Table of Contents
Evaluating One-Step Algebraic Expressions
Evaluating Two-Step Algebraic Expressions
Evaluating Algebraic Expressions with Up to Two Steps
Simplifying Linear Expressions with 3 Terms
Simplifying Linear Expressions with 4 Terms
Simplifying Linear Expressions with 5 Terms
Simplifying Linear Expressions with 6 Terms
Simplifying Expressions Using the Distributive Property
Number Problems
Solving One-Step Equations
Solving Two-Step Equations
Solving Equations (Variable on Both Sides)
Combining Like Terms to Solve Equations
Using the Distributive Property to Solve Equations
Solving Quadratic Equations
Solving One-Step Inequalities
(Answer Key Included)
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Name:
Date:
Evaluating One-Step Algebraic
Expressions
Evaluate each expression when: y = 2
1.
y× y=
2.
y× y=
3.
y + 19=
4.
y+ 5=
5.
9‒y=
6.
y× y=
7.
y× y=
8.
y÷ y=
9.
y+ 6=
10.
y + 17=
11.
4+ y=
12.
7‒y=
13.
y÷ y=
14.
y ‒ 18=
1
Name:
Date:
Evaluating Two-Step Algebraic
Expressions
Evaluate each expression when: y = 2
1.
6y + 7 =
2.
9y ‒ y =
3.
9y ‒ 5 =
4.
8y + 1 =
5.
9y + 2 =
6.
7y + 7 =
7.
8y ÷ 3 =
8.
y× y‒y=
9.
2y + y =
10.
5y ‒ 2 =
11.
2(4 + y) =
12.
y× y‒y=
13.
4y ‒ y =
14.
8y + y =
2
Name:
Date:
Evaluating Algebraic Expressions with
Up to Two Steps
Evaluate each expression when: y = 6
1.
(7y + 6) + (y ‒ 4) =
2.
6y + 8y ‒ 8 =
3.
6y ‒ 9 + 6y =
4.
3 + (6y + 8) =
5.
5y + 9 + (3y ‒ 2) =
6.
(9y + 9) + (y ‒ 2) =
7.
(y2 + 9) ‒ 7(5 + y) =
8.
1 + (y + 2) =
9.
7y + 6 + (5y ‒ 1) =
10.
3
y2 + 9y2 =
Name:
Date:
Simplifying Linear Expressions with 3
Terms
Simplify the expressions.
1.
‒y + 9 ‒ 2y
2.
y + 9 + 6y
3.
7s + 1 + s
4.
‒3a ‒ 2 + 4a
5.
‒2k ‒ 1 + 5k
6.
‒4k + 8 + 7k
7.
6 + 8a ‒ 2a
8.
‒7s ‒ 7 ‒ 2s
9.
‒5y ‒ 9 ‒ 4y
10.
‒5y + 2 + 6y
4
Name:
Date:
Simplifying Linear Expressions with 4
Terms
Simplify the expressions.
1.
‒2 + 3y + 8 ‒ 2y
2.
s ‒ 4 ‒ 9s + 5
3.
3x ‒ 9 ‒ x + 7
4.
8x ‒ 5 ‒ 7x + 9
5.
2 + m ‒ 1 + 4m
6.
8 + a ‒ 9 + 7a
7.
2 + 9y ‒ 1 + y
8.
‒1 + 3k + 9 ‒ 7k
9.
4k ‒ k + 5 + 5
10.
5
7a ‒ 5a + 8 + 5
Name:
Date:
Simplifying Linear Expressions with 5
Terms
Simplify the expressions.
1.
‒5 + 5b ‒ 5b ‒ 3 + 5b
2.
‒5 ‒ 6z + 8z ‒ 7 + 9z
3.
9x ‒ 7 ‒ 9x + 5 ‒ 9
4.
b + 1 ‒ 2 ‒ 4b + 7b
5.
‒7 + x ‒ 7x ‒ 4 + 5x
6.
9z ‒ 5 ‒ 8z + 1 ‒ 8
7.
a ‒ 9a + a + 3 + 1
8.
‒4 ‒ 5m + m ‒ 3 + 2m
9.
‒8 + a ‒ a ‒ 9 ‒ 9a
10.
6
‒6 + s ‒ 2s ‒ 1 + 8s
Name:
Date:
Simplifying Linear Expressions with 6
Terms
Simplify the expressions.
1.
‒2x + 3 + x + 1 + 7x ‒ 6
2.
‒4 + 6 ‒ 5b + b ‒ 7 + 5b
3.
3a + 4 + 5a + 8 + 9a + 8
4.
‒7b + 3 + 2b + 3 + 4b ‒ 3
5.
9 + 8y ‒ 8 + 2y ‒ 7 + 3y
6.
3k + 2 ‒ 4k ‒ 7 + 2k ‒ 6
7.
‒3 + 7 ‒ 8m + 2m ‒ 6 + 9m
8.
‒4 + 8 ‒ 5s + 5s ‒ 5 + 5s
9.
2m + 9 ‒ 7m + 4 + 3m + 5
10.
7
7z + 3 ‒ 8z + 1 + 2z + 9
Name:
Date:
Simplifying Expressions Using the
Distributive Property
Simplify the expressions.
1.
3 + 5(5x + 7)
2.
8 ‒ 2(‒s + 8)
3.
3 + 8(‒6s + 5)
4.
4 ‒ 6(‒2s + 3)
5.
3 ‒ 6(4b ‒ 6)
6.
1 + 4(‒4x + 5)
7.
8 ‒ 3(‒6b + 5)
8.
5 + 1(m + 7)
9.
8 ‒ 2(2m ‒ 9)
10.
8
4 + 1(5x ‒ 6)
Name:
Date:
Number Problems
Solve.
1.
The sum of a number and four is 14. Find the number.
2.
The sum of a number and 10 is 17. Find the number.
3.
A number diminished by 4 is 7. Find the number.
4.
A number increased by eight is 17. Find the number.
5.
Four-fifths of a number is 4. Find the number.
6.
The sum of a number and seven is 12. Find the number.
7.
The sum of a number and two is 8. Find the number.
8.
Four less than a number is 6. Find the number.
9.
A number diminished by 8 is 8. Find the number.
10.
A number increased by five is 7. Find the number.
9
Name:
Date:
Solving One-Step Equations
Solve for the variable.
1.
7 + y = 16
2.
1 = 16 ‒ 5y
3.
14 = y + 5
4.
6+y=8
5.
y‒6=0
6.
9 + 7y = 44
7.
2+y=9
8.
9 ‒ 1y = 8
9.
y + 7 = 12
10.
4 × y = 28
10
Name:
Date:
Solving Two-Step Equations
Solve for the variable.
1.
7=y+6
2.
7 + 7y = 56
3.
2=8‒y
4.
11 ‒ 1y = 8
5.
9 = 81 ÷ y
6.
3=9‒y
7.
5=y+4
8.
8y + 7 = 79
9.
7 = 21 ‒ 7y
10.
59 = 8y ‒ 5
11
Name:
Date:
Solving Equations (Variable on Both
Sides)
Solve for the variable.
1.
45 ‒ b = 3 + 6b
2.
27 ‒ a + 10 = 6 + 3a + 3
3.
7x = 48 ‒ x
4.
135 ‒ 7m = 7 + 9m
5.
18 + y = 4y
6.
33 + y = 9 + 4y + 9
7.
74 ‒ 8x = 6 + 9x
8.
4 + 6b + 3 = 51 ‒ b + 12
9.
2 + 7a = 30 + 3a
10.
16 + 7m = 8m + 7
6 + 2y + 7 = 24 + y + -2
12.
7z + 4 = 34 + z
11.
12
Name:
Date:
Combining Like Terms to Solve
Equations
Solve for the variable.
1.
82= 9m + 4m ‒ 9
2.
59= 7y ‒ 4 + 2y
3.
-19= m + 5 ‒ 9m
4.
127= 5y ‒ 5 + 8y ‒ 1 + 7y ‒ y
5.
4z + 7z ‒ 4 = 62
6.
9z ‒ 6 + 7z ‒ 2 = 136
7.
10= 9z + 1 ‒ 6z
13
Name:
Date:
Using the Distributive Property to Solve
Equations
Solve for the variable.
1.
4(9y ‒ 6) ‒ 9 = 255
2.
7(7y ‒ 8) = 287
3.
5(8m ‒ 4) ‒ 5 = 55
4.
2(4y + 5) = 66
5.
88= 2(7m + 2)
6.
8(4y ‒ 3) = 8
14
Name:
Date:
Solving Quadratic Equations
Solve for the variable.
1.
10y2 + y + 10 = 265
2.
418= 8y2 + 3y + 5
3.
9m2 + 8m + 11 = 187
4.
322= 12z2 + 2z + 12
5.
12m2 + m + 1 = 1 464
6.
11z2 + 7z + 11 = 29
7.
11m2 + 4m + 4 = 740
15
Name:
Date:
Solving One-Step Inequalities
Solve.
1.
4.
7.
2x > 6
x
>4
7
9>8+x
2.
5.
8.
6+x≥8
3.
6.
x
<4
8
9>x-8
16
9.
9≤8-x
8x ≥ 4
x+2≤4
Name:
Date:
Answers Key
Page 1: Evaluating One-Step Algebraic Expressions
1. 4
2. 4
3. 21
4. 7
5. 7
6. 4
10. 19
11. 6
12. 5
13. 1
14. -16
7. 4
8. 1
9. 8
7. 5.333
8. 2
9. 6
8. 9
9. 77
Page 2: Evaluating Two-Step Algebraic Expressions
1. 19
2. 16
3. 13
4. 17
5. 20
6. 21
10. 8
11. 12
12. 2
13. 6
14. 18
Page 3: Evaluating Algebraic Expressions with Up to Two Steps
1. 50
2. 76
3. 63
4. 47
5. 55
6. 67
7. -32
10. 360
Page 4: Simplifying Linear Expressions with 3 Terms
1. ‒3y + 9
2. 7y + 9
3. 8s + 1
8. ‒9s ‒ 7
9. ‒9y ‒ 9
10. y + 2
4. a ‒ 2
5. 3k ‒ 1
6. 3k + 8
7. 6a + 6
Page 5: Simplifying Linear Expressions with 4 Terms
1. y + 6
2. ‒8s + 1
3. 2x ‒ 2
4. x + 4
7. 10y + 1
8. ‒4k + 8
9. 3k + 10
10. 2a + 13
5. 5m + 1
6. 8a ‒ 1
5. ‒x ‒ 11
6. z ‒ 12
5. 13y ‒ 6
6. k ‒ 11
Page 6: Simplifying Linear Expressions with 5 Terms
1. 5b ‒ 8
2. 11z ‒ 12
3. -11
4. 4b ‒ 1
7. ‒7a + 4
8. ‒2m ‒ 7
9. ‒9a ‒ 17
10. 7s ‒ 7
Page 7: Simplifying Linear Expressions with 6 Terms
1. 6x ‒ 2
2. b ‒ 5
3. 17a + 20
4. ‒b + 3
7. 3m ‒ 2
8. 5s ‒ 1
9. ‒2m + 18
10. z + 13
Page 8: Simplifying Expressions Using the Distributive Property
1. 25x + 38
2. 2s ‒ 8
3. ‒48s + 43
4. 12s ‒ 14
7. 18b ‒ 7
8. m + 12
9. ‒4m + 26
10. 5x ‒ 2
5. 5
7. 6
5. ‒24b + 39
6. ‒16x + 21
Page 9: Number Problems
1. 10
2. 7
3. 11
4. 9
6. 5
8. 10
9. 16
10. 2
Page 10: Solving One-Step Equations
1. y = 9
2. y = 3
3. y = 9
4. y = 2
5. y = 6
17
6. y = 5
7. y = 7
8. y = 1
Name:
Date:
9. y = 5
10. y = 7
Page 11: Solving Two-Step Equations
1. y = 1
2. y = 7
9. y = 2
10. y = 8
3. y = 6
4. y = 3
5. y = 9
6. y = 6
7. y = 1
8. y = 9
Page 12: Solving Equations (Variable on Both Sides)
1. b = 6
2. a = 7
3. x = 6
4. m = 8
5. y = 6
8. b = 8
9. a = 7
10. m = 9
11. y = 9
12. z = 5
6. y = 5
7. x = 4
6. x ≥ 1/2
7. x < 1
Page 13: Combining Like Terms to Solve Equations
1. 7
2. 7
3. 3
4. 7
5. 6
6. 9
7. 3
Page 14: Using the Distributive Property to Solve Equations
1. 8
2. 7
3. 2
4. 7
5. 6
6. 1
Page 15: Solving Quadratic Equations
1. 5
2. 7
3. 4
4. 5
5. 11
6. 1
7. 8
Page 16: Solving One-Step Inequalities
1. x > 3
2. x ≥ 2
8. x < 17
9. x ≤ 2
3. x ≤ -1
4. x > 28
18
5. x < 32