 3 Find the perimeter of the rectangle.

6x + 16

Ms. Sillman runs a tutoring center where she charges students $75 per hour, plus a membership fee of $50. If Ms. Sillman charges a student no less than $650, which inequality could be used to find how many hours the student was at her center?

75x + 50 ≥ 650

A rectangle has width w and its length is 2 units shorter than 3 times the width, or 3w - 2. Write a polynomial for the perimeter of the rectangle.

8w - 4

The number of states that entered the Union in 1889 was half the number of states, s, that entered in 1788. Which expression shows the number of states that entered the Union in 1889?

s ÷ 2

A rectangle has width w and its length is 2 units longer than the width, or w + 2. Write a polynomial for the area of the rectangle.

w^2 + 2w

A new sports vehicle costs no more than $35,000, including options. If the options costs $8,523, which inequality could be used to find the cost of the car without options?

x + 8,523 ≤ 35,000

Given Length = x +5 Width = x -5 Find the area of the rectangle

x^2 - 25

The weight of a car is modeled with the polynomial x^2 +10x+200 The weight of a truck is modeled with the polynomial x^3 -x +100 Which polynomial represents the combined weight of the car and truck?

x^3 +x^2+9x+300

If the length of a rectangle is 5 cm less than twice the width, what is the length?

2w - 5

A bag contains 3 black, 2 blue, and 4 red pens. What is the theoretical probability of picking a black pen from the bag?

1/3

Kiara is rolling a pair of dice. What is the probability of rolling a two on the first die and a six on the second die?

1/36

Ms. Porch asks Amir to randomly select a card from a standard deck of 52 cards. What is the probability of Amir selecting the 9 of clubs?

1/52

Alixandra is flipping a coin. What is the probability of landing on heads three times in a row?

1/8

Luis works as a salesman at P.C. Richards. He earns $1,200 per month, plus a commission of 7% of his total sales. Which inequality would be used to find how much Luis must sell to have a monthly income of at least $2,700?

1200 + .07x ≥ 2,700

If the perimeter of a rectangle is 10x + 5 meters, what is the perimeter when x = 12?

125 meters

What is the grade of a road that rises 12 feet for every horizontal distance of 80 feet? (The grade of a road is given as a percent.)

15%

Pennsylvania entered the union in 1787. North Carolina entered the Union x years after Pennsylvania. Which expression shows the year North Carolina entered the Union?

1787 + x

The expressions f - 25 represents the year Alabama entered the Union, where f is the year Florida entered. If Florida entered the union in 1845, which year did Alabama enter the Union?

1820

Haily spent $24 on skating. This included a $6 charge for renting skates and a $2.25 per hour fee for skating. Which equation can be solved to find the number of hours t that Haily spent skating?

24 = 2.25t + 6

Which equation below is used to model the profit of a company, given the revenue and cost?

P = Revenue - Cost

When graphing an equation that models a real-life application, what is the only quadrant we use for our final graph?

Quadrant 1