Arithmetic to Algebra
1) Evaluate the following algebraic expressions at the given value(s): 7x – 4y – 12 at x = 2 and y = -2
- 6
- 15
- 10
- 8
Answer: 10
2) Evaluate the following algebraic expressions at the given value(s): 3a – 4(a-5) at a = 4
- 24
- 33
- 21
- 16
Answer: 16
3) Evaluate the following algebraic expressions at the given value(s): -5(a – 4b) at a = 3 and b = -1
- -5
- -9
- -1
- -3
Answer: -1
4) Evaluate the following algebraic expressions at the given value(s): x(2x – 4) at x = -5
- 65
- 90
- 45
- 70
Answer: 70
5) Evaluate the following algebraic expressions at the given value(s): x + yz, at x = 1, y = 3 and z = 4
- 16
- 11
- 13
- 19
Answer: 13
6) Evaluate the following algebraic expressions at the given value(s): (x + y)z, at x = 1, y = - 3 and z = 5
- -10
- -12
- -15
- -18
Answer: -10
7) Evaluate the following algebraic expressions at the given value(s): x + 2(y + z), at x = -1, y = 2 and z = -5
- -9
- -7
- -8
- -6
Answer: -7
8) Evaluate the following algebraic expressions at the given value(s): (x + 2)(y + z), at x = -5, y = -3 and z = 2
- 3
- 5
- 6
- 8
Answer: 3
9) Evaluate the following algebraic expressions at the given value(s): x - 3(y - z), at x = -3, y = 2 and z = -1
- -16
- -12
- -11
- -14
Answer: -12
10) Evaluate the following algebraic expressions at the given value(s): (x - 3)(y - z), at x = -1, y = -3 and z = -4
- -12
- -4
- -10
- -8
Answer: -4
11) Simplify the following expressions in base exponent form: 3 × 3 × 3 ×3 × 3
- 3²
- 3⁵
- 3⁶
- 3⁸
Answer: 3⁵
12) Simplify the following expressions in base exponent form: (-3) × (-3) × (-3) × (-3) × (-3) × (-3) × (-3)?
- -3⁷
- -3⁶
- -3⁸
- -3³
Answer: -3⁷
13) Simplify the following expressions in base exponent form: a × a × a × a × a × a × a × a × a
- a¹²
- a⁷
- a¹⁰
- a⁹
Answer: a⁹
14) Simplify the following expressions in base exponent form: m × m × m × m × m × m
- m⁶
- m²
- m⁴
- m⁸
Answer: m⁶
15) Simplify the following expressions in base exponent form: k × k × k × k × k
- k²
- k⁵
- k⁶
- k³
Answer: k⁵
16) Simplify the following expressions in base exponent form: (a × a × a × a × a × a ) ÷ (a × a × a )
- a⁴
- a
- a³
- a²
Answer: a³
17) Simplify the following expressions in base exponent form: (a × a × a × a) ÷ (a × a × a × a × a)
- 2 ÷ a
- a
- 1 ÷ a
- 4 ÷ a
Answer: 1 ÷ a
18) Simplify the following expressions in base exponent form: x² × x² × x² × x² × x² × x²
- x¹²
- x¹⁰
- x
- 6x
Answer: x¹²
19) Simplify the following expressions in base exponent form: (x² × x² × x² × x² × x²) ÷ (x³ × x³ × x³)
- x
- x³
- x⁴
- x²
Answer: x
20) Simplify the following expressions in base exponent form: (a⁴ × a⁴ × a⁴ × a⁴ × a⁴ × a⁴) × (a⁴ × a⁴ × a⁴ × a⁴ × a⁴)
- a²²
- a³⁴
- a¹²
- a⁴⁴
Answer: a⁴⁴
21) Add 3x² + 6x – 4 and 9x² – 4 + 3x
- 23x² + 12x - 8
- 19x² + 17x - 6
- 14x² + 12x - 6
- 12x² + 9x - 8
Answer: 12x² + 9x - 8
22) Add: 6a + 5c – 3b and -5c – 3a + 4b
- 6a + b
- 4a + b
- 3a + b
- 2a +2b
Answer: 3a + b
23) Add: 5 + 4x + 7x², 4x + 2x² – 5 and 2x² + 6 – 5x
- 11x² + 3x + 6
- 17x²+ 7x + 8
- 31x² + 8x + 3
- 21x² + 7x + 4
Answer: 11x² + 3x + 6
24) Add: 4a – 5b + 10c – 5d, 7b + 6c + 3d + 4a and 9c + 3d – 8b + 2a
- 12a - 5b + 12c + d
- 11a - 2b + 22c + 2d
- 10a - 6b + 25c + d
- 9a - 8b + 22c + 4d
Answer: 10a - 6b + 25c + d
25) Subtract 3x + 7y from 9x + 8y
- x + 6y
- 6x + y
- 6x + 7y
- 5x + 6y
Answer: 6x + y
26) Subtract 3a + 4b from 9c – 5a + 7b
- -10a + 6b + 19c
- -8a + 3b + 9c
- -12a + 31b + 12c
- -6a + 12b + 7c
Answer: -8a + 3b + 9c
27) Subtract 4x + 7 – 4x² from 12 – 3x + 5x²
- 9x² – 7x + 5
- 12x² – 8x +7
- 12x² – 6x + 7
- 7x² – 6x + 7
Answer: 9x² – 7x + 5
28) Subtract 5x – 8z + 4y from 8x – 2y – 6z
- 4x - 8y + z
- 4x - 5y + 3z
- 4x - 7y + 3z
- 3x - 6y + 2z
Answer: 3x - 6y + 2z
29) Multiply: x with (x +1)
- x² + x
- x² - x
- x³ + x
- x + 1
Answer: x² + x
30) Multiply : (-a) . ( b + 2c)
- -ab – 2ac
- ab + 2ac
- ab – 2ac
- -ab + 2ac
Answer: -ab – 2ac