Chapter 7 - Algebra Practice Worksheet
Chapter 7 - Algebra Practice Worksheet
Chapter 7 - Algebra Practice Worksheet
2. Multiplying expressions
1. Multiply (x+3)2.
2. Multiply (x-8)(x-2).
3. Multiply (x-y)2.
3. Algebraic identities
1. Factor x2 64.
2. Factor 4y2 16.
4. Linear equations
Solve for x.
1. x+10 =20
2
2.
27
3x
-9=171
3. 3x + 16 = -9x 8
6. Quadratic equations
1. Factor x2 x 20.
2. Factor x2 + 18x + 81.
3. If the factors of an equation are (x + 6)(x 3), what are the solutions of that equation?
7. Linear inequalities
Simplify:
1. 2x < 8x + 24
2. -3x > -9 + 6x
3. x + 7 > -11
8. Functions
1. f(x) = x + 9
What is f(9)?
What is f(-9)?
2. f(x) = x3
What is f(-1)?
What is f(y)?
3. f(x) = x2 + 1
g(x) = x 1
What is g(f(2))?
9. Symbol functions
1. x# = x2 1
What is 2#?
2. x@y = (x + y)2
What is 1@1?
1. What is f(3)?
(x + 4) + (y + 4) = 64?
2
1. f(x) = |x| + 1
Chapter 7 Answers
1. Operations with expressions
1. x3 + 6x2 + 8x
2. 4(4x4 + 3y2 + x 1)
2. Multiplying expressions
1. x2 + 6x + 9
2. x2 10x + 16
3. x2 2xy + y2
3. Algebraic identities
1. (x + 8)(x 8)
2. (2y 4)(2y + 4)
4. Linear equations
1. x = 30
2. x = .05
3. x = -2
6. Quadratic equations
1. (x + 4)(x 5)
2. (x + 9)(x + 9)
3. -6 and 3
7. Linear inequalities
1. x > -4
2. x < -1
3. x > -18
8. Functions
1. 18 and 0
2. -1 and y3
3. 4
9. Symbol functions
1. 3
2. 1
16. Solving incomplete points and equations
1. -1
2. 2
3. 8
4. -2