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![Page 1: Splash Screen. CCSS Content Standards A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Mathematical Practices.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697bff51a28abf838cbd575/html5/thumbnails/1.jpg)
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Content Standards
A.CED.1 Create equations and inequalities in one variable and use them to solve problems.
Mathematical Practices
3 Construct viable arguments and critiquethe reasoning of others.
8 Look for and express regularity in repeatedreasoning.
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You used properties of real numbers to evaluate expressions.
• Translate verbal expressions into algebraic expressions and equations, and vice versa.
• Solve equations using the properties of equality.
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• open sentence
• equation
• solution
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Verbal to Algebraic Expression
A. Write an algebraic expression to represent the verbal expression 7 less than a number.
Answer:
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Verbal to Algebraic Expression
A. Write an algebraic expression to represent the verbal expression 7 less than a number.
Answer: n – 7
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Verbal to Algebraic Expression
B. Write an algebraic expression to represent the verbal expression the square of a number decreased by the product of 5 and the number.
Answer:
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Verbal to Algebraic Expression
B. Write an algebraic expression to represent the verbal expression the square of a number decreased by the product of 5 and the number.
Answer: x2 – 5x
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A. 6x
B. x + 6
C. x6
D. x – 6
A. Write an algebraic expression to represent the verbal expression 6 more than a number.
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A. 6x
B. x + 6
C. x6
D. x – 6
A. Write an algebraic expression to represent the verbal expression 6 more than a number.
![Page 11: Splash Screen. CCSS Content Standards A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Mathematical Practices.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697bff51a28abf838cbd575/html5/thumbnails/11.jpg)
A. x3 – 2
B. 2x3
C. x2 – 2
D. 2 + x3
B. Write an algebraic expression to represent the verbal expression 2 less than the cube of a number.
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A. x3 – 2
B. 2x3
C. x2 – 2
D. 2 + x3
B. Write an algebraic expression to represent the verbal expression 2 less than the cube of a number.
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Algebraic to Verbal Sentence
A. Write a verbal sentence to represent 6 = –5 + x.
Answer:
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Algebraic to Verbal Sentence
A. Write a verbal sentence to represent 6 = –5 + x.
Answer: Six is equal to –5 plus a number.
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Algebraic to Verbal Sentence
B. Write a verbal sentence to represent 7y – 2 = 19.
Answer:
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Algebraic to Verbal Sentence
B. Write a verbal sentence to represent 7y – 2 = 19.
Answer: Seven times a number minus 2 is 19.
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A. The difference of a number and 3 is 7.
B. The sum of a number and 3 is 7.
C. The difference of 3 and a number is 7.
D. The difference of a number and 7 is 3.
A. What is a verbal sentence that represents the equation n – 3 = 7?
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A. The difference of a number and 3 is 7.
B. The sum of a number and 3 is 7.
C. The difference of 3 and a number is 7.
D. The difference of a number and 7 is 3.
A. What is a verbal sentence that represents the equation n – 3 = 7?
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A. Five is equal to the difference of 2 and a number.
B. Five is equal to twice a number.
C. Five is equal to the quotient of 2 and a number.
D. Five is equal to the sum of 2 and a number.
B. What is a verbal sentence that represents the equation 5 = 2 + x?
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A. Five is equal to the difference of 2 and a number.
B. Five is equal to twice a number.
C. Five is equal to the quotient of 2 and a number.
D. Five is equal to the sum of 2 and a number.
B. What is a verbal sentence that represents the equation 5 = 2 + x?
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Solve One-Step Equations
A. Solve m – 5.48 = 0.02. Check your solution.
m – 5.48 = 0.02 Original equation
m – 5.48 + 5.48 = 0.02 + 5.48 Add 5.48 to each side.
m = 5.5 Simplify.
Check m – 5.48 = 0.02 Original equation
Answer:
0.02 = 0.02 Simplify.
5.5 – 5.48 = 0.02 Substitute 5.5 for m.
?
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Solve One-Step Equations
Original equation
Simplify.
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Solve One-Step Equations
Answer:
Substitute 36 for t.
Simplify.
Check Original equation
?
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A. –8
B. –2
C. 2
D. 8
A. What is the solution to the equation x + 5 = 3?
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A. –8
B. –2
C. 2
D. 8
A. What is the solution to the equation x + 5 = 3?
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B. What is the solution to the equation
A. 5
B.
C. 15
D. 30
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B. What is the solution to the equation
A. 5
B.
C. 15
D. 30
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Solve a Multi-Step Equation
Solve 53 = 3(y – 2) – 2(3y – 1).
53 = 3(y – 2) – 2(3y – 1) Original equation
53 = 3y – 6 – 6y + 2 Apply the Distributive Property.
53 = –3y – 4 Simplify the right side.
57 = –3y Add 4 to each side.
–19 = y Divide each side by –3.
Answer:
![Page 30: Splash Screen. CCSS Content Standards A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Mathematical Practices.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697bff51a28abf838cbd575/html5/thumbnails/30.jpg)
Solve a Multi-Step Equation
Solve 53 = 3(y – 2) – 2(3y – 1).
53 = 3(y – 2) – 2(3y – 1) Original equation
53 = 3y – 6 – 6y + 2 Apply the Distributive Property.
53 = –3y – 4 Simplify the right side.
57 = –3y Add 4 to each side.
–19 = y Divide each side by –3.
Answer: The solution is –19.
![Page 31: Splash Screen. CCSS Content Standards A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Mathematical Practices.](https://reader035.fdocuments.net/reader035/viewer/2022062409/5697bff51a28abf838cbd575/html5/thumbnails/31.jpg)
What is the solution to 25 = 3(2x + 2) – 5(2x + 1)?
A. –6
B.
C.
D. 6
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What is the solution to 25 = 3(2x + 2) – 5(2x + 1)?
A. –6
B.
C.
D. 6
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A B
C D
Read the Test ItemYou are asked to find the value of the expression 4g – 2. Your first thought might be to find the value of g and then evaluate the expression using this value. Notice that you are not required to find the value of g. Instead, you can use the Subtraction Property of Equality.
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Solve the Test Item
Answer:
Original equation
Subtract 7 from each side.
Simplify.
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Solve the Test Item
Answer: C
Original equation
Subtract 7 from each side.
Simplify.
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A. 12
B. 6
C. –6
D. –12
If 2x + 6 = –3, what is the value of 2x – 3?
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A. 12
B. 6
C. –6
D. –12
If 2x + 6 = –3, what is the value of 2x – 3?