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Unit 1 Study Guide

Last updated over 1 year ago
34 questions
Topic 1: The Real Number System
1

Name all sets to which the number belongs

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Name all sets to which the number belongs

1

Name all sets to which the number belongs

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Name all sets to which the number belongs

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Name all sets to which the number belongs

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Name all sets to which the number belongs

Topic 2: Radicals and Rational Exponents
1

Simplify the expression

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Simplify the expression

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Simplify the expression

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Simplify the expression

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Simplify the expression

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Simplify the expression

Topic 3: Precision and Accuracy in Calculations
Monique is having her living room carpeted. The dimensions of her living room are 4.9 meters by 6 meters.
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The length of tack strips needed to hold the carpet in place is determined by the perimeter of the carpet. What is the perimeter of the carpet?

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The amount of carpet needed to cover the living room floor is determined by the area of the carpet. What is the area of the carpet?

Topic 4: Write, Interpret, and Simplify Expressions
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At the movies, children's tickets are $6 each and adult's tickets are $10 each. Shandra buys 14 tickets. Let a be the number of adults going to the movie. Write an algebraic expression to represent the total price Shandra pays.

1

A work crew is building a new biking path that will be 28 miles long. Each day, the crew builds 0.5 miles of path. Write an expression for the length of the bike path left to build at any point during the construction. Let t equal the length of the bike path.

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Simplify the expression then substitute the given value for each variable and evaluate.


if m = 4

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Simplify the expression then substitute the given value for each variable and evaluate.


p = 2

1

Simplify the expression then substitute the given value for each variable and evaluate.


x = 1.5

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Simplify the expression then substitute the given value for each variable and evaluate.


x = 3

Topic 5: Write and solve equations
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Topic 6: Rewrite Formulas and Solve Literal Equations
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Rewrite the formula so that is expresses the height, h, in terms of the volume, V, and base radius, r.

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Solve the literal equation a(bx+c)=d for x. State any necessary restrictions on the letters representing constants in the equation. Then use the solution of the literal equations to solve -3(2x+1)=4

Write and solve inequalities
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1

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Micah is shopping for work shirts. The short-sleeve shirts cost $18 each and the long-sleeve shirts cost $24 each. He wants to buy 2 more short-sleeve shirts than long-sleeve shirts, and he is willing to spend no more than $120 total. How many long-sleeve shirts can he buy?

Topic 8: Write and solve compound inequalities
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1

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Explain why the result is a simple inequality. Use a graph to justify your answer.