Unit 1 Math 1 Review

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To solve for x, first multiply both sides by 2 to eliminate the fraction: 14 = x + 4. Then, subtract 4 from both sides to find x = 10.

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To solve for x, first subtract 30 from both sides: -7x = 28. Then, divide both sides by -7 to find x = -4.

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What is the sum of three consecutive even integers if it equals -66?

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Let the integers be x, x+2, and x+4. The equation is x + (x+2) + (x+4) = -66. Solving gives x = -22, so the middle integer is -22.

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To solve for x, first add 5x to both sides: 3x + 10 = 25. Then, subtract 10 from both sides: 3x = 15. Finally, divide by 3 to find x = 5.

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First, distribute -4: -8x + 16 + 5x + 4 = 8. Combine like terms: -3x + 20 = 8. Subtract 20 from both sides: -3x = -12. Divide by -3 to find x = 4.

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Define a variable in an equation.

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A variable is a symbol (often x, y, or z) that represents an unknown value in an equation.

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What is an equation?

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An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

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What are consecutive even integers?

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Consecutive even integers are integers that follow each other in the sequence of even numbers, such as 2, 4, 6 or -4, -2, 0.

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Explain the concept of isolating a variable.

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Isolating a variable means rearranging an equation to get the variable on one side by itself, making it easier to solve.

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What does it mean to solve for x?

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To solve for x means to find the value of x that makes the equation true.