Free Printable JSC 180844 Algebraic Expressions and Identities

1.

Subtract: -6x²y from -10x²y

a)

4x²y

b)

-4x²y

c)

16x²y

d)

-16x²y

2.

(x² - y²) × (x² + y²) = ______

a)

2x² + 2y²

b)

x⁴ - y⁴

c)

x⁴ + y⁴

d)

2x⁴

3.

The square of x² - 2y²is ______

a)

x⁴ - 4x²y²+ 4y⁴

b)

x⁴ + 4x²y²+ 4y⁴

c)

x⁴ - 4x²y²- 4y⁴

d)

None of the above

4.

If a + b = 5 and ab = 6, find a² + b².

a)

13

b)

12

c)

10

d)

11

5.

What kind of expression is xyz?

a)

Monomial

b)

Binomial

c)

Trinomial

d)

None of the above

6.

Is this 4/5 monomial ?

a)

TRUE

b)

FALSE

7.

Subtract x² – 3y² + 7y – 8 from 9x² – xy + y² + 5x – 3y

a)

8x² – xy + 4y²+ 5x - 10y – 8

b)

10x² – xy - 2y²+ 5x + 4y + 8

c)

10x² – xy + 4y²+ 5x - 10y - 8

d)

8x² – xy + 4y²+ 5x - 10y + 8

8.

What is the product of this monomial and polynomial ?

3xy ( 7z + 2z²+ x + yx)

a)

21xyz + 3x²y + 6xy²z+ 3x²y²

b)

3x²y²+ 6xyz²+ 3xy² + 21xyz

c)

6xy²z+21xyz + 3xy² + 3x²y²

d)

3x²y + 3x²y²+ 6xyz²+ 21xyz

9.

The expression (l + m) (2m + p) − 2m (p + m) can be simplified as

a)

2lm + lp

b)

2lm + lp − 2mp

c)

2lm + lp + mp

d)

2lm + lp − mp

10.

What is the product of (x² − y²) and (3x + 2y)?

a)

3x³ − 2y³ + 3x²y + 3xy²

b)

3x³ + 2y³ - 2x²y − 3xy²

c)

3x³ − 2y³ + 2x²y − 3xy²

d)

3x³ − 3y³ + 2x²y − 3xy²

11.

Which of the following expressions is equivalent to the expression 945 × 855?

a)

900² − 45²

b)

900² + 45²

c)

900² + (45 + 55) 900 + (45 × 55)

d)

800² + (45 + 55) 800 + 45 × 55

12.

Which of the following expressions is equivalent to the expression 706 × 695?

a)

(600)² + 600 − 6 × 5

b)

(700)² + 700 − 6 × 5

c)

600² + (95 + 6) 600 − 11

d)

700² + (95 + 6) 700 − 11

13.

Simplify (a - b + c)(a + b + c)

a)

a²+ 2ab + b²- c²

b)

a²+ 2ac + c²- b²

c)

a²+ 2bc - c²- b²

d)

a²+ 2ac + c²- b²

14.

4 times a number increased by 15

a)

15- 4n

b)

15 + 4n

c)

4n - 15

d)

4n + 15

15.

2 less than the quotient of d and 6

a)

d - 6 + 2

b)

6d - 2

c)

d/6 - 2

d)

2 - d/6

16.

Simplify [7x²(3x – 9) + 3] if x = 4

a)

We get 336

b)

We get 2271

c)

We get 420

d)

We get 339

17.

What is the sum of ab, a + b, and b + ab?

a)

2ab + 2a + b

b)

2ab + a + b

c)

2ab + ab²

d)

2ab + a + 2b

18.

In the expression 3xyz - 8y, what is the co-efficient?

a)

11

b)

1

c)

8

d)

None of the above

19.

$If\ x^2\ +\ \frac{1}{x^2}\ =\ 18,\ find\ x\ -\ \frac{1}{x}$

a)

4

b)

-4

c)

$+-4$

d)

16

20.

Find 87² - 13²

a)

7200

b)

7300

c)

7400

d)

7500

21.

$\left(a+b\right)^2\equiv$

a)

$a^2+b^2$

b)

$a^2-2ab+b^2$

c)

$a^2-b^2$

d)

$a^2+2ab+b^2$

22.

A __________ is the numerical term in an algebraic expression.

a)

Variable

b)

Constant

c)

Term

d)

Coefficient

23.

A ___________ is the numerical factor of a variable term in an algebraic expression.

a)

term

b)

coefficient

c)

variable

d)

constant

24.

Simplify the expression by combining like terms.

8a+4b+2c-3b+a

a)

9a+b+2c

b)

10a+7b+c

c)

13abc

d)

18abc

25.

Evaluate if a = 2 and b = 8

6 + 7b - 3a

a)

-100

b)

100

c)

-56

d)

56

26.

_Evaluate

5^m + mⁿ

when

m = 2 and n = 5

a)

57

b)

10

c)

50

d)

5

27.

_^Evaluate(a + b)^c + ab
when
a = 3, b = 5, and c = 2

a)

26

b)

31

c)

79

d)

49

28.

Evaluate:

-3a³b + 5a

if a = -2 and b = 5

a)

110

b)

-14

c)

145

d)

-115

29.

$\left(4a+2b\right)^2=$

a)

$16a^2+8ab-4b^2$

b)

$16a^2-8ab-4b^2$

c)

$16a^2-8ab+4b^2$

d)

$16a^2+8ab+4b^2$

30.

Which expression is equivalent to

3x + ½(-12x - 16)

a)

-21x + (-32)

b)

9x + 8

c)

-3x - 8

d)

-6x - 8

JSC 180844 Algebraic Expressions and Identities

Total questions: 30

Worksheet time: 55mins

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