# Free Algebra 03 Practice Test - 6th grade

Value of 2xy when x=4 and y=0 is _________.

A.

0

B.

8

C.

16

D.

6

#### SOLUTION

Solution : A

2xy=2× x× y

On substituting the values of x and y, we get

2xy=2× 4× 0=8× 0=0

A number when multiplied by 2 and decreased by 41 gives 3. Find the number.

A.

18

B.

20

C.

22

D.

24

#### SOLUTION

Solution : C

Let the number be x.
2x41=32x=44x=442=22

The coefficient of term xy2 in expression 4xy2+x3x5+2xy2 is ______.

A. 4
B. 2
C. 3
D. 6

#### SOLUTION

Solution : D

Since 4xy2 and 2xy2 are like terms, the given expression can be written as follows.

4xy2+x3x5+2xy2=6xy2+x3x5
Therefore, the coefficient of xy2 is 6.

Which of the following is a variable?

A. Number of days in a week
B. 5
C. Temperature of a place in a day at different times
D. Number of months in a year

#### SOLUTION

Solution : C

The temperature of a place in a day at different times will be different. So it is a variable.

The number of days in a week and the number of months in a year always remain the same. So these are constants.

5 has a fixed value. So it is a constant.

When 5 is added to a number, we get 15. How do we represent this in the form of an equation in variable x ?

A.

x=15+5

B.

x5=15

C.

x+15=5

D.

x+5=15

#### SOLUTION

Solution : D

Let us take the number to be x.
When 5 is added to the number, we get x+5.
Now, we know that when 5 is added to that number, we get 15.
Hence, x+5=15.

The variable in the expression (9x+32)÷9 is ___.

#### SOLUTION

Solution : Variable is the unknown quantity which can have different values at different instances and they are usually represented by alphabets. In above expression, x is the variable.

Identify the binomial(s) among the given expressions.

A. 7x+8xy
B. 1+2x+3y
C. 3x+7xy+yx
D. 3x+2y

#### SOLUTION

Solution : A, C, and D

7x +8 xy has two unlike terms. So, it is a binomial.
1 + 2x +3y has three unlike terms. So, it is a trinomial.
3x + 7xy + yx = 3x + 8xy which has two unlike terms. So, it is a binomial.
3x + 2y has two unlike terms. So, it is a binomial.

If the sum of successor and predecessor of a number is 14, then the number should be _____.

A. 6
B. 8
C. 7
D. 10

#### SOLUTION

Solution : C

Let the number be x.
Therefore, the successor of number is x + 1 and the predecessor is x - 1.
Given that the sum of successor and predecessor is 14.
x+1+x1=142x=14x=142x=7
So, the number should be 7.

Solve for x:x23=2x7

A.

7

B.

-14

C.

14

D.

-7

#### SOLUTION

Solution : C

x23=2x77×(x2)=3×2x7x14=6x7x6x=14x=14

If 2x+10=8x, then the value of x is

A.

403

B.

3

C.

-40

D.

403

#### SOLUTION

Solution : A

2x+10=8x2x=8×(x+10)x=4×(x+10)x=4x+4040=4xx40=3xx=403