Test Page
Topic A. Solving Equations and Evaluating Expressions Objectives: Use additional resources to practice algebra, as needed.
 Learn to check answers in some way other than looking “in the back of the book.”
 Use the distributive property and other properties to simplify algebraic expressions and check your work.
 Solve and simplify linear equations and check solutions of equations by plugging them back in.
 Solve equations with variables in the denominator and check solutions by plugging them in.
 Solve equations of those two types with multiple variables for one variable, resulting in a formula for that one variable.
 Evaluate variable expressions when given the value of each variable, using the correct order of operations.
Solution:  Partial Check: Use 
Solution:  Partial Check: Use 
Solution:  Partial Check: Use 
Solution:  Partial Check: Use 
 Add or subtract the same number or expression to both sides of the equation.
 Multiply or divide both sides of the equation by the same nonzero number or expression.
Solution:  Check: 
Solution:  Check by plugging in the answer for y: 
Solution:  Check: 
Solution Method: Crossmultiply:  Alternate Solution Method: Multiply by common denominator  Check: 
Here, the two sides aren’t exactly equal. But that isn’t surprising, because we rounded the final answer to the original problem, so we don’t expect the two sides here to be exactly equal. 
Solution Method: Crossmultiply:  Alternate Solution Method: Multiply by common denominator  Check: 
Solution Method: Crossmultiply:  Solution Method: Multiply by common denominator  Check: 
Solution Method: Crossmultiply:  Alternate Solution Method: Multiply by common denominator  Check: 
Substitute 
Solution Method: Crossmultiply:  Alternate Solution Method: Multiply by common denominator  Check: 
Substitute for d on the right. 
 All operations inside symbols of grouping (parentheses) from the inside out.
 All operations of exponents or roots.
 All multiplications and divisions, in order from left to right.
 All additions and subtractions, in order from left to right.
Solution:  Notice that the 7 here is in parentheses, but it is not an OPERATION in parentheses, so there is no need to think about that first rule in the order of operations. 
Part I.

Part II.
