Algebra 1 Midterm Review

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What is the range of a mapping?

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The range of a mapping is the set of all possible output values (y-values) that result from applying the function to its domain.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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Back

The solution to the equation is x = 30.

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How do you find the rate of change?

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The rate of change is found by dividing the change in the dependent variable by the change in the independent variable. For example, if Jack is 43 feet away after 5 seconds and 58 feet away after 10 seconds, the rate of change is (58 - 43) / (10 - 5) = 3 feet per second.

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CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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If Mrs. Taylor was 10 feet off the ground at 0 seconds and 20 feet at 5 seconds, what is her rate in feet per second?

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Her rate is 2 feet per second, calculated as (20 - 10) / (5 - 0).

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CCSS.HSF-LE.A.1B

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Write an equation for the caterer charging $100 for 10 people and $175 for 25 people.

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The equation is y = 5x + 50, where y is the total cost and x is the number of people.

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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What is a function in mathematics?

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A function is a relation that assigns exactly one output value for each input value.

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CCSS.8.F.A.1

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Define the domain of a function.

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The domain of a function is the set of all possible input values (x-values) for which the function is defined.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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What is the slope-intercept form of a linear equation?

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The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

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CCSS.8.EE.B.6

CCSS.8.F.A.3

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

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The slope is calculated using the formula m = (y2 - y1) / (x2 - x1).

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CCSS.8.EE.B.5

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What does it mean for an equation to have no solution?

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An equation has no solution when there are no values that satisfy the equation, often resulting in a contradiction.

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CCSS.8.EE.C.7A