Free Printable Equations and Solutions Grade 6

1.

$y-3=12\ ;\ y=16$ Is the solution true for the following equation?

a)

yes

b)

no

2.

What number can be added to 7 to get 12?

a)

4

b)

15

c)

3

d)

5

3.

Find the perimeter of the rectanlge

a)

5 ft

b)

13 ft

c)

26 ft

d)

40 ft

4.

$20\div x=5$

a)

$x=3$

b)

$x=4$

c)

$x=5$

d)

$x=4x$

5.

$4a$ Evaluate the expression when a = 7

a)

28

b)

47

c)

11

d)

74

6.

Which equation matches the word sentence?

9 less than a number b equals 2.

a)

2=9-b

b)

9-b=2

c)

b-9=2

d)

9=b-2

7.

Write the word sentence as an equation. The sum of a number x and 4 equals 12.

a)

$x+12=4$

b)

$4+12=x$

c)

$4x=12$

d)

$x+4=12$

8.

Write the word sentence as an equation. 9 times a number b is 36

a)

$9\ x\ b\ =\ 36$

b)

$9+b=36$

c)

$9b=36$

d)

$9\ times\ b\ is\ 36$

9.

$p+10=38;p=18$ Tell whether the given value is a solution of the equation.

a)

yes

b)

no

10.

$Solve\ 26=9+x$

a)

$15=x$

b)

$17=x$

c)

$x=19$

d)

$x=21$

11.

$a+6=17;a=9$ Tell whether the given value is a solution of the equation

a)

yes

b)

no

12.

Find the perimeter of the rectangle.

a)

3 cm

b)

34 cm

c)

34 sq cm

d)

13 cm

13.

$\frac{2}{3}y=12$

Solve the equation. Check your solution.

a)

16

b)

9

c)

4

d)

18

14.

$\frac{2}{3}$

What is the reciprocal of the fraction?

a)

$\frac{4}{6}$

b)

$\frac{3}{2}$

c)

$1\frac{1}{3}$

d)

$3$

15.

What is the inverse operation of multiplication

a)

addition

b)

division

c)

subtraction

d)

equation

16.

$\frac{35}{a}$ Evaluate the expression when a = 7

a)

7

b)

5

c)

3

d)

8

17.

$y=3x+8;(4,20)$

Tell whether the ordered pair is a solution of the equation.

a)

yes

b)

no

18.

What is the inverse operation of subtraction?

a)

Addition

b)

Equation

c)

Division

d)

Multiplication

19.

$\frac{4}{8}$

What is the reciprocal of the fraction?

a)

$\frac{8}{4}$

b)

$\frac{1}{2}$

c)

$\frac{2}{4}$

d)

8

20.

$s+8=17$

Solve the equation. Check your solution.

a)

$s=14$

b)

$s=8$

c)

$s=11$

d)

$s=9$

21.

$9=y+6$ Solve the equation. Check your solution.

a)

$3=y$

b)

$y=2$

c)

$4=y$

d)

$15=y$

22.

$g−3=15;g=18$ Tell whether the given value is a solution of the equation.

a)

yes

b)

no

23.

$\frac{w}{4}=12$

Solve the equation. Check your solution.

a)

3

b)

48

c)

16

d)

8

24.

$12q=60$

Solve the equation. Check your solution.

a)

q=6

b)

q=5

c)

q=12

d)

q=10

25.

$n+8=42;n=36$

Tell whether the given value is a solution of the equation.

a)

yes

b)

no

26.

$y=6x−14;(7,29)$

Tell whether the ordered pair is a solution of the equation.

a)

yes

b)

no

27.

$42=7k$

Solve the equation. Check your solution.

a)

$7=k$

b)

$k=16$

c)

$6=k$

d)

$35=k$

28.

Solve for x

a)

x = 40

b)

x = 9

c)

x = 8

d)

7 = x

29.

The equation y = 10x + 25 represents the amount y (in dollars) in your savings account after x weeks. Is the amount of money in your bank account independent or dependent?

a)

Independent

b)

Dependent

30.

$y=7x+2;(2,0)$

Tell whether the ordered pair is a solution of the equation.

a)

yes

b)

no

Equations and Solutions Grade 6

Total questions: 30

Worksheet time: 3hrs 30mins

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