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MATH 7: ALGEBRAIC EQUATION

Total questions: 25

Worksheet time: 3585secs

Name
Class
Date
1.

1.5 added to a number is 9.

a)

x + 5 = 9

b)

9 + 5 = x

c)

9 + x = 5

d)

5x = 9

2.

2.3 subtracted from a number is equal to 12.

a)

3 - x = 12

b)

3 - 12x = 0

c)

x - 3 =12

d)

x - 12 = 3

3.

3.5 times a number decreased by 2 is 4.

a)

2 - 5x = 4

b)

5x - 4 = 2

c)

4 - 5x = 2

d)

5x - 2 = 4

4.

4.A number is 12 more than the other and their sum is 48. Which of the equation models the problem?

a)

x - 12 = 48

b)

x + 12 = 48

c)

2x + 12 = 48

d)

2x = 48

5.

5.Twice the number decreased by 22 is 48. Which of the following equation models the problem

a)

2x = 48

b)

2x - 48 = 22

c)

22 - 2x = 48

d)

2x - 22 = 48

6.

6.A number is 12 more than the other. Find the numbers if their sum is 48.

a)

18 & 30

b)

20 & 28

c)

19 & 29

d)

13 & 35

7.

7.The sum of two consecutive even numbers is 38. Which of the following equation represents the prblem

a)

2x + 1 = 38

b)

x + 2 = 38

c)

2x + 2 = 38

d)

x + 1 = 38

8.

8.Solve the following equation,

x + 4 = 25

a)

x = 29

b)

x = 100

c)

x = 5

d)

x = 21

9.

9.The next step in solving the equation 2x - 3 = -15 is to . . .

a)

divide by 2 on both sides of the equation

b)

multiply by 2 on both sides of the equation

c)

subtract 3 on both sides of the equation

d)

add 3 on both sides of the equation

10.

10.Solve the following equation,

5x = -30

a)

x = 6

b)

x = 150

c)

x = -6

d)

x = -150

11.

11.In the equation 3x + 8=23, the number 3 is called the ____________.

a)

variable

b)

constant

c)

coefficient

d)

answer

12.

12.In the equation 3x + 8=23, the number 8 is called the ____________.

a)

variable

b)

constant

c)

coefficient

d)

answer

13.

13.In the equation 2x-5=27, which of the following is the variable?

a)

2

b)

x

c)

-5

d)

27

14.

14.What is the solution of the equation -2x-5=17?

a)

x = 11

b)

x = 6

c)

x = -6

d)

x = -11

15.

15.In solving the equation 2x-5=27, what step to do first?

a)

divide 2 on both sides of the equation

b)

add 5 on both sides of the equation

c)

multiply 2 on both sides of the equation

d)

subtract 5 on both sides of the equation

16.

16.What is the value of a in the equation 3a-7=17?

a)

a = 6

b)

a = 8

c)

a = -8

d)

a = 103\frac{10}{3}

17.

17.In the equation 3x + 7 = -11, after you subtract 7 on both sides of the equation, what will be the value of x?

a)

x= -6

b)

x=6

c)

x= 43\frac{4}{3}

d)

x= −43-\frac{4}{3}

18.

18.Solve for x:

4x + 1 = 7x - 5

a)

x=−1x=-1

b)

x=2x=2

c)

x=611x=\frac{6}{11}

d)

x=8x=8

19.

19.What is the algebraic form of

two more than thrice a number x is fourteen?

a)

3x+2=14

b)

2+3x>14

c)

2+3x=14

d)

3x-2=14

20.

20.Solve for the value of x :

3(5x + 1) = 48

a)

x = 4715x\ =\ \frac{47}{15}

b)

x=47x=47

c)

x=51x=51

d)

x=3x=3

21.

21.Solve:

2(2x + 3) = -6(x + 9)

a)

x=1.2x=1.2

b)

x=6x=6

c)

x=−6x=-6

d)

x=7.5x=7.5

22.

22.What property will be applied first in solving 4m-1=15?

a)

addition property of equality

b)

multiplication property of equality

c)

distributive property

d)

additive identity property

23.

23.Gary solved the equation as shown in the picture. Which correctly describes the error that Gary made in his work?

a)

he did not combine 7x and 8x correctly

b)

he did not divide correctly

c)

he did not combine -3 and -9 correctly

d)

he did not make an error in his work

24.

24. Twice the number decreased by 22 is 48. Which of the following equation models the problem

a)

2x = 48

b)

2x - 48 = 22

c)

22 - 2x = 48

d)

2x - 22 = 48

25.

25.The sum of two consecutive even numbers is 38. Which of the following equation represents the problem.

a)

2x + 1 = 38

b)

x + 2 = 38

c)

2x + 2 = 38

d)

x + 1 = 38