# LinearEquations

# Beginning & Intermediate Algedra Review

## 0.1(3.2) Graphing Linear Equations in Two Variables

**Exercises 1-6**

Complete the ordered pairs . Then graph the equation by plotting the pointw and
drawing a line through

them.

1) y = x - 2 (0,),(,0),(3,)

**Exercises 13-20**

Find the intercepts for the graph of the equation.

2) 2x + y = 10

A) (5,0)(0,10)

B) (0,2)(0,6)

C) (2,0)(6,0)

D) (10,6)(2,10)

**Exercises 23-38**

Graph the linear equation .

3) -2x + y = 0

## 0.2(2.3) More on Solving Linear Equations

**Ecercises 5-22**

Solve the equation .

4) 6x - (3x - 1) = 2

A){1/9}

B){-1/9}

C){-1/3}

D){1/3}

**Exercises 23-46**

Solve the equation .

Solve the equation.

6) -0.01(200) + 0.04x = 0.02(200 + x)

A){150}

B){300}

C){290}

D){310}

7) 3(x + 2) - (3x + 6) = 0

A){0}

B){2}

C){Ø}

D){ all real numbers }

**Exercises 47-54**

Write the answer to the problem as an algebraic expression .

8) Two numbers have a sum of 34. One of the numbers is t. Find the other number.

A) t+34

B)34-t

C)t-34

D)34+t

## 0.3(2.8) Solving Linear Inequalities

**Exercises 3-6**

Write an inequality involving the variable x that describes the set of numbers
graphed.

**Exercises 7-16**

Write each inequality in interval notation and graph the interval on a number
line.

**Exercises 27-38**

Solve the inequality. Write the solution set in interval notation and graph it.

**Exercises 39-54**

Solve the inequality. Write the solution set in interval notation and graph it.

**Exercises 59-70**

Solve the inequality. Write the solution set in interval notation and graph it.

**Exercises 77-92**

Solve the problem.

14) Paul has grades of 77 and 86 on his first two tests . What must he score on
his third test in

order to have an average of at least 80?

A) at most81

B) at least77

C) at most 80

D) at least82

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