Quiz about Mathematics Quiz 2

Question 1

Alex earns $18.75 per hour. He worked 7.2 hours on Tuesday. How much did he earn?

Would you like to try another example or need help with something else?

Accepted Answer

$135

Answer

$126

Answer

$140

Answer

$150

Question 2

Oliver wants to join a gym that charges $25 as a joining fee and $10 per month. Write an equation that represents this situation, where x is the number of months.

Accepted Answer

y = 10x + 25

Answer

y = 25x + 10

Answer

y = x + 35

Answer

y = 10x - 25

Question 3

Solve the equation: 3x - 7 = 2x + 8

Accepted Answer

x = 15

Answer

x = -15

Answer

x = 1

Answer

x = -1

Question 4

Ava is monitoring the temperature in her greenhouse. Which statement best describes the graph of the temperature if it changes at a constant rate throughout the day?

Accepted Answer

A straight line increasing or decreasing

Answer

A curved line going up

Answer

A scatterplot of dots

Answer

A bar graph with labels

Question 5

David is planning a road trip and wants to budget for taxi rides. The graph below shows the cost of a taxi ride as a function of distance traveled. What is the rate of change?

Accepted Answer

$2 per mile

Answer

$1 per mile

Answer

$3 per mile

Answer

$0.50 per mile

Question 6

Daniel is planning to build a square garden. The area of the garden is represented by the expression $$x^2+6x+9$$ . What are the possible dimensions of the garden?

Accepted Answer

$$\left(x+3\right)\left(x+3\right)$$

Answer

$$\left(x+1\right)\left(x+9\right)$$

Answer

$$\left(x-3\right)\left(x-3\right)$$

Answer

$$\left(x+2\right)\left(x+4\right)$$

Question 7

James is planning a road trip and calculates the total cost of fuel using the formula $$f\left(x\right)=2x+3$$ , where $$x$$ is the number of gallons of fuel he needs. Find the total cost if he needs $$4$$ gallons of fuel.

Accepted Answer

11

Answer

8

Answer

10

Answer

7

Question 8

A scatterplot graph shows a positive linear trend. Which of the following is most likely true?

Accepted Answer

As one variable increases, the other increases.

Answer

As one variable increases, the other decreases.

Answer

As one variable increases, the other stays the same.

Answer

No pattern exists.

Question 9

Isla is planning a garden and wants to create a sloped path. She decides that the path should have a slope of -2 and start at a height of 5 meters above the ground. Which of the following equations represents the path's height at any point?

Accepted Answer

$$y=-2x+5$$

Answer

$$y=2x+5$$

Answer

$$y=5x-2$$

Answer

$$y=-2x-5$$

Question 10

This inequality represents this situation: Mia must study more than 10 hours to pass the exam. Let h represent hours.

Accepted Answer

$$h>10$$

Answer

$$h\le10$$

Answer

$$h<10$$

Answer

$$h\ge10$$

Question 11

A taxi company charges a flat fee of $5 plus $2 per mile traveled. If a customer travels 8 miles, what is the total fare?

Accepted Answer

21

Answer

16

Answer

18

Answer

24

Question 12

Rohan is tracking his progress on a hiking trail. He starts at an elevation of 3 meters and reaches an elevation of 11 meters after walking 4 meters horizontally. What is the slope of the trail?

Accepted Answer

2

Answer

1

Answer

4

Answer

6

Question 13

Consider the linear equation $$y=3x+5$$ What is the y-intercept of the graph of this equation?

Accepted Answer

5

Answer

3

Answer

-3

Answer

-5

Question 14

Sarah is saving money to buy a new bicycle. She already has $50 saved and plans to save an additional $10 each week. Which equation represents the total amount of money yy Sarah will have saved after xx weeks?

Accepted Answer

$$y=10x+50$$

Answer

$$y=50x+10$$

Answer

$$y=50-10x$$

Answer

$$y=10-50x$$

Question 15

John wants to buy a new laptop that costs $800. He currently has $300 saved and plans to save an additional $50 each week. What is the minimum number of weeks x John needs to save to have enough money to buy the laptop?

Accepted Answer

$$x\ge10$$

Answer

$$x\ge8$$

Answer

$$x\ge12$$

Answer

$$x\ge14$$

Question 16

Simplify the following expression: $$3(2x+4)−5x$$

Accepted Answer

$$x+12$$

Answer

$$x+8$$

Answer

$$x+4$$

Answer

$$x+2$$

Question 17

Given the function $$f(x)=2x^2−3x+5$$ , what is the value of $$f\left(2\right)$$ ?

Accepted Answer

7

Answer

3

Answer

9

Answer

11

Question 18

Maria is planning a party and needs to buy enough chairs for her guests. She already has 10 chairs and expects 25 guests. She can buy chairs in packs of 5. How many packs of chairs does Maria need to buy to ensure she has enough chairs for all her guests?

Accepted Answer

$$x\ge3$$

Answer

$$x\ge2$$

Answer

$$x\ge4$$

Answer

$$x\ge5$$

Question 19

Which of the following equations is in standard form?

Accepted Answer

$$3x−4y=12$$

Answer

$$y=2x+3$$

Answer

$$y−5=2(x+1)$$

Answer

$$x^2+y^2=25$$

Question 20

Luna is planning to build a ramp for her skateboard. The equation of the ramp's incline is given by $$y=3x-5$$ . What is the rate of change of the ramp?

Accepted Answer

3

Answer

-5

Answer

5

Answer

-3

Question 21

Daniel is tracking his savings over time. He notices that his savings can be represented by the equation $$y=2x+7$$ , where y is the total savings and x is the number of weeks. Which term represents the initial amount of savings Daniel had?

Accepted Answer

7

Answer

-2

Answer

x

Answer

y

Question 22

Which of the following is an inequality?

Accepted Answer

$$x>5$$

Answer

$$y=2x+4$$

Answer

$$3x-1=8$$

Answer

$$x+5$$

Question 23

Which of the following equations represents the graph shown above?

Accepted Answer

$$x=3$$

Answer

$$y=3$$

Answer

$$y=3x$$

Answer

$$x=y+3$$

Question 24

Which of the following equations represents the graph shown above?

Accepted Answer

$$y=−x+10$$

Answer

$$y=x+10$$

Answer

$$y=−x−10$$

Answer

$$y=x−10$$

Question 25

Consider the function $$f\left(x\right)=2x+1$$ . Use the chart below to find the value of $$f\left(4\right)$$ .

Accepted Answer

9

Answer

7

Answer

8

Answer

10

Question 26

Which of the following equations represents the graph shown above?

Accepted Answer

$$y=−x^2−4x−5$$

Answer

$$y=x^2−4x−5$$

Answer

$$y=−x^2+4x+5$$

Answer

$$y=x^2+4x+5$$

Question 27

What is the solution to the system:

$$3x+2y=10$$

$$x-\ y=2$$

Accepted Answer

$$x=3,\ y=1$$

Answer

$$x=2,\ y=1$$

Answer

$$x=4,\ y=2$$

Answer

$$x=1,\ y=2$$

Question 28

What is the solution to the equation $$y=-3x+5$$ when $$x=1$$ ?

Accepted Answer

$$y=2$$

Answer

$$y=-2$$

Answer

$$y=5$$

Answer

$$y=-3$$

Question 29

Sarah is a high school student who is preparing for her final exams. Her teacher advised her to study for no more than 6 hours each day to avoid burnout. Sarah wants to make sure she follows this advice.
Which inequality represents the maximum amount of time Sarah should study each day?

Accepted Answer

$$t\le6$$

Answer

$$t>6$$

Answer

$$t\ge6$$

Answer

$$t<6$$

Question 30

Solve for x:

$$4x-9=3x+7$$

Accepted Answer

$$x=16$$

Answer

$$x=10$$

Answer

$$x=7$$

Answer

$$x=9$$

Question 31

What is the slope of the line passing through the points (1, 2) and 3, 8)?

Accepted Answer

3

Answer

$$\frac{3}{2}$$

Answer

2

Answer

$$\frac{5}{2}$$

Question 32

Solve the system of equations:

$$2x+3y=12$$

$$x-y=2$$

Accepted Answer

(4 , 2)

Answer

(3, 1)

Answer

(2, 3)

Answer

(5, 3)

Question 33

Which of the following represents a function?

Accepted Answer

{(1,2),(2,3),(3,4),(4,5)}

Accepted Answer

{(1,2),(2,3),(3,4),(4,4)}

Answer

{(1,2),(2,3),(2,4),(3,5)}

Answer

{(1,2),(2,3),(3,4),(3,5)}

Question 34

Simplify: $$\left(2x^3y^2\right)\left(3x^2y^4\right)$$

Accepted Answer

$$\left(6x^5y^6\right)$$

Answer

$$\left(5x^6y^8\right)$$

Answer

$$\left(6x^6y^6\right)$$

Answer

$$\left(6x^5y^8\right)$$

Question 35

Alex is planning a party and needs to buy decorations. He finds that the total cost of decorations can be represented by the expression $$5\left(2x+3\right)$$ , where x is the number of decoration packs he buys. Alex wants to simplify this expression to make it easier to calculate the total cost.

What is the simplified form of the expression $$5\left(2x+3\right)$$ ?

Accepted Answer

$$10x+15$$

Answer

$$10x+3$$

Answer

$$7x+15$$

Answer

$$7x+3$$

Question 36

Factor: $$x^2-5x+6$$

Accepted Answer

$$\left(x-3\right)\left(x-2\right)$$

Answer

$$\left(x+3\right)\left(x+2\right)$$

Answer

$$\left(x-6\right)\left(x+1\right)$$

Answer

$$\left(x-4\right)\left(x-1\right)$$

Question 37

Solve for x:

$$x^2-4x-5=0$$

Accepted Answer

$$x=5,\ x=-1$$

Answer

$$x=4,\ x=-5$$

Answer

$$x=2,\ x=-2$$

Answer

$$x=3,\ x=-3$$

Question 38

What is the vertex of the quadratic function $$y=\left(x-4\right)^2-5$$ ?

Accepted Answer

(4, -5)

Answer

(4, 5)

Answer

(5, 4)

Answer

(-4, 5)

Question 39

Ava is planning a road trip and rents a car from a rental company that charges a $50 flat fee plus $0.20 per mile driven. Which equation represents the total cost, C, for driving m miles?

Accepted Answer

C = 50 + 0.20m

Answer

C = 0.20m

Answer

C = 50m + 0.20

Answer

C = 50m

Question 40

What is the solution to the inequality $$5x-3\le2x+9$$ ?

Accepted Answer

$$x\le4$$

Answer

$$x\ge4$$

Answer

$$x\le-4$$

Answer

$$x\ge-4$$

Question 41

What type of solution does this system have?

$$y=2x+3$$

$$y=2x−4$$

Accepted Answer

No Solution

Answer

One Solution

Answer

Infinite Solution

Answer

Zero Solution

Question 42

What type of solution does this system have?

$$2x+3y=6$$

$$4x+6y=12$$

Accepted Answer

Infinite Solution

Answer

No Solution

Answer

One Solution

Answer

Zero Solution

Question 43

Factor:

$$2x^2-9x+10$$

Accepted Answer

$$\left(2x-5\right)\left(x-2\right)$$

Answer

$$\left(x-5\right)\left(x-2\right)$$

Answer

$$\left(x-4\right)\left(x-10\right)$$

Answer

$$\left(x-1\right)\left(x+20\right)$$

Question 44

Which equation has a slope of $$-\frac{2}{7}$$ and contains the point (-5, -6)?

Accepted Answer

$$y+6=-\frac{2}{7}\left(x-5\right)$$

Answer

$$y-6=-\frac{2}{7}\left(x+5\right)$$

Answer

$$y+5=-\frac{2}{7}\left(x-6\right)$$

Answer

$$y-5=-\frac{2}{7}\left(x+6\right)$$

Question 45

Use the graph:

Accepted Answer

$$f\left(x\right)=-\frac{1}{3}x+1$$

Answer

$$f\left(x\right)=-\frac{1}{3}x+3$$

Answer

$$f\left(x\right)=-3x+1$$

Answer

$$f\left(x\right)=-3x+3$$

Question 46

Which graph represents the solution to the inequality?

$$x+6\le-9$$

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 47

Which of the following is the graph of

$$f\left(x\right)=-x^2-6x+3$$ ?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Mathematics Quiz 2

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