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Algebra Quiz (Introduction)

Total questions: 50

Worksheet time: 1hrs 19mins

Name
Class
Date
1.

Consider the expression 2a25b+12a^2-5b+1 .  Which one of the following statements is true?

a)

The coefficient of  aa  is 2.

b)

The constant term is 1.

c)

The coefficient of b is 5.

d)

The coefficient of  aa  is 4.

2.

What is the algebraic expression for "half the sum of two times of x and 3" ?

a)

 2x+62\frac{2x+6}{2}  

b)

 x+3x+3  

c)

 2x+32\frac{2x+3}{2}  

d)

 2(x3)2\frac{2\left(x-3\right)}{2}  

3.

Simplify: 12x + 4y - 3x

a)

9x + 4y

b)

16xy - 3x

c)

13xy

d)

12x + y

4.

Find the value of 5 - 3a2 given a = 2.

a)

2

b)

-1

c)

-7

d)

8

5.

Simplify:   (12ab)÷(24a2)\left(12ab\right)\div\left(24a^2\right)  

a)

2ab

b)

 b2\frac{b}{2}  

c)

 ab2\frac{ab}{2}  

d)

 b2a\frac{b}{2a}   

6.

Simplify:

(3a) ÷ (6b)

a)

qb\frac{q}{b}

b)

a2b\frac{a}{2b}

c)

2ab\frac{2a}{b}

d)

ab2\frac{ab}{2}

7.
57 x 54 is equal to:
a)
528
b)
53
c)
2511
d)
511
8.
Which of the following statements is true?
a)
The constant term in the expression 5x+7 is 5.
b)
16xy and 5yx are unlike terms.
c)
The highest common factor of 12abc and 16c is 2c.
d)
The coefficient of xy in the expression 3x+2y is 0.
9.
Determine the value of a:
a4 ÷ a1 = 27
a)
9
b)
3
c)
5
d)
-3
10.

5a + 5 - 4a - 4 - a - 1 equals:

a)

a - 1

b)

1

c)

2 - a

d)

0

11.

What is the coefficient of x in the algebraic expression 7x + 6y + 4?

a)

4

b)

6

c)

7

d)

None of the above

12.

What is the algebraic expression for "the sum of n and 9"?

a)

n - 9

b)

n + 9

c)

9n

d)

 n9\frac{n}{9}  

13.

What is the algebraic expression for "the product of 34 and z" ?

a)

34z\frac{34}{z}

b)

z34\frac{z}{34}

c)

34z

d)

34 + z

14.

What is the algebraic expression for "take 10 away from s"?

a)

10 - s

b)

s + 10

c)

s - 10

d)

s10\frac{s}{10}

15.

Given that 4R = 16 , find the value of R.

a)

3

b)

4

c)

5

d)

6

16.

Simplify the algebraic expression 3x + 9x + 4x.

a)

16

b)

16x

c)

16 - x

d)

x - 16

17.

Simplify the algebraic expression 3x2+x2+x3x^2+x^2+x .  

a)

5X2

b)

6X+ X

c)

3X2 + 2X

d)

4X+X

18.

Simplify the algebraic expression 3x + 2x + 3y - 7y.

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

19.

If b = 4 and c = 5, what is the value of bc + b - c?

a)

20

b)

16

c)

18

d)

19

20.

Kamilah's weight has tripled since her first birthday. If w represents the amount Kamilah weighed on her first birthday, write an expression to show how much Kamilah weighs now.

a)

w+3w+3

b)

w3w^3

c)

3w3w

d)

w3\frac{w}{3}

21.

Marcus has four more dollars than Yaseen. If y is the amount of money Yaseen has, write an expression to show how much money Marcus has. 

a)

 y4y-4  

b)

 y+4y+4  

c)

 4y4y  

d)

 y4\frac{y}{4}  

22.

A number with no variable is called a...

a)

Coefficient

b)

Constant

c)

Term

d)

Expression

23.
Evaluate expression: -5a -b for a= -6 and b= 3
a)
33
b)
30
c)
27
d)
24
24.
Evaluate expression: 5a + b for a= 6 and b= 3
a)
33
b)
36
c)
30
d)
59
25.

Mario is missing half of his assignments. If a represents the number of assignments, write an expression to show how many assignments Mario is missing.

a)

2a2a

b)

a12a-\frac{1}{2}

c)

12a\frac{1}{2}a

d)

a+12a+\frac{1}{2}

26.

A guy pays his car installments for $ x per month for the first 6 months. This is followed by $ y each of the months after. If he completes the payment of his installment after 4 years, how much does he pay in total?

a)

$ 48y

b)

$ 48(x + y)

c)

$ 6x + $ 48 y

d)

$ 6x + $ 42y

27.

Thomas is q years old and his brother, James, is five years younger than him. His mother is three times the age of James while his dad is 6 years older than his mum. So how old is Thomas' father now?

a)

3q - 11

b)

3q - 21

c)

3q - 9

d)

3q + 1

28.

9 packets of chocolate are bring sold for $ x dollars while 12 packets of sweets are being sold for $ y dollars. So what is the total price for 3 packets of chocolate and 2 packets of sweets ?

a)

 x+y6\frac{x+y}{6}  

b)

 3x+6y24\frac{3x+6y}{24}  

c)

 4x+6y24\frac{4x+6y}{24}  

d)

 2x+y6\frac{2x+y}{6}  

29.
If a = 4 and b = 6, what is the value of 3a + 5b?
a)
40
b)
42
c)
44
d)
46
30.

Find the value of t - g,

when t = 6 and g = - 9

a)

15

b)

3

c)

69

d)

3-3

31.
The number in front of a variable is called the __________
a)
variable
b)
slope
c)
constant
d)
coefficient
32.

A letter in an expression or an equation that represents a number is called a ___________.

a)

inequality

b)

variable

c)

slope

d)

domain

33.

What are like terms?

a)

Terms that are nice to look at

b)

Terms with exactly the same variable and same exponent

c)

Terms with similar variables

d)

Terms that I enjoy

34.

 7xy+2xyxy-7xy+2xy-xy  =

a)

8xy

b)

-4xy

c)

-6xy

d)

6xy

35.

 6c+d+2c+3d6c+d+2c+3d  =

a)

8c+4d

b)

7c+5d

c)

12cd

d)

None of the above

36.

State the coefficient of mn in the following expression: n - 8mn + 7.

a)

1

b)

7

c)

8

d)

-8

37.

Which of the following options shows like terms?

a)

2x, xy

b)

4x2, 5x

c)

2x, - 10x

d)

x2y, xy2

38.

Simplify -9x + 5y + 8x - 4y.

a)

x - y

b)

-x + 9y

c)

0

d)

-x + y

39.

Simplify 3a + 4b + 2a + 5b.

a)

7a + 7b

b)

5a + 9b

c)

14ab

d)

None of the above

40.
What is the value of xy + 2z, when x = -2, y = 4 and z = -5
a)
-2
b)
28
c)
18
d)
-18
41.

a(a + 3) = ...

a)

2a + 3

b)

a2 + 3a

c)

a2 + 3

d)

2a2 + 3a

42.

2(x + y + 2x) = ...

a)

6x + 2y

b)

6x - 2y

c)

6x + y

d)

6x - y

43.

- (3 + x) = ...

a)

- x + 3

b)

x + 3

c)

- x - 3

d)

x - 3

44.

2(a + 1) + 3(a + 1) = ...

a)

5a + 3

b)

5a + 4

c)

5a + 5

d)

6a + 2

45.

Is the following expression expanded correctly or incorrectly?:


-10 (x + 5) = -10x + 50

a)

No, this is wrong!

b)

Yes, this is right!

46.

Evaluate when a = 15:

2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

47.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
48.
Expand and Simplify 4(x-1)+5
a)
4x-9
b)
4x+1
c)
4x-1
d)
4x+9
49.
Expand and Simplify 2(x+2)+5(x+3)
a)
6x+13
b)
5x+17
c)
7x+19
d)
8x+13
50.
Expand and Simplify 3(x+1)+5(x+2)
a)
8x+13
b)
7x+12
c)
5x+17
d)
8x+10