Final Alg 1 Review

Final Alg 1 Review

Assessment

Flashcard

Mathematics

9th - 12th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a solution of the inequality -2x + y ≤ -2?

Back

To determine if a point is a solution, substitute the x and y values into the inequality and check if the statement is true. For example, for the point (1, -1): -2(1) + (-1) ≤ -2 evaluates to -2 - 1 ≤ -2, which is true.

2.

FLASHCARD QUESTION

Front

Rewrite the equation -4x + 2y = 8 in slope-intercept form (y = mx + b).

Back

To isolate y, add 4x to both sides: 2y = 4x + 8. Then divide by 2: y = 2x + 4.

3.

FLASHCARD QUESTION

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1). For points (2, -4) and (3, 1), m = (1 - (-4)) / (3 - 2) = 5.

4.

FLASHCARD QUESTION

Front

Solve the equation 7x − 2(x + 12) = −5 − 2(1 − 3x).

Back

First, simplify both sides: 7x - 2x - 24 = -5 - 2 + 6x. Combine like terms to get x = -17.

5.

FLASHCARD QUESTION

Front

What is the solution to the equation -3(1 + 2r) − (r + 1) = −10r + 7r?

Back

Distributing gives -3 - 6r - r - 1 = -3r. Combine like terms to find r = -1.

6.

FLASHCARD QUESTION

Front

What does slope-intercept form of a linear equation look like?

Back

Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

7.

FLASHCARD QUESTION

Front

What is the y-intercept of the equation y = 2x + 4?

Back

The y-intercept is the value of y when x = 0. For y = 2(0) + 4, the y-intercept is 4.

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