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Mathematics Quiz

Total questions: 75

Worksheet time: 18hrs 33mins

Name
Class
Date
1.

Solve the equation: 97 = -3(6n - 5) - 8

a)

16

b)

-2

c)

-5

d)

-10

2.

David is designing a triangular garden and needs to calculate the base length. The formula used to find the area of a triangle is A=12bhA=\frac{1}{2}bh . Solve the equation for b.

a)

b=2Ahb=\frac{2A}{h}

b)

b=12Ahb=\frac{1}{2}Ah

3.

Ava hired a plumber who charges a $50 flat rate and then $25 per hour in addition to that. If Ava's final bill is $300, how many hours did the plumber work?

a)

25

b)

10

c)

50

d)

15

4.

Sophia is trying to solve a math problem. Which of the following would make sense as a first step in solving the equation shown? 5x + 6 = 10 + 3x + 4x

a)

Combine 3x and 4x to get 7x on the right side of the equation.

b)

Combine 5x and 6 to get 11x on the left side of the equation.

c)

Add 6 and 10 to get 16.

d)

Add 4x to both sides of the equation.

5.

Solve for y. 4x - 2y = 6

a)

y = 2x + 6

b)

y = 2x + 3

c)

y = 2x - 3

d)

y = 2x - 6

6.
Write an equation to represent this word problem.
a)
5 + 4e = 25
b)
5 = 4e + 25
c)
5 + 4 + 25
d)
4 - 4e = 25
7.

A subscription to Spotify costs $10.99 per month.

Write an equation for the cost c of using Spotify for m months.

Your equation will have use: c, m, =, and 10.99

Start with c

(a)  

8.

Mrs. Woods buys pencils p for her classroom. Each pencil costs $0.10.

She spends a total of $686.30

Which equation represents how many pencils she buys?

a)

p - 686.30 = 0.10

b)

p0.10=686.30\frac{p}{0.10}=686.30

c)

0.10p = 686.30

d)

0.10 + p = 686.30

9.

Elko and his family are buying fries. Each order of fries costs $8.

Write an equation that represents the total cost c for buying f orders of fries.

a)

f = 8c

b)

c = 8f

c)

f = 8c\frac{8}{c}

d)

c = f8\frac{f}{8}

10.

Write an equation that fits this story.

a)

8 + 7 = 31

b)

7b + 8 = 31

c)

31b + 7 = 8

d)

8b + 7 = 31

11.

(EE.C.9a) Which equation represents this relationship?

a)

b)

c)

d)

12.

Seven more than the quotient of a number and 2 is 10.

a)

2/m + 7 = 10

b)

n/7 + 2 = 10

c)

n/2 + 7 = 10

d)

n/2 + 10 = 7

13.

Aiden has 9 apples and buys some more to have a total of 21 apples. How many apples did Aiden buy?

a)

10

b)

12

c)

11

d)

13

14.

David has $8 less than the amount he needs to buy a book. If he needs $5 more, how much money does he currently have? 

a)

13

b)

-13

c)

3

d)

-3

15.

James has 13 apples and receives more apples to have a total of 21 apples. How many apples did he receive?

a)

m=34

b)

m=8

c)

m=273

d)

m=6

16.

Liam has 7 apples. He receives more apples, making his total 10. How many apples did he receive?
y - 7 = 10

a)

17

b)

-3

c)

3

d)

-17

17.
k+8=15
a)
k=23
b)
k=10
c)
k=7
d)
k=11
18.

7 + g = 11

a)

g = 4

b)

g = -4

c)

g = 18

d)

g = -18

19.

Samuel has $4.60 and he finds $12 more. How much money does he have now?

a)

16.6

b)

5.8

c)

7.4

d)

Answer not Given

20.

Aiden has $12 and receives some more money, making his total $20. How much money did Aiden receive?

a)

$32

b)

$-32

c)

$8

d)

$-8

21.

Abigail bought a book for $19.46 and paid a total of $245.3. How much money did she have initially?

a)

264.76

b)

12.6

c)

50.7

d)

225.84

22.

Zoe has a collection of x marbles. She gives away 6x marbles to her friend and loses 8x marbles. She finds 7 marbles later. How many marbles does she have now?

a)

-9x + 7

b)

10x + 7

c)

9x + 7

d)

9x - 7

23.

Emma is buying 5 packs of pencils, each containing (2 - 7n) pencils. How many pencils does she have in total?

a)

10 - 35n

b)

10 - 7n

c)

52 - 57n

d)

10 + 35n

24.

Priya is organizing her bookshelf. She has 13y books on history, 21x books on science, and 2x books on literature. How many books does she have in total?

a)

13y + 23x + 3

b)

-13y - 19x - 3

c)

-13y + 18 + 3

d)

13y + 18x + 3

25.

Avery has w apples. If Avery receives w more apples from Emma and w more from Samuel, what is the total number of apples Avery has now?

a)

3w

b)

3

c)

w

d)

0

26.

James is building a triangular garden. Write an expression, in simplest form, to represent the perimeter of the triangle.

a)

3x + 10

b)

x3+10x^3 + 10  

c)

3x + 24

d)

x3+24x^3 + 24  

27.

Abigail is buying packs of markers for her art class. Each pack contains 4 markers. If she buys 6 packs, how many markers does she have in total?

a)

20f

b)

12f + 8

c)

24f + 8

d)

28 + f

28.

Arjun is buying m number of books, each costing $42. He also has a discount coupon of $60. What is the total cost he has to pay?

a)

42m - 72

b)

49m - 60

c)

42m - 60

d)

42m - 12

29.

Avery has 4 apples, Zoe gives her 5 more apples, and then she gives 3 apples to Priya. How many apples does Avery have now?

a)

6 apples

b)

12 apples

c)

9 apples

d)

7 apples

30.

Oliver is buying supplies for a project. He needs 3 packs of markers, each containing 2 markers and 4 erasers. If he already has 5 markers, how many markers will he have in total?

a)

6 markers + 12 erasers - 5 markers

b)

1 marker + 12 erasers

c)

6 markers + 12 erasers

d)

1 marker - 12 erasers

31.

Abigail has 8 candies, she gives away 2 candies and then receives 3 more candies. How many candies does Abigail have now?

a)

9 candies

b)

13 candies

c)

11 candies

d)

7 candies

32.

Zoe is buying supplies for a school project. She needs 7 packs of markers, each containing 3 markers, and 4 extra markers. How many markers does she have in total?

a)

21 markers - 14 + 4 markers

b)

25 markers - 14

c)

21 markers - 2

d)

25 markers + 2

33.

Grace has 9y apples, she gives away 4y apples and then receives 6y more apples. How many apples does Grace have now?

a)

11y

b)

19y

c)

15y

d)

10y

34.

Michael is buying supplies for a project. He needs 2 packs of markers, each containing 5 markers, and 3 markers for another task. Simplify the expression to find out how many markers Michael needs in total: 2(5z + 3) - 3z

a)

10z + 6 - 3z

b)

7z + 6

c)

10z + 3

d)

7z - 3

35.

Emma is buying supplies for a school project. She needs 4 packs of markers, each containing 3 markers, and 5 extra markers. If she already has 2 markers, how many markers does she have in total?

a)

12 markers + 20 - 2 markers

b)

10 markers + 20

c)

12 markers + 5

d)

10 markers - 5

36.

Rohan is buying 6 packs of pencils, each containing (2y - 3) pencils, and he already has 4y pencils at home. How many pencils does he have in total?

a)

12y - 18 + 4y

b)

16y - 18

c)

12y - 3

d)

16y + 3

37.

Aria has 5 apples, Hannah gives her 3 more apples, and then Aria gives 2 apples to Jackson. How many apples does Aria have now?

a)

6 apples

b)

8 apples

c)

10 apples

d)

5 apples

38.

Olivia has 7b apples, David gives her 2b more apples, and then she gives away 5b apples. How many apples does Olivia have now?

a)

4b

b)

9b

c)

14b

d)

5b

39.

David is buying supplies for a project. He needs 3 packs of pencils, each containing 4 pencils, and 2 extra pencils. How many pencils does he have in total?

a)

12 pencils + 2 pencils

b)

14 pencils

c)

12 pencils + 2

d)

14 pencils + 2

40.

Liam has 10m of ribbon, he gives 3m to Avery and then receives 8m more from Abigail. How much ribbon does Liam have now?

a)

15m

b)

21m

c)

18m

d)

13m

41.

Priya has 11q apples, she gives away 5q apples and then receives 2q more apples. How many apples does Priya have now?

a)

8q

b)

6q

c)

9q

d)

7q

42.

William is buying 3 packs of a product, each containing 5 apples, 2 bananas, and 1 orange less than the total. Calculate the total number of fruits he buys.

(a)  

43.

Priya has 5x apples and gives away 4 apples. Then she receives 14 more apples but gives away 7x apples. How many apples does Priya have now?

(a)  

44.

Ava is buying packs of pencils. Each pack contains 4 pencils. How would you express the total number of pencils Ava buys if she buys a certain number of packs?

(a)  

45.

m(2m  2p) + 3m\left(2m\ -\ 2p\right)\ +\ 3

a)

2m2 2mp + 32m^2\ -2mp\ +\ 3  

b)

2mm  2mp +32mm\ -\ 2mp\ +3  

c)

m2 +2mp 3m^2\ +2mp\ -3  

d)

2m2  2mp  32m^2\ -\ 2mp\ -\ 3  

46.

Liam is buying 3 packs of pencils, each containing (3x + 1) pencils. How many pencils does he have in total?

a)

9x + 3

b)

3x + 3

c)

12x

d)

9x + 1

47.
A letter that represents a number.
a)
Addition
b)
Expression
c)
Algebra
d)
Variable
48.
Simplify the expression:
8(5 + w)
a)
40 + w
b)
40+8w
c)
85 + 8w
d)
13+8w
49.

the alphabetic character that expresses a numerical value or a number.

(a)  

50.

Noah has 3 apples and buys 2 more apples. How many apples does Noah have in total?

a)

5 apples

b)

1 apple

c)

6 apples

d)

5

51.
a + a + a + a
a)
a + 4 
b)
4a 
c)
a to the fourth power 
d)
4a + 4 
52.
-6k + 7k=
a)
k
b)
-k
c)
12k
d)
-12k
53.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
54.

Simplify by combining like terms:

3x-5x

a)

2x

b)

8x

c)

-2x

d)

15x2

55.
5a + 2a + 2a 
a)
9a
b)
8a
c)
7a
56.
6x + 2x + 1 + 4
a)
8x + 5 
b)
2x - 3
c)
4x - 2
d)
8x + 12 
57.
-v +12v
a)
11v
b)
-9v
c)
0
d)
11
58.

Use the distributive property to simplify the expressions: 12(3u+7)12\left(3u+7\right)  

a)

9u+59u+5  

b)

15u+1915u+19  

c)

36u+8436u+84  

d)

14u+712\frac{1}{4}u+\frac{7}{12}  

59.
Which of the following is equivalent to    8h +7(2 + 4h)?
a)
90h
b)
12h + 14
c)
50h
d)
36h +14
60.
Which of the following is equivalent to 8(5f - 7) + 3f ?
a)
43f - 7
b)
-13f
c)
43f - 56
d)
40f -7 + 3f
61.
4(x + 2) + 6x
a)
4x + 2 + 6x
b)
4x + 8 + 6x
c)
10x + 8
d)
10x + 2
62.

Simplify the following expression:

9 + 5m - 4

a)

5m-5

b)

10m

c)

5m+5

d)

5m+13

63.

Solve using distribution


-9(5x + 10)

(a)  

64.

Solve using distribution


-5x(9 + 2)


*remember to combine like terms!

(a)  

65.

Solve using distribution

4(10x + 2y)

(a)  

66.

Solve using distribution

12(-2 + 3x)

(a)  

67.

What is the answer when you distribute?

4(x+12)=16

 



(a)  

68.

The Bayside Bugle charges by the word to run automotive ads. The newspaper charges $18 for the first 20 words, and $0.35 for each additional word. What is the cost of the 27-word ad?

a)

$20.45

b)

$27.45

c)

$45

d)

$9.45

69.
Which of the following situations could be descried by the equation y= -25x + 120
a)
There are 120 people in the football stadium, and 25 more are entering each hour.
b)
A plumber charges $25 for a house call and $120 per hour.
c)
A teacher has 120 students. Her third period has 25 students
d)
There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute
70.
A taxi charges $3, plus $1.50 for each mile traveled.  Mr. Lewis rode in the taxi from his home to the airport and was charged $30.  How many miles does Mr. Lewis live from the airport?
a)
18 miles
b)
20 miles
c)
22 miles
71.

Lucas has 15 oranges and buys some more to have a total of 25 oranges. How many oranges did Lucas buy?

a)

5

b)

10

c)

15

d)

20

72.

Solve for x. 3x + 5 = 20

a)

x = 5

b)

x = 10

c)

x = 15

d)

x = 20

73.

Emma has 5x pencils. She gives away 2x pencils and then buys 3x more pencils. How many pencils does Emma have now?

a)

6x

b)

5x

c)

7x

d)

8x

74.

Calculate the value of y in the equation: 4y + 3 = 19

a)

4

b)

5

c)

3

d)

6

75.

Olivia has 12z cookies. She eats 4z cookies and then bakes 5z more cookies. How many cookies does Olivia have now?

a)

13z

b)

11z

c)

9z

d)

8z