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Entry Test Basic Algebra

Total questions: 56

Worksheet time: 2hrs 3mins

Name
Class
Date
1.

Simplify the following:   x+3xx+3x  

a)

4x+x4x+x  

b)

4x4x  

c)

3x3x  

d)

2x2x  

2.

Simplify the following:  8v3v8v-3v  

a)

10v10v  

b)

8v8v  

c)

5v5v  

d)

3v3v  

3.

Simplify the following: -15x – 23x  

a)

38x38x  

b)

15x15x  

c)

25x25x  

d)

38x-38x  

4.

Simplify the following : 3g - 4g + 6g  

a)

10g10g  

b)

2g2g  

c)

5g5g  

d)

8g8g  

5.

Simplify the following:   25x+46x\frac{2}{5}x+\frac{4}{6}x  

a)

23x\frac{2}{3}x  

b)

1615x\frac{16}{15}x  

c)

2x2x  

d)

1213x\frac{12}{13}x  

6.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
7.

3x - 5 = -26

a)

x=-21

b)

x=21

c)

x=-7

d)

x=61

8.
Solve for x:
6(2x + 1) = 18
a)
3
b)
17/12
c)
1
d)
2
9.
Solve for x:
12 = 20x - 18
a)
1
b)
-2
c)
-1
d)
2
10.
Solve the following equation,
x + 7 = 28
a)
x = 35
b)
x = 4
c)
x = 196
d)
x = 21
11.
Solve the following equation,
3x + 6 = 21
a)
x = 9
b)
x = 5
c)
x = 15
d)
x = 27
12.
Solve:
-4x = 24
a)
20
b)
-20
c)
6
d)
-6
13.
Solve:
3x + 7 = -8
a)
5
b)
-5
c)
-12
d)
-18
14.
What is the first step in solving this equation:
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
15.
Solve for x:
2x + 5 = 12
a)
7
b)
3
c)
3.5
d)
8.5
16.
Solve for x:
10 = 3x -12
a)
22/3
b)
2/3
c)
10/9
d)
8
17.
Solve for x:
7 - 5x = 12
a)
1
b)
-6
c)
-1
d)
6
18.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
19.
-4x + 1 = 21
a)
x=120
b)
x=5
c)
x=30
d)
x=-5
20.
Solve the following equation,
x - 23 = 17
a)
-6
b)
6
c)
40
d)
-40
21.

Expand 3(4x6)3\left(4x-6\right)  

a)

12x+1812x+18  

b)

12x1812x-18  

c)

12x612x-6  

d)

12x+612x+6  

22.

Expand  2(2a5)-2\left(2a-5\right)  

a)

4a5-4a-5  

b)

4a+5-4a+5  

c)

4a10-4a-10  

d)

4a+10-4a+10  

23.

2(a1)+3(3a)2\left(a-1\right)+3\left(3-a\right)  

Expand and simplify

a)

a11-a-11  

b)

a+7-a+7  

c)

5a115a-11  

d)

a+8a+8  

24.

Expand and simplify 4(b+1)2(3b1)4\left(b+1\right)-2\left(3b-1\right)  


a)

2b+6-2b+6  

b)

2b-2b  

c)

2b+2-2b+2  

d)

2b+3-2b+3  

25.

Solve the equation x+5=23x+5=23  

a)

23

b)

-18

c)

18

d)

-23

26.

Solve the equation 6x=726x=72  

a)

432

b)

66

c)

12

d)

112\frac{1}{12}  

27.

Solve the equation m1=8m-1=-8  

a)

7

b)

9

c)

-9

d)

-7

28.

Solve the equation 2x5=132x-5=13  

a)

4

b)

9

c)

16

d)

6

29.

Solve the equation 7p=117-p=11  

a)

-4

b)

18

c)

4

d)

-18

30.

Solve the equation  53y=265-3y=26  

a)

7

b)

313\frac{31}{3}  

c)

313-\frac{31}{3}  

d)

-7

31.
3(2y - 7)
a)
6y - 7
b)
6y - 21
c)
5y - 7
d)
5y - 21
32.
Solve:
3(x - 2) = 18
a)
6.7
b)
4
c)
8
d)
-4
33.
Solve:
-3x + 6(1 + 2x) = 2x + 27
a)
x = 3
b)
Many Solutions
c)
No Solutions
d)
x = (-11)
34.
Solve:
32 - 7x = -6(x + 3)
a)
50
b)
3
c)
-3
d)
-50
35.

Simplify

a + a = ?

a)

a2

b)

a1

c)

2a

d)

aa

36.

Simplify

2xy + 3xy

a)

-xy

b)

4y

c)

3xy

d)

5xy

37.
7g + 5 + 6g  - 3
a)
13g - 3
b)
12g + 5
c)
13g + 2
d)
13g - 2
38.

3x+2=113x+2=11  

 Solve the equation above. 

a)

x=6x=6  

b)

x=4x=4  

c)

x=2.5x=2.5  

d)

x=3x=3  

39.

Solve. x9=13\frac{x}{9}=13  

a)

1.44

b)

-1.44

c)

117

d)

-117

40.

11x=7\frac{11}{x}=-7  

a)

-1.57

b)

1.57

c)

-77

d)

77

41.

Solve. x+38=22\frac{x+3}{8}=22  

a)

152

b)

173

c)

179

d)

-0.25

42.

Solve 4x+7+8x=794x+7+8x=79  

a)

6

b)

7.17

c)

4.16

d)

12

43.

Solve. (7x+14)3+3=108\frac{-\left(-7x+14\right)}{3}+3=108  

a)

47

b)

43

c)

49.57

d)

45.57

44.
½(8x + 2)
a)
4x + 2
b)
4x + 1
c)
16x + 4
d)
16x - 4
45.
Solve:
6(5x - 3) + 2 = 14
a)
2
b)
.5
c)
-1
d)
1
46.

Simplify

a + a = ?

a)

a2

b)

a1

c)

2a

d)

aa

47.

Simplify

8ab3 + 4ab3

a)

4ab3

b)

43

c)

4ab

d)

12ab3

48.

Simplify

4bcd - bcd

a)

3bcd

b)

4bcd

c)

5bcd

d)

11abc

49.

Simplify

4a x 8b

a)

12ab

b)

4ab

c)

ab

d)

32ab

50.

Expand the brackets and SIMPLIFY

2ab(5b+3a)

a)

15a2b2

b)

7ab + 5ab

c)

10b2

d)

10ab2 + 6a2b

51.
d + d + d + d =
a)
d4
b)
4d
c)
d4
d)
4 + d
52.

Simplify 4m + 3 + 2m - 2.

a)

6m - 1

b)

11m

c)

6m + 1

d)

6m + 5

53.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
54.
Solve the following equation,
3x + 6 = 21
a)
x = 9
b)
x = 5
c)
x = 15
d)
x = 27
55.
Solve:
3x + 7 = -8
a)
5
b)
-5
c)
-12
d)
-18
56.

PLEASE WRITE YOUR NAME AND CLASS : Eg ; Mohd Ali (5A)

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