Free Printable Mathematics Quiz 2

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?

a)

$126

b)

$135

c)

$140

d)

$150

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.

a)

y = 10x + 25

b)

y = 25x + 10

c)

y = x + 35

d)

y = 10x - 25

3.

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

a)

x = 15

b)

x = -15

c)

x = 1

d)

x = -1

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?

a)

A curved line going up

b)

A straight line increasing or decreasing

c)

A scatterplot of dots

d)

A bar graph with labels

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?

a)

$1 per mile

b)

$2 per mile

c)

$3 per mile

d)

$0.50 per mile

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?

a)

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

b)

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

c)

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

d)

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

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.

a)

8

b)

10

c)

11

d)

7

8.

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

a)

As one variable increases, the other decreases.

b)

As one variable increases, the other stays the same.

c)

As one variable increases, the other increases.

d)

No pattern exists.

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?

a)

$y=-2x+5$

b)

$y=2x+5$

c)

$y=5x-2$

d)

$y=-2x-5$

10.

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

a)

$h\le10$

b)

$h<10$

c)

$h\ge10$

d)

$h>10$

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?

a)

16

b)

18

c)

21

d)

24

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?

a)

2

b)

1

c)

4

d)

6

13.

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

a)

3

b)

5

c)

-3

d)

-5

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?

a)

$y=50x+10$

b)

$y=10x+50$

c)

$y=50-10x$

d)

$y=10-50x$

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?

a)

$x\ge10$

b)

$x\ge8$

c)

$x\ge12$

d)

$x\ge14$

16.

A rectangle has a length of $2x+3$ and a width of $x-1$ . If the area of the rectangle is 20 square units, what is the value of x?

Hint: Area = Length × Width

a)

2

b)

3

c)

4

d)

5

17.

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

a)

$x+12$

b)

$x+8$

c)

$x+4$

d)

$x+2$

18.

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

a)

3

b)

7

c)

9

d)

11

19.

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?

a)

$x\ge2$

b)

$x\ge3$

c)

$x\ge4$

d)

$x\ge5$

20.

Which of the following equations is in standard form?

a)

$3x−4y=12$

b)

$y=2x+3$

c)

$y−5=2(x+1)$

d)

$x^2+y^2=25$

21.

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?

a)

3

b)

-5

c)

5

d)

-3

22.

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?

a)

-2

b)

x

c)

7

d)

y

23.

Which of the following is an inequality?

a)

$y=2x+4$

b)

$3x-1=8$

c)

$x+5$

d)

$x>5$

24.

Which of the following equations represents the graph shown above?

a)

$y=3$

b)

$x=3$

c)

$y=3x$

d)

$x=y+3$

25.

Which of the following equations represents the graph shown above?

a)

$y=−x+10$

b)

$y=x+10$

c)

$y=−x−10$

d)

$y=x−10$

26.

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

a)

7

b)

8

c)

9

d)

10

27.

Which of the following equations represents the graph shown above?

a)

$y=x^2−4x−5$

b)

$y=−x^2+4x+5$

c)

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

d)

$y=−x^2−4x−5$

28.

What is the solution to the system:

$3x+2y=10$

$x-\ y=2$

a)

$x=2,\ y=1$

b)

$x=3,\ y=1$

c)

$x=4,\ y=2$

d)

$x=1,\ y=2$

29.

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

a)

$y=2$

b)

$y=-2$

c)

$y=5$

d)

$y=-3$

30.

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?

a)

$t>6$

b)

$t\ge6$

c)

$t<6$

d)

$t\le6$

31.

Solve for x:

$4x-9=3x+7$

a)

$x=16$

b)

$x=10$

c)

$x=7$

d)

$x=9$

32.

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

a)

$\frac{3}{2}$

b)

2

c)

3

d)

$\frac{5}{2}$

33.

Solve the system of equations:

$2x+3y=12$

$x-y=2$

a)

(4 , 2)

b)

(3, 1)

c)

(2, 3)

d)

(5, 3)

34.

Which of the following represents a function?

a)

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

b)

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

c)

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

d)

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

35.

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

a)

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

b)

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

c)

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

d)

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

36.

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 $5\left(2x+3\right)$ ?

a)

$10x+15$

b)

$10x+3$

c)

$7x+15$

d)

$7x+3$

37.

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

a)

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

b)

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

c)

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

d)

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

38.

Solve for x:

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

a)

$x=5,\ x=-1$

b)

$x=4,\ x=-5$

c)

$x=2,\ x=-2$

d)

$x=3,\ x=-3$

39.

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

a)

(4, 5)

b)

(5, 4)

c)

(-4, 5)

d)

(4, -5)

40.

What is the next term in the geometric sequence 3, 9, 27, 81,…?

a)

162

b)

243

c)

324

d)

405

41.

What is the next term in the geometric sequence 64, 32, 16, 8,…?

a)

4

b)

2

c)

1

d)

.05

42.

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?

a)

C = 50 + 0.20m

b)

C = 0.20m

c)

C = 50m + 0.20

d)

C = 50m

43.

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

a)

$x\le4$

b)

$x\ge4$

c)

$x\le-4$

d)

$x\ge-4$

44.

What type of solution does this system have?

$y=2x+3$

$y=2x−4$

a)

No Solution

b)

One Solution

c)

Infinite Solution

d)

Zero Solution

45.

What type of solution does this system have?

$2x+3y=6$

$4x+6y=12$

a)

No Solution

b)

One Solution

c)

Infinite Solution

d)

Zero Solution

46.

Factor:

$2x^2-9x+10$

a)

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

b)

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

c)

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

d)

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

47.

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

a)

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

b)

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

c)

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

d)

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

48.

Use the graph:

a)

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

b)

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

c)

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

d)

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

49.

Which graph represents the solution to the inequality?

$x+6\le-9$

a)

b)

c)

d)

50.

Which of the following is the graph of

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

a)

b)

c)

d)

Mathematics Quiz 2

Total questions: 50

Worksheet time: 2hrs 33mins

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