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