Free Printable Unit 5 - Algebra Revision

1.

If a = 4 and b = 6, what is the value of 3a + 5b?

a)

40

b)

42

c)

44

d)

46

2.

If x = 5, find the value of 7x-1.

a)

34

b)

36

c)

35

d)

37

3.

If y = 4, find the value of 3y+5.

a)

27

b)

12

c)

17

d)

18

4.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

5.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

6.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

7.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

8.

Expand the following expression...

a)

3x + 6

b)

3x + 2

c)

3x + 5

d)

x + 6

9.

Expand the following expression...

a)

4x - 8

b)

4x - 2

c)

4x + 2

d)

4x - 6

10.

Expand the following expression...

a)

6x + 8

b)

3x + 8

c)

3x + 6

d)

6x + 6

11.

Expand the following expression...

a)

36x + 12

b)

15x + 12

c)

15x + 13

d)

36x + 13

12.

2(x + 10) + 3(x + 5)

a)

5x + 35

b)

5x + 34

c)

6x + 35

d)

6x + 15

13.

3(2x + 1) + 6(x + 3)

a)

12x + 21

b)

12x + 6

c)

11x + 21

d)

11x + 6

14.

Find the HCF of 30 and 36

a)

2

b)

3

c)

4

d)

6

15.

Find the HCF of 22 and 42

a)

2

b)

3

c)

11

d)

14

16.

Fully factorise the following expression...

4x - 12

a)

4(x - 3)

b)

2(2x - 6)

c)

2(2x - 3)

d)

4(x - 12)

17.

Fully factorise the following expression...

5x + 10

a)

5(x + 3)

b)

5(x + 2)

c)

5(x + 5)

d)

5(x + 10)

18.

Fully factorise the following expression...

12x + 18

a)

6(2x + 3)

b)

3(4x + 6)

c)

12(x + 2)

d)

2(6x + 9)

19.

Factorise: 6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

20.

Factorise fully: ab + 4b

a)

a(b+4)

b)

b(a+4)

c)

ab(1+4)

d)

b(a+4b)

21.

Factorise: 12x² + 15x

a)

6x(2x+3)

b)

3(x²+5x)

c)

4x(3x+5)

d)

3x(4x+5)

22.

Solve the equation
9 + d = 16

a)

5

b)

7

c)

8

d)

6

23.

Solve the equation
n + 8 = 41

a)

12

b)

9

c)

4

d)

33

24.

r / 3 = 7

a)

r = 21

b)

r = 24

c)

r = 10

d)

r = 4

25.

24 = 4c

a)

c = 48

b)

c = 20

c)

c = 8

d)

c = 6

26.

15 = 2a + 7

a)

2

b)

4

c)

12

d)

14

27.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

28.

Solve -3x + 5 = -16

a)

9

b)

8

c)

-7

d)

7

29.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

30.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

31.

2x - 3 + 4x = 27

a)

x= 12

b)

x = 4

c)

x = 5

d)

x = 15

32.

7(1 - y) = -3(y - 2)

a)

x = 1/4

b)

x = 4

c)

x = 5

33.

Solve:
2(4x-3) - 8 = 4 + 2x

a)

x = 5/3

b)

x = 3

c)

x = 1

d)

x = 2

34.

Solve the equation
4x - 5x + 9 =5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

35.

Solve.

(2x - 3) / 4 = 9

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

36.

How do you write a co-ordinate?

a)

(X,X)

b)

(Y,X)

c)

(X,Y)

d)

(Y,Y)

37.

In the ordered pair (4,9), which number is the y-coordinate?

a)

4

b)

9

c)

neither

d)

both

38.

Name the location of point S.

a)

(4,6)

b)

(6,4)

c)

(3,3)

d)

(5,1)

39.

Which is the correct equation for the pattern in the table?

a)

y = 0.3x

b)

y = x + 0.3

c)

y = 3x

d)

y = x + 3

40.

Which equation correctly names the pattern in the table?

a)

y= 2x

b)

y= x+4

c)

y= 3x

d)

y= x-8

41.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

42.

Where is point F located?

a)

(7,-5)

b)

(-7,5)

c)

(7,5)

d)

(-7,-5)

43.

Which of these lines has a negative gradient?

a)

The orange one

b)

The red one

c)

The blue one

d)

The green one

44.

What is the gradient of this line?

a)

2

b)

½

c)

-½

d)

-3

45.

What is the y-intercept of this line?

a)

2

b)

3

c)

-3y

d)

-3

46.

What rule connects the x and y values from this table?

a)

y = 2x + 5

b)

y = 4x + 1

c)

y = 3x + 3

d)

y = x + 7

47.

What rule connects the x and y values from this table?

a)

y = x + 8

b)

y = 2x + 3

c)

y = 3x - 2

d)

y = 4x - 7

48.

What is the gradient of the following slope

a)

-2

b)

-1/2

c)

2

d)

-1

49.

What is the gradient of this line

a)

4

b)

4/5

c)

-2

d)

-1/2

50.

What is the approximate volume of 300 g according to the graph above?

a)

200 mL

b)

250 mL

c)

300 mL

d)

350 mL

51.

A student used the graph to determine that the volume of a sample should be 300 mL when the mass is 300 g. Was this point determined by extrapolation or interpolation?

a)

extrapolation

b)

interpolation

52.

A student used the graph below to determine that the maximum heart rate of a person should be 45 beats per minute when a person is 80 years old. Was this point determined by extrapolation or interpolation?

a)

extrapolation

b)

interpolation

53.

What is the approximate mass produced in grams at 60 seconds? Did you find this data point using extrapolation or interpolation?

a)

2.2 g, extrapolation

b)

2.2 g, interpolation

c)

3.7 g, extrapolation

d)

3.7 g, interpolation

54.

About how many male math teachers were there in 2006?

a)

15

b)

30

c)

35

d)

45

55.

What does the "c" stand for in y=mx+c?

a)

slope

b)

x-intercept

c)

y-intercept

Unit 5 - Algebra Revision

Total questions: 55

Worksheet time: 4hrs 36mins

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