0. Review of College Algebra

Solving Linear Equations

0. Review of College Algebra

Solving Linear Equations

Struggling with Trigonometry?

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Multiple Choice

Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation.
$-2\left(5-3x\right)+x=7x-10$

Identity

Conditional

Inconsistent

Verified step by step guidance

Distribute the -2 across the terms inside the parentheses: -2(5) + (-2)(-3x) + x = 7x - 10.

Simplify the left side: -10 + 6x + x = 7x - 10.

Combine like terms on the left side: -10 + 7x = 7x - 10.

Subtract 7x from both sides to isolate the constant terms: -10 = -10.

Since the equation simplifies to a true statement without any variables, it is an identity, meaning it is true for all values of x.

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Textbook Question

CONCEPT PREVIEW Work each problem.Match each polynomial in Column I with its factored form in Column II. I IIa. x² + 10xy + 25y² A. (x + 5y) (x - 5y)b. x² - 10xy + 25y² B. (x + 5y)²c. x² - 25y² C. (x - 5y)²d. 25y² - x² D. (5y + x) (5y - x)

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Textbook Question

CONCEPT PREVIEW Work each problem.Match each polynomial in Column I with its factored form in Column II. I IIa. 8x³ - 27 A. (3 - 2x) (9 + 6x + 4x²)b. 8x³ + 27 B. (2x - 3) (4x² + 6x + 9)c. 27 - 8x³ C. (2x + 3) (4x² - 6x + 9)

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Textbook Question

CONCEPT PREVIEW Which of the following is the correct factorization of x⁴ - 1?A. (x² - 1) (x² + 1)B. (x² + 1) (x + 1) (x - 1)C. (x² - 1)²D. (x - 1)² (x + 1)²

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Solving Linear Equations practice set

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Struggling with Trigonometry?

Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation. −2(5−3x)+x=7x−10-2\left(5-3x\right)+x=7x-10−2(5−3x)+x=7x−10

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Solving Linear Equations practice set

Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation.
$-2\left(5-3x\right)+x=7x-10$