Chapter 1: Test Your Proficiency

Directions: •Select a section to work on.•Work out each problem on a piece of paper. •Click to check your answer.•For detailed steps click on the provided link.•Move on to the next problem or return to the menu.

Sections

1-1: Order of Operations; Evaluating Expressions

1-2: Sets of Numbers; Simplifying Expressions

1-3: Solving Equations; Word Problems

1-4: Solving Absolute Value Equations

1-5: Solving Inequalities

1-6: Solving Compound and Absolute Value Inequalities

2

1. Find the value of the expression.

13 5 3 4

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1-1: Order of Operations

1-1: Order of Operations

38

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2

1. Find the value of the expression.

13 5 3 4

2. Find the value of the expression.

18 2 1

3

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1-1: Order of Operations

5

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1-1: Order of Operations

2. Find the value of the expression.

18 2 1

3

2

3. Evaluate the expression if 3, 2, 1.

2 3 5

a b w

a b w

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1-1: Order of Operations

103

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1-1: Order of Operations

2

3. Evaluate the expression if 3, 2, 1.

2 3 5

a b w

a b w

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1-1: Order of Operations

4. Evaluate the expression if 3, 2, 1.

3 5 3

a b w

b a w

36

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1-1: Order of Operations

4. Evaluate the expression if 3, 2, 1.

3 5 3

a b w

b a w

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1-1: Order of Operations

3

5. Evaluate the expression if 3, 2, 1.

4 6 4

a b w

a b w

a b w

62

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1-1: Order of Operations

3

5. Evaluate the expression if 3, 2, 1.

4 6 4

a b w

a b w

a b w

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1-2: Sets of Numbers; Simplifying Expressions

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Name the set(s) of numbers to which each real number belongs.

71. 81 2. 3. 8 4. 18

9

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rational

integer

natural

whole

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1-2: Sets of Numbers; Simplifying Expressions

Name the set(s) of numbers to which each real number belongs.

71. 81 2. 3. 8 4. 18

9rational irrational rational

integer

5. Simplify the expression.

8 3 4 7 6x y y x

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1-2: Sets of Numbers; Simplifying Expressions

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31 10x y

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1-2: Sets of Numbers; Simplifying Expressions

5. Simplify the expression.

8 3 4 7 6x y y x

6. Simplify the expression.

310 15 2 4

5x y x y

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1-2: Sets of Numbers; Simplifying Expressions

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2 11x y

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1-2: Sets of Numbers; Simplifying Expressions

6. Simplify the expression.

310 15 2 4

5x y x y

1. Write an algebraic expression to represent the verbal expression.

three times the sum of a number and seven

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1-3: Solving Equations; Word Problems

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3 7x

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1-3: Solving Equations; Word Problems

1. Write an algebraic expression to represent the verbal expression.

three times the sum of a number and seven

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1-3: Solving Equations; Word Problems

2. Write an algebraic expression to represent the verbal expression.

4five less than the product of the cube of a number and

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34 5x

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1-3: Solving Equations; Word Problems

2. Write an algebraic expression to represent the verbal expression.

4five less than the product of the cube of a number and

3. Solve. 10 1 3 2 5y y

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1-3: Solving Equations; Word Problems

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1

1-3: Solving Equations; Word Problems

3. Solve. 10 1 3 2 5y y

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4 3

4. Solve. 9 2 3

x x

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1-3: Solving Equations; Word Problems

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8

21

1-3: Solving Equations; Word Problems

4 3

4. Solve. 9 2 3

x x

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5. Solve. 6 2 3 8 5 2 7x x x

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1-3: Solving Equations; Word Problems

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5

1-3: Solving Equations; Word Problems

5. Solve. 6 2 3 8 5 2 7x x x

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6. The perimeter of a rectangle is 96 meters. If the length of the

rectangle is 3 more than twice the width, find the length and width

of the rectangle. Write an equation and then solve.

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1-3: Solving Equations; Word Problems

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2 2 2 3 96

The width is 15 meters and the length is 33 meters.

x x

1-3: Solving Equations; Word Problems

6. The perimeter of a rectangle is 96 meters. If the length of the

rectangle is 3 more than twice the width, find the length and width

of the rectangle. Write an equation and then solve.

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7. Three brothers went golfing. Two rented clubs for $8 each.

How much were the green fees for each person if they spent

a total of $68.50? Write an equation and then solve.

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1-3: Solving Equations; Word Problems

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3 16 68.5

The green fees for each person were $17.50.

x

1-3: Solving Equations; Word Problems

7. Three brothers went golfing. Two rented clubs for $8 each.

How much were the green fees for each person if they spent

a total of $68.50? Write an equation and then solve.

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1. Solve. 3 5 11x

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1-4: Solving Absolute Value Equations

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16, 2

3

1-4: Solving Absolute Value Equations

1. Solve. 3 5 11x

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2. Solve. 4 5 3 5a

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1-4: Solving Absolute Value Equations

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7, 3

1-4: Solving Absolute Value Equations

2. Solve. 4 5 3 5a

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3. Solve. 4 1 12 9x

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1-4: Solving Absolute Value Equations

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3. Solve. 4 1 12 9x

1-4: Solving Absolute Value Equations

1. Solve the inequality. Use solution set notation.

Graph the solution on a number line.

7 3 4 2y y

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1-5: Solving Inequalities

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1y y

1-5: Solving Inequalities

1. Solve the inequality. Use solution set notation.

Graph the solution on a number line.

7 3 4 2y y

-2 -1 0

2. Solve the inequality. Use solution set notation.

Graph the solution on a number line.

1 23

w

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1-5: Solving Inequalities

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3w w

1-5: Solving Inequalities

-4 -3 -2

2. Solve the inequality. Use solution set notation.

Graph the solution on a number line.

1 23

w

1. Solve the inequality. Use solution set notation.

Graph the solution on a number line.

5 2 11 or 5 1 19b b

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1-6: Solving Compound and Absolute Value Inequalities

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4 or 3b b b

-4 -3 -2

1-6: Solving Compound and Absolute Value Inequalities

1. Solve the inequality. Use solution set notation.

Graph the solution on a number line.

5 2 11 or 5 1 19b b

2. Solve the inequality. Use solution set notation.

Graph the solution on a number line.

9 4 7 25x

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1-6: Solving Compound and Absolute Value Inequalities

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4 8x x

4 8

1-6: Solving Compound and Absolute Value Inequalities

2. Solve the inequality. Use solution set notation.

Graph the solution on a number line.

9 4 7 25x

3. Solve the inequality. Use solution set notation.

Graph the solution on a number line.

3 9x

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1-6: Solving Compound and Absolute Value Inequalities

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12 or 6x x x

-12 6

1-6: Solving Compound and Absolute Value Inequalities

3. Solve the inequality. Use solution set notation.

Graph the solution on a number line.

3 9x

4. Solve the inequality. Use solution set notation.

Graph the solution on a number line.

3 8 7x

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1-6: Solving Compound and Absolute Value Inequalities

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15

3x x

1/3 5

1-6: Solving Compound and Absolute Value Inequalities

4. Solve the inequality. Use solution set notation.

Graph the solution on a number line.

3 8 7x