Answer: so here is what you have to do
Step-by-step explanation:Determine Whether a Number
Is a Solution to an Equation
2 Solve Linear Equations
3 Determine Whether an Equation Is a Conditional Equation, Identity, or Contradiction
Preparing for Linear Equations
Before getting started, take this readiness quiz. If you get a problem wrong, go back to the section cited and review the material.
P1. Determine the additive inverse of 5.
P2. Determine the multiplicative inverse of - 3.
P3. Use the Reduction Property to simplify 15 # 5x.
P4. Find the Least Common Denominator of 3 and 5 .
8 12
P5. Use the Distributive Property to remove the parentheses: 61z - 22
P6. What is the coefficient of - 4x?
P7. Simplify by combining like terms: 41y - 22 - y + 5 P8. Evaluate the expression -51x + 32 - 8 when x = -2
P9. Isx = 3inthedomainof 2 ?Isx = -3inthe domain? x + 3
[Section R.3, p. 21] [Section R.3, pp. 23–24]
[Section R.3, pp. 25–26] [Section R.3, pp. 27–28]
[Section R.3, pp. 29–30] [Section R.5, p. 41] [Section R.5, pp. 41–43] [Section R.5, pp. 40–41]
[Section R.5, pp. 43–44]
In Words
In the equation 2
2 + 5 is the left side of the equation and 0 is the right side. In this equation only the left side contains the variable, y. In the equation 4 +5=-2x+10,theexpression
4 + 5 is the left side of the equation and - 2 + 10 is the right side. In this equation both sides have expressions that contain the variable, x.
1 Determine Whether a Number Is a Solution to an Equation
An equation in one variable is a statement made up of two expressions that are equal, and in the statement, at least one of the expressions contains the variable. The expres- sions are called the sides of the equation. Examples of equations in one variable are
2y + 5 = 0 4x + 5 = -2x + 10 3 = 9 z+2
In this section, we will concentrate on solving linear equations in one variable.