Does the graph show a function?
Integrated Math 1 Final Review

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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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