Midterm Practice #3 ORCA

Front

What is the definition of absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

Tags

CCSS.6.NS.C.7C

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Back

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What does it mean when an equation has no solution?

Back

An equation has no solution when there are no values that satisfy the equation, often resulting from contradictory statements.

Tags

CCSS.8.EE.C.7A

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Factor the expression: 25x^2 - 9.

Back

The factored form is (5x + 3)(5x - 3).

Tags

CCSS.HSA.APR.C.4

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What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

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What is the difference between a solution and a root in mathematics?

Back

A solution refers to the value(s) that satisfy an equation, while a root specifically refers to the value(s) that make a polynomial equal to zero.

Tags

CCSS.HSA-REI.B.4B

Front

What is the principle of factoring in algebra?

Back

Factoring involves rewriting an expression as a product of its factors, which can simplify solving equations.

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What does it mean for an inequality to be 'strict'?

Back

A strict inequality uses < or >, meaning the values cannot be equal, unlike non-strict inequalities (≤ or ≥) which allow equality.

Tags

CCSS.6.EE.B.8

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function, indicating the maximum or minimum value.