6th Grade Algebraic Expressions Worksheets - Math Monks - Free Printable

Let's solve each expression step by step, substituting the given values for the variables.

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Part 1: Evaluate for $ x = 4 $

1) $ x + 8 = 4 + 8 = \boxed{12} $

2) $ 2x - 1 = 2(4) - 1 = 8 - 1 = \boxed{7} $

3) $ 10 + x^2 = 10 + (4)^2 = 10 + 16 = \boxed{26} $

4) $ -x - 12 = -(4) - 12 = -4 - 12 = \boxed{-16} $

5) $ -4 + x^2 = -4 + (4)^2 = -4 + 16 = \boxed{12} $

6) $ x^2 - 1 = (4)^2 - 1 = 16 - 1 = \boxed{15} $

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Part 2: Evaluate for $ y = -2 $

1) $ 3y - 3 = 3(-2) - 3 = -6 - 3 = \boxed{-9} $

2) $ -2y - 16 = -2(-2) - 16 = 4 - 16 = \boxed{-12} $

3) $ 16 + y^2 = 16 + (-2)^2 = 16 + 4 = \boxed{20} $

4) $ -2y + 20 = -2(-2) + 20 = 4 + 20 = \boxed{24} $

5) $ y^2 + 12 = (-2)^2 + 12 = 4 + 12 = \boxed{16} $

6) $ -y^2 - 20 = -(-2)^2 - 20 = -4 - 20 = \boxed{-24} $

> Note: $ y^2 = (-2)^2 = 4 $, so $ -y^2 = -4 $

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Part 3: Evaluate for $ t = -5 $

1) $ t^2 + 75 = (-5)^2 + 75 = 25 + 75 = \boxed{100} $

2) $ -t - 25 = -(-5) - 25 = 5 - 25 = \boxed{-20} $

3) $ -t + 10 = -(-5) + 10 = 5 + 10 = \boxed{15} $

4) $ 22 - 2t = 22 - 2(-5) = 22 + 10 = \boxed{32} $

5) $ -4t - 5 = -4(-5) - 5 = 20 - 5 = \boxed{15} $

6) $ -t - 10 = -(-5) - 10 = 5 - 10 = \boxed{-5} $

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Part 4: Evaluate for $ q = -1 $

1) $ 12 + q^2 = 12 + (-1)^2 = 12 + 1 = \boxed{13} $

2) $ -q^2 - q = -(-1)^2 - (-1) = -(1) + 1 = -1 + 1 = \boxed{0} $

3) $ q + 2q = 3q = 3(-1) = \boxed{-3} $

4) $ -2q - 30 = -2(-1) - 30 = 2 - 30 = \boxed{-28} $

5) $ -q - 2q = -3q = -3(-1) = \boxed{3} $

6) $ 3q^2 - 3 = 3(-1)^2 - 3 = 3(1) - 3 = 3 - 3 = \boxed{0} $

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Part 5: Evaluate for $ s = -3 $

1) $ s^2 = (-3)^2 = \boxed{9} $

2) $ 2s - 1 = 2(-3) - 1 = -6 - 1 = \boxed{-7} $

3) $ s + s^3 = -3 + (-3)^3 = -3 + (-27) = -3 - 27 = \boxed{-30} $

4) $ s + (-1) = -3 + (-1) = \boxed{-4} $

5) $ -s + 27 = -(-3) + 27 = 3 + 27 = \boxed{30} $

6) $ s^2 - 1 = (-3)^2 - 1 = 9 - 1 = \boxed{8} $

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✔ Final Answers:

#### For $ x = 4 $:
1) 12
2) 7
3) 26
4) -16
5) 12
6) 15

#### For $ y = -2 $:
1) -9
2) -12
3) 20
4) 24
5) 16
6) -24

#### For $ t = -5 $:
1) 100
2) -20
3) 15
4) 32
5) 15
6) -5

#### For $ q = -1 $:
1) 13
2) 0
3) -3
4) -28
5) 3
6) 0

#### For $ s = -3 $:
1) 9
2) -7
3) -30
4) -4
5) 30
6) 8

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