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Evaluating Algebraic Expressions for given Values of a Variables

Total questions: 25

Worksheet time: 25mins

Name
Class
Date
1.

If x= –2 and y= –1, evaluate x³ – y³

a)

7

b)

4

c)

6

d)

-7

2.

Evaluate the expression of (a–b)². If a= 3 and b= –5, at a= 3 and b= –5.

a)

72

b)

63

c)

64

d)

54

3.

If a= 3 and b= –5, evaluate a² – b².

a)

16

b)

-15

c)

15

d)

-16

4.

If a= 5 and b= –7, evaluate 2|a| –3|b|.

a)

12

b)

10

c)

2

d)

-11

5.

Evaluate the expression x² – 2xy + y² at x= –3 and y= 2.

a)

30

b)

25

c)

20

d)

-25

6.

Add: (3x – 2) + (3x² + 6x)

a)

6x2+6x26x^2+6x-2

b)

6x2+46x^2+4

c)

3x2+9x23x^2+9x-2

d)

3x2+3x23x^2+3x-2

7.

Subtract: (2a² + 5a +3) – (a² – 3a – 4)

a)
3a² + 2a + 1
b)
a² + 6a + 5
c)
3a² + 8a + 7
d)
a² + 8a + 7
8.

Find the missing term: (2x + _____) + (3x² – 4x + 3) = 3x² – 2x – 8

a)

8

b)

5

c)

-5

d)

-11

9.

Add: (x – 2) + (x + 2) + (x –1) + (x + 1)

a)

4x+64x+6

b)

4x4x

c)

2x2x

d)

0

10.

Simplify: 9x² – (5x² – 8) – (–3x – 1)

a)

4x2+3x+94x^2+3x+9

b)

4x2+3x+74x^2+3x+7

c)

4x2+3x94x^2+3x-9

d)

4x23x94x^2-3x-9

11.

Adding or subtracting polynomials involves combining like terms.

a)

True

b)

False

12.

When adding or subtracting polynomials, the degree of the resulting polynomial can be different from the original polynomials.

a)

True

b)

False

13.

The result of evaluating an algebraic expression can never be negative.

a)

True

b)

False

14.

The order of operations (PEMDAS/BODMAS) must be followed when evaluating algebraic expressions.

a)

True

b)

False

15.

In subtracting polynomials, changing the order of the terms does not affect the result.

a)

True

b)

False

16.

When subtracting polynomials, it's important to distribute the subtraction sign(–) to all terms in the second polynomials

a)

True

b)

False

17.

Algebraic Expressions can involve operations like addition, subtraction, multiplication, and division.

a)

True

b)

False

18.

In algebraic expressions, variables always represent specific numerical values.

a)

True

b)

False

19.

The process of adding or subtracting polynomials involves only terms with variables raised to the same power.

a)

True

b)

False

20.

Parenthesis in algebraic expressions indicate multiplication only.

a)

True

b)

False

21.

To evaluate an algebraic expression means to find the (a)   when the variable is replaced by a given number.

22.

(a)   is an algebraic expression with only one term in which the exponents and variables are non-negative integers.

23.

(a)   is an algebraic expression composed of two monomials linked by an operation symbol.

24.

Consists of three monomials linked by operation symbols.

(a)  

25.

It is an algebraic expression with any amount of terms greater than 1 but not an infinite amount.

(a)