Chapter 2

Elementary Algebra · 775 exercises

Problem 13

Multiply. $$ 13(2 x+5) $$

3 step solution

Problem 13

Is the given value a solution to the linear equation? $$ 12 y-13=13 y+16 ; y=3 $$

3 step solution

Problem 13

Evaluate. \(-5 x+20,\) where \(x=4\)

3 step solution

Problem 14

Multiply. $$ (6 x-9) \cdot 3 $$

4 step solution

Problem 14

Solve and graph the solution set. In addition, present the solution set in interval notation. $$ 4 x>-8 $$

3 step solution

Problem 14

Graph all solutions on a number line and give the corresponding interval notation. $$ -5 \leq x \leq-1 $$

3 step solution

Problem 14

Solve. $$ 125=6 n $$

5 step solution

Problem 14

Set up an algebraic equation and then solve. The quotient of some number and 4 is 22 . Find the number.

5 step solution

Problem 14

Solve. $$ 12 y+15=-6 y+23 $$

4 step solution

Problem 14

Multiply. $$ -34(y-2) $$

3 step solution

Problem 14

Is the given value a solution to the linear equation? $$ -43 y+19=-23 y-19 ; y=13 $$

4 step solution

Problem 14

Evaluate. \(-5 y,\) where \(y=-1\)

2 step solution

Problem 15

Multiply. $$ 34(4 x 2-8 x+32) $$

5 step solution

Problem 15

Solve and graph the solution set. In addition, present the solution set in interval notation. $$ -7 x \leq 14 $$

3 step solution

Problem 15

Graph all solutions on a number line and give the corresponding interval notation. $$ -5

6 step solution

Problem 15

Solve. $$ 1.2 x-0.7=3 x+4.7 $$

4 step solution

Problem 15

Multiply. $$ -3(2 a+5 b-c) $$

5 step solution

Problem 15

Solve. $$ x+3=13 $$

3 step solution

Problem 15

Evaluate. \(34 a\), where \(a=32\)

2 step solution

Problem 16

Multiply. $$ -20(110 x 2-25 x-54) $$

3 step solution

Problem 16

Solve and graph the solution set. In addition, present the solution set in interval notation. $$ -2 x+5>9 $$

4 step solution

Problem 16

Graph all solutions on a number line and give the corresponding interval notation. $$ 0 \leq x<15 $$

4 step solution

Problem 16

Set up an algebraic equation and then solve. One integer is two units less than another. If their sum is \(-22,\) find the two integers.

6 step solution

Problem 16

Solve. $$ 2.1 x+6.1=-1.3 x+4.4 $$

4 step solution

Problem 16

Multiply. $$ -(2 y 2-5 y+7) $$

3 step solution

Problem 16

Solve. $$ y-4=22 $$

4 step solution

Problem 16

Evaluate. \(2(a-4),\) where \(a=-1\)

3 step solution

Problem 17

Multiply. $$ -(3 a-2 b+5 c-1) $$

4 step solution

Problem 17

Solve and graph the solution set. In addition, present the solution set in interval notation. $$ 7 x-3 \leq 25 $$

4 step solution

Problem 17

Graph all solutions on a number line and give the corresponding interval notation. $$ 10

4 step solution

Problem 17

Set up an algebraic equation and then solve. The sum of two consecutive integers is \(139 .\) Find the integers.

6 step solution

Problem 17

Solve. $$ 2.02 x+4.8=14.782-1.2 x $$

4 step solution

Problem 17

Multiply. $$ 5(y 2-6 y-9) $$

4 step solution

Problem 17

Solve. $$ -6+x=12 $$

4 step solution

Problem 17

Evaluate. \(-10(5-z),\) where \(z=14\)

3 step solution

Problem 18

Multiply. $$ -6(y 3+3 y 2-7 y+5) $$

5 step solution

Problem 18

Solve and graph the solution set. In addition, present the solution set in interval notation. $$ 12 x+7>-53 $$

4 step solution

Problem 18

Graph all solutions on a number line and give the corresponding interval notation. $$ -40 \leq x<-10 $$

3 step solution

Problem 18

Solve. $$ 5 n=-30 $$

4 step solution

Problem 18

Set up an algebraic equation and then solve. The sum of three consecutive integers is \(63 .\) Find the integers.

5 step solution

Problem 18

Solve. $$ -3.6 x+5.5+8.2 x=6.5+4.6 x $$

3 step solution

Problem 18

Solve. $$ 9+y=-4 $$

4 step solution

Problem 18

Multiply. $$ -6(5 x 2+2 x-1) $$

3 step solution

Problem 18

Evaluate. \(5 y-1,\) where \(y=-15\)

3 step solution

Problem 19

Simplify. $$ 5 a-7 b-3 a+5 b $$

4 step solution

Problem 19

Solve and graph the solution set. In addition, present the solution set in interval notation. $$ -2 x+5<-7 $$

4 step solution

Problem 19

Graph all solutions on a number line and give the corresponding interval notation. $$ 0

5 step solution

Problem 19

Set up an algebraic equation and then solve. The sum of three consecutive integers is \(279 .\) Find the integers.

5 step solution

Problem 19

Solve. $$ 12 x-23=x+15 $$

3 step solution

Problem 19

Solve. $$ x-12=13 $$

3 step solution

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