Unit 1 Study Guide

Last updated over 1 year ago

34 questions

Topic 1: The Real Number System

Topic 2: Radicals and Rational Exponents

Topic 3: Precision and Accuracy in Calculations

Topic 4: Write, Interpret, and Simplify Expressions

Topic 5: Write and solve equations

Topic 6: Rewrite Formulas and Solve Literal Equations

Write and solve inequalities

Topic 8: Write and solve compound inequalities

Unit 1 Study Guide

Unit 1 Study Guide

Name all sets to which the number belongs

Name all sets to which the number belongs

Name all sets to which the number belongs

Name all sets to which the number belongs

Name all sets to which the number belongs

Name all sets to which the number belongs

Simplify the expression

Simplify the expression

Simplify the expression

Simplify the expression

Simplify the expression

Simplify the expression

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?

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?

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.

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.

Simplify the expression then substitute the given value for each variable and evaluate.if m = 4

Simplify the expression then substitute the given value for each variable and evaluate.p = 2

Simplify the expression then substitute the given value for each variable and evaluate.x = 1.5

Simplify the expression then substitute the given value for each variable and evaluate.x = 3

Rewrite the formula so that is expresses the height, h, in terms of the volume, V, and base radius, r.

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

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?

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

Name all sets to which the number belongs

Name all sets to which the number belongs

Name all sets to which the number belongs

Name all sets to which the number belongs

Name all sets to which the number belongs

Name all sets to which the number belongs

Simplify the expression

Simplify the expression

Simplify the expression

Simplify the expression

Simplify the expression

Simplify the expression

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?

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?

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.

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.

Simplify the expression then substitute the given value for each variable and evaluate.if m = 4

Simplify the expression then substitute the given value for each variable and evaluate.p = 2

Simplify the expression then substitute the given value for each variable and evaluate.x = 1.5

Simplify the expression then substitute the given value for each variable and evaluate.x = 3

Rewrite the formula so that is expresses the height, h, in terms of the volume, V, and base radius, r.

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

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?

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

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

if m = 4

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

p = 2

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

x = 1.5

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

x = 3

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

if m = 4

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

p = 2

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

x = 1.5

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

x = 3