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Determine Whether a Number is a Solution of an Equation
In the following exercises, determine whether each given value is a solution to the equation.
Model the Subtraction Property of Equality
In the following exercises, write the equation modeled by the envelopes and counters and then solve using the subtraction property of equality.
Solve Equations using the Subtraction Property of Equality
In the following exercises, solve each equation using the subtraction property of equality.
Solve Equations using the Addition Property of Equality
In the following exercises, solve each equation using the addition property of equality.
Translate Word Phrase to Algebraic Equations
In the following exercises, translate the given sentence into an algebraic equation.
The sum of and is equal to
The difference of and is equal to
The product of and is equal to
The quotient of and is equal to
Twice the difference of and gives
The sum of eight times and is
Translate to an Equation and Solve
In the following exercises, translate the given sentence into an algebraic equation and then solve it.
Nine more than is equal to
The sum of and is
The difference of and is equal to
less than is
less than gives
Insurance Vince’s car insurance has a deductible. Find the amount the insurance company will pay, for an claim by solving the equation
$1300
Insurance Marta’s homeowner’s insurance policy has a deductible. The insurance company paid to repair damages caused by a storm. Find the total cost of the storm damage, by solving the equation
Sale purchase Arthur bought a suit that was on sale for off. He paid for the suit. Find the original price, of the suit by solving the equation
$460
Sale purchase Rita bought a sofa that was on sale for She paid a total of including sales tax. Find the amount of the sales tax, by solving the equation
Is a solution to the equation How do you know?
Write the equation in words. Then make up a word problem for this equation.
ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.
ⓑ What does this checklist tell you about your mastery of this section? What steps will you take to improve?
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