NC Math 3 Check-Up 1

Answer explanation

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NC.M3.A-APR.6

• 63

Answer explanation

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NC.M3.A-APR.6

The dimensions of a rectangular box are such that the length is 1.75 inches more than twice the width. The height. is three-fourths of the width. The volume of the box is 21.5 ft³. What is the width, to the nearest tenth of a foot, of the box?

• 2.4 ft

• 2.1 ft

• 3.4 ft

• 3.8 ft

Answer explanation

NC.M3.A-CED.1

Create equations and inequalities in one variable that represent absolute value, polynomial, exponential, and rational relationships and use them to solve problems algebraically and graphically.

Tips & Tricks

Most equations can be solved graphically. To do so, set y = left side of the equation and y = right side of the equation and then locate the intersection.

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NC.M3.A-CED.1

Answer explanation

NC.M3.A-SSE.2

Use the structure of an expression to identify ways to write equivalent expressions.

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NC.M3.A-SSE.2

Answer explanation

NC.M3.A-SSE.2

Use the structure of an expression to identify ways to write equivalent expressions.

Tips & Tricks

When trying to find equivalent expressions, graph your given expression and each of the answer choices to see which one is a match.

Tags

NC.M3.A-SSE.2

Answer explanation

NC.M3.F-BF.1B

Build a new function, in terms of a context, by combining standard function types using arithmetic operations.

Tips & Tricks

When looking for equivalent expressions, graph the problem along with the answer choices and find the one that matches!

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NC.M3.F-BF.1.b

A scientist placed 50 bacteria in a petri dish. The number of bacteria doubles every 8 hours. How many bacteria, to the nearest bacterium, will be in the dish after 24 hours?

Mathematical Equivalence

ON

Answer explanation

NC.M3.A-CED.1

Create equations and inequalities in one variable that represent absolute value, polynomial, exponential, and rational relationships and use them to solve problems algebraically and graphically

Tags

NC.M3.A-CED.1

Mathematical Equivalence

ON

Answer explanation

NC.M3.F-BF.1a

Build polynomial and exponential functions with real solution(s) given a graph, a description of a relationship, or ordered pairs (include reading these from a table).

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NC.M3.F-BF.1.a

Mathematical Equivalence

ON

Answer explanation

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NC.M3.F-LE.4

A linear function passes through the point (7, 8). Which statement must be true about the function's inverse?

• The inverse is linear and must pass through the point (7, 8).

• The inverse is linear and must pass through the point (8, 7).

• The inverse is quadratic and must pass through the point (7, 8).

• The inverse is quadratic and must pass through the point (8, 7).

Answer explanation

NC.M3.F-BF.4a

Understand the inverse relationship between exponential and logarithmic, quadratic and square root, and linear to linear functions and use this relationship to solve problems using tables, graphs, and equations.

INVERSE FUNCTIONS SWITCH X AND Y.

Therefore (7, 8) will change to (8, 7) on the inverse.

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NC.M3.F-BF.4.a