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LinearEquations

Beginning & In termediate 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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