Integrated Math 1 Final Review

Integrated Math 1 Final Review

Assessment

Flashcard

Mathematics

9th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

Does the graph show a function?

Back

A graph represents a function if every input (x-value) has exactly one output (y-value). If a vertical line intersects the graph at more than one point, it is not a function.

2.

FLASHCARD QUESTION

Front

Write the equation of the line with a slope of 6 that goes through the point (-3,7).

Back

The equation of a line in slope-intercept form is given by: y = mx + b, where m is the slope and b is the y-intercept. To find b, substitute the point (-3, 7) into the equation: 7 = 6(-3) + b, which gives b = 25. Thus, the equation is y = 6x + 25.

3.

FLASHCARD QUESTION

Front

If Dexter pays $8.90 for his hamburger, how many toppings did he get?

Back

To find the number of toppings, we need to know the cost of the hamburger and the cost per topping. Assuming the base price of the hamburger is $5.90 and each topping costs $1, we can set up the equation: 5.90 + 1t = 8.90, where t is the number of toppings. Solving gives t = 3.

4.

FLASHCARD QUESTION

Front

Solve the equation: 3x - 3 = 2x + 6.

Back

To solve for x, first isolate x on one side: 3x - 2x = 6 + 3, which simplifies to x = 9.

5.

FLASHCARD QUESTION

Front

What is the slope of the line through the points (-6,8) and (2,24)?

Back

The slope (m) of a line through two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1). Here, m = (24 - 8) / (2 - (-6)) = 16 / 8 = 2.

6.

FLASHCARD QUESTION

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as a set of ordered pairs, a graph, or an equation.

7.

FLASHCARD QUESTION

Front

What is slope-intercept form?

Back

Slope-intercept form is a way to express the equation of a line as y = mx + b, where m is the slope and b is the y-intercept.

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