Free Printable SUBSTITUTION AND +/- ALGEBRAIC EXPRESSIONS

1.

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

a)

40

b)

42

c)

44

d)

46

2.

If y=7,find the value of 2(y+4)

a)

11

b)

22

c)

20

d)

18

3.

Work out the value of the following expressions when a = 3, b = 4 and c = 5.
2a² + c²

a)

22

b)

34

c)

68

d)

43

4.

Work out the value of the expression when x = 3, y = – 2 and z = – 4.
2x² + z²

a)

2

b)

27

c)

50

d)

34

5.

When x = 3, y = 6 and z = 7, find 2x - z

a)

-1

b)

-2

c)

-3

d)

-4

6.

If a=3, and b= -1, then (ab)²=

a)

-3

b)

-9

c)

3

d)

9

7.

If x= -4, y=2 and p=3, then (x/y)^p=

a)

-8

b)

-1/8

c)

1/8

d)

8

8.

If x= -3, y=4 and z= 1, evaluate 2x + 3y -5z

a)

-1

b)

13

c)

-13

d)

1

9.

If a= -2 and b= -3, then 20 - a + b =

a)

15

b)

21

c)

19

d)

-19

10.

If a=4, b= -3 and c=0, then 3a + 3b + 3c =

a)

-3

b)

6

c)

3

d)

-6

11.

f/5 when f = 35

a)

7

b)

5

c)

8

d)

9

12.

2i + 3v when i =3 and v = 2

a)

12

b)

6

c)

0

d)

18

13.

(p + q)/3 when p = 11 1nd q = 22

a)

11

b)

33

c)

30

d)

10

14.

(j/2) + u when j = 30 and u = 3

a)

18

b)

33

c)

28

d)

15

15.

Evaluate the expression. Let g = 3 h = 9

4g + 2h + 4

a)

42

b)

34

c)

46

d)

58

16.

$4\left(r-1\right)$ Evaluate for r = 3.

a)

22

b)

16

c)

11

d)

8

17.

Simplify:

\frac{x}{3}\ +\ 4

when x = 24

a)

10

b)

76

c)

-12

d)

12

18.

Like terms have the same variables and the same exponents.

a)

true

b)

false

19.

Identify the "like terms" in the expression:
2x + 4y - 3x + y - x

a)

2x and 4y and -3x

b)

2x and -3x and x
4y and y

c)

they are all like terms

d)

there are no like terms

20.

Are -c and 4c like terms?

a)

Yes

b)

No

21.

Are x + y like terms?

a)

Yes

b)

No

22.

Identify the like terms: 7y + 5r -4r + 2w +r

a)

7y and 2w

b)

5r ,-4r, and r

c)

5r abd r

d)

none

23.

True or False:
u³and u² are like terms.

a)

True

b)

False

24.

What are the like terms in the following expression?
4x² - 3x - 2x

a)

-3x, -2x

b)

3x, 2x

c)

-3x, 2x

d)

3x, -2x

25.

Find the sum (−x + 8) + (−5x − 1).

a)

−6x + 7

b)

−4x + 7

c)

−6x − 8

d)

−6x + 8

26.

Find the sum (−3x + 7) + (2x − 5).

a)

−x + 2

b)

−6x − 35

c)

−x - 2

d)

−5x + 2

27.

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

11a³ - 4a² - 14a - 7

b)

5a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

28.

Simplify each expression.
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

a)

11x⁴ + 2x² + 14x

b)

16x⁴ + x² + 14x

c)

11x⁴ + x² + 14x

d)

11x⁴ + 2x² + 10x

29.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

30.

Add the polynomials.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

a)

4x³ + 1x² – 3x + 1

b)

2x³ + 1x² - 5x + 9

c)

6x³ + 1x - 1x² - 3

d)

3x⁵ +1x - 1x⁵ - 3x

31.

(x³-x²+4) - (3x³-2x²+3)

a)

-2x³-3x²+7

b)

-2x³+x²+1

c)

2x³-3x³-1

d)

4x³-3x²+7

32.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

33.

Simplify the following monomial: $16x^2y-4xy^2-5x^2y+10xy^2$

a)

$6xy^2+21x^2y$

b)

$11x^2y\ +6xy^2$

c)

$6x^2y+11xy^2$

34.

Simplify completely: 1/4x + 2 (-3y - 5/4x)

a)

9/4x - 6y

b)

-9/4x + 10

c)

9/4x - 6

d)

-9/4x - 6y

35.

Simplify completely: -7 (2/7 - 3x)

a)

-2 + 21x

b)

2 - 21x

c)

2 + 21x

d)

-2 - 21x

SUBSTITUTION AND +/- ALGEBRAIC EXPRESSIONS

Total questions: 35

Worksheet time: 9hrs 45mins

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