Arithmetic to Algebra

• 1) Evaluate the following algebraic expressions at the given value(s): 7x – 4y – 12 at x = 2 and y = -2

•   15
•   8
•   10
•   6

• 2) Evaluate the following algebraic expressions at the given value(s): 3a – 4(a-5) at a = 4

•   33
•   21
•   24
•   16

• 3) Evaluate the following algebraic expressions at the given value(s): -5(a – 4b) at a = 3 and b = -1

•   -1
•   -5
•   -9
•   -3

• 4) Evaluate the following algebraic expressions at the given value(s): x(2x – 4) at x = -5

•   65
•   70
•   45
•   90

• 5) Evaluate the following algebraic expressions at the given value(s): x + yz, at x = 1, y = 3 and z = 4

•   13
•   16
•   19
•   11

• 6) Evaluate the following algebraic expressions at the given value(s): (x + y)z, at x = 1, y = - 3 and z = 5

•   -15
•   -10
•   -18
•   -12

• 7) Evaluate the following algebraic expressions at the given value(s): x + 2(y + z), at x = -1, y = 2 and z = -5

•   -7
•   -8
•   -6
•   -9

• 8) Evaluate the following algebraic expressions at the given value(s): (x + 2)(y + z), at x = -5, y = -3 and z = 2

•   3
•   8
•   6
•   5

• 9) Evaluate the following algebraic expressions at the given value(s): x - 3(y - z), at x = -3, y = 2 and z = -1

•   -11
•   -16
•   -14
•   -12

• 10) Evaluate the following algebraic expressions at the given value(s): (x - 3)(y - z), at x = -1, y = -3 and z = -4

•   -8
•   -12
•   -4
•   -10

• 11) Simplify the following expressions in base exponent form: 3 × 3 × 3 ×3 × 3

•   3⁶
•   3²
•   3⁸
•   3⁵

• 12) Simplify the following expressions in base exponent form: (-3) × (-3) × (-3) × (-3) × (-3) × (-3) × (-3)?

•   -3⁸
•   -3⁶
•   -3⁷
•   -3³

• 13) Simplify the following expressions in base exponent form: a × a × a × a × a × a × a × a × a

•   a⁷
•   a¹²
•   a⁹
•   a¹⁰

• 14) Simplify the following expressions in base exponent form: m × m × m × m × m × m

•   m⁴
•   m⁸
•   m²
•   m⁶

• 15) Simplify the following expressions in base exponent form: k × k × k × k × k

•   k³
•   k⁶
•   k⁵
•   k²

• 16) Simplify the following expressions in base exponent form: (a × a × a × a × a × a ) ÷ (a × a × a )

•   a²
•   a⁴
•   a
•   a³

• 17) Simplify the following expressions in base exponent form: (a × a × a × a) ÷ (a × a × a × a × a)

•   2 ÷ a
•   1 ÷ a
•   a
•   4 ÷ a

• 18) Simplify the following expressions in base exponent form: x² × x² × x² × x² × x² × x²

•   6x
•   x
•   x¹²
•   x¹⁰

• 19) Simplify the following expressions in base exponent form: (x² × x² × x² × x² × x²) ÷ (x³ × x³ × x³)

•   x²
•   x
•   x⁴
•   x³

• 20) Simplify the following expressions in base exponent form: (a⁴ × a⁴ × a⁴ × a⁴ × a⁴ × a⁴) × (a⁴ × a⁴ × a⁴ × a⁴ × a⁴)

•   a¹²
•   a⁴⁴
•   a²²
•   a³⁴

• 21) Add 3x² + 6x – 4 and 9x² – 4 + 3x

•   23x² + 12x - 8
•   12x² + 9x - 8
•   19x² + 17x - 6
•   14x² + 12x - 6

• 22) Add: 6a + 5c – 3b and -5c – 3a + 4b

•   3a + b
•   2a +2b
•   4a + b
•   6a + b

• 23) Add: 5 + 4x + 7x², 4x + 2x² – 5 and 2x² + 6 – 5x

•   11x² + 3x + 6
•   31x² + 8x + 3
•   21x² + 7x + 4
•   17x²+ 7x + 8

• 24) Add: 4a – 5b + 10c – 5d, 7b + 6c + 3d + 4a and 9c + 3d – 8b + 2a

•   12a - 5b + 12c + d
•   10a - 6b + 25c + d
•   9a - 8b + 22c + 4d
•   11a - 2b + 22c + 2d

• 25) Subtract 3x + 7y from 9x + 8y

•   6x + y
•   6x + 7y
•   x + 6y
•   5x + 6y

• 26) Subtract 3a + 4b from 9c – 5a + 7b

•   -6a + 12b + 7c
•   -12a + 31b + 12c
•   -8a + 3b + 9c
•   -10a + 6b + 19c

• 27) Subtract 4x + 7 – 4x² from 12 – 3x + 5x²

•   12x² – 6x + 7
•   12x² – 8x +7
•   7x² – 6x + 7
•   9x² – 7x + 5

• 28) Subtract 5x – 8z + 4y from 8x – 2y – 6z

•   4x - 8y + z
•   4x - 5y + 3z
•   3x - 6y + 2z
•   4x - 7y + 3z

• 29) Multiply: x with (x +1)

•   x + 1
•   x² - x
•   x² + x
•   x³ + x

• 30) Multiply : (-a) . ( b + 2c)

•   ab + 2ac
•   ab – 2ac
•   -ab + 2ac
•   -ab – 2ac