Algebra 1 Chapter 2 Review Flashcards

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Questions and Answers

What is the equation that describes the relationship where the difference of f and five times g is the same as 25 minus f?

f - 5g = 25 - f

What formula represents the perimeter of a rectangle?

P = 2l + 2w

What is the algebraic expression for 'j plus 16 is 35'?

j + 16 = 35

What is the solution for v in the equation v - 9 = 14?

23 Signup and view all the answers

What is the solution for c in the equation c/4 = -9/8?

-9/2 Signup and view all the answers

What is the solution for x in the equation x/9 = 10?

90 Signup and view all the answers

What is the solution for v in the equation -v/5 = -45?

225 Signup and view all the answers

What is the solution for t in the equation 3t + 7 = -8?

-5 Signup and view all the answers

What is the solution for x in the equation 9x + 27 = -72?

-11 Signup and view all the answers

What is the solution for c in the equation 7c + 12 = -4c + 78?

6 Signup and view all the answers

What is the solution for a in the equation 6(3a + 1) - 30 = 3(2a - 4)?

1 Signup and view all the answers

What is the result when evaluating 4a - |3b + 2c| for a = -2, b = -3, and c = 2?

-13 Signup and view all the answers

What is the result when evaluating 3|3b - 8c| - 3 for a = -2, b = -3, and c = 2?

72 Signup and view all the answers

What are the solutions for n in the equation |n - 3| = 5?

{8, 2} Signup and view all the answers

What is the solution for the equation |v - 2| = -5?

no solution Signup and view all the answers

What are the solutions for t in the equation |4t - 8| = 20?

{7, -3} Signup and view all the answers

Are the ratios 9/11 and 81/99 equivalent?

False Signup and view all the answers

Are the ratios 4/3 and 6/8 equivalent?

False Signup and view all the answers

What is the value of 'a' in the equation 3/8 = 15/a?

40 Signup and view all the answers

What is the value of 'g' in the equation 15/35 = g/7?

3 Signup and view all the answers

Study Notes

Algebraic Expressions and Equations

f-5g==25-f: Represents the equation stating the difference between f and five times g equals 25 minus f.
P=2l+2w: Formula for the perimeter of a rectangle, where P is perimeter, l is length, and w is width.

Solving Equations

j + 16 = 35: Equation indicating that j added to 16 equals 35.
v - 9 = 14: Solving yields v = 23.
c/4 = -9/8: Solving gives c = -9/2.
x/9 = 10: Results in x = 90.
-v/5 = -45: Solutions lead to v = 225.
3t + 7 = -8: Simplifying yields t = -5.
9x + 27 = -72: Results in x = -11.
7c + 12 = -4c + 78: Yields c = 6.
6(3a + 1) - 30 = 3(2a - 4): Results in a solution of a = 1.
Evaluate 4a - |3b + 2c| for a = -2, b = -3, c = 2 leads to -13.

Absolute Value and Evaluations

Evaluate 3|3b - 8c| - 3 with a = -2, b = -3, c = 2 yields 72.
|n - 3| = 5: The solutions are {8, 2}, indicating possible values for n.
|v - 2| = -5: This has no solution as absolute values cannot be negative.
|4t - 8| = 20 results in t values of {7, -3}.

Ratios and Proportions

Are 9/11 and 81/99 equivalent?: Yes, they simplify to the same value.
Are 4/3 and 6/8 equivalent?: No, they simplify to different values.

Additional Problem Solutions

3/8 = 15/a leads to a solution of a = 40.
15/35 = g/7 leads to a solution g = 3.

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Description

Test your understanding of key concepts from Algebra 1 Chapter 2 with these flashcards. Each card features important equations and definitions, helping you reinforce your knowledge of perimeter, solving equations, and algebraic expressions. Perfect for study sessions or quick reviews!