Chapter 5
Elementary Algebra · 470 exercises
Problem 1
Simplify. $$ 5-1 $$
2 step solution
Problem 1
Write each expression using exponential form. $$ (2 x)(2 x)(2 x)(2 x)(2 x) $$
3 step solution
Problem 1
Multiply. $$ 5 x(-3 x 2 y) $$
4 step solution
Problem 1
Classify the given polynomial as linear, quadratic, or cubic. $$ 2 x+1 $$
2 step solution
Problem 1
Simplify. $$ 73 \cdot 76 $$
5 step solution
Problem 1
Add. $$ (2 x+1)+(-x+7) $$
4 step solution
Problem 2
Simplify. $$ 5-2 $$
2 step solution
Problem 2
Write each expression using exponential form. $$ (-3 y)(-3 y)(-3 y) $$
3 step solution
Problem 2
Multiply. $$ (-2 x 3 y 2)(-3 x y 4) $$
5 step solution
Problem 2
Classify the given polynomial as linear, quadratic, or cubic. $$ x 2+7 x+2 $$
3 step solution
Problem 2
Simplify. $$ 5956 $$
3 step solution
Problem 2
Add. $$ (-6 x+5)+(3 x-1) $$
4 step solution
Problem 3
Simplify. $$ (-7)-1 $$
3 step solution
Problem 3
Write each expression using exponential form. $$ -10 \cdot a \cdot a \cdot a \cdot a \cdot a \cdot a \cdot a $$
4 step solution
Problem 3
Multiply. $$ 12(4 x-3) $$
2 step solution
Problem 3
Classify the given polynomial as linear, quadratic, or cubic. $$ 2-3 x 2+x $$
3 step solution
Problem 3
Add. $$ (23 x+12)+(13 x-2) $$
3 step solution
Problem 4
Simplify. $$ -7-1 $$
2 step solution
Problem 4
Write each expression using exponential form. $$ 12 \cdot x \cdot x \cdot y \cdot y \cdot y \cdot y \cdot y \cdot y $$
3 step solution
Problem 4
Multiply. $$ -34(23 x-6) $$
4 step solution
Problem 4
Classify the given polynomial as linear, quadratic, or cubic. $$ 4 x $$
2 step solution
Problem 4
Simplify. $$ x 3 y_{2} \cdot x y 3 $$
5 step solution
Problem 4
Add. $$ (13 x-34)+(56 x+18) $$
5 step solution
Problem 5
Simplify. $$ 12-3 $$
3 step solution
Problem 5
Write each expression using exponential form. $$ -6 \cdot(x-1)(x-1)(x-1) $$
3 step solution
Problem 5
Multiply. $$ 3 x(5 x-2) $$
3 step solution
Problem 5
Classify the given polynomial as linear, quadratic, or cubic. $$ x 2-x 3+x+1 $$
3 step solution
Problem 5
Simplify. $$ -5 a 3 b 2 c \cdot 6 a 2 b c 2 $$
4 step solution
Problem 5
Add. $$ (2 x+1)+(x-3)+(5 x-2) $$
3 step solution
Problem 6
Simplify. $$ 53-2 $$
2 step solution
Problem 6
Write each expression using exponential form. $$ (9 a b)(9 a b)(9 a b)\left(a_{2}-b\right)\left(a_{2}-b\right) $$
3 step solution
Problem 6
Multiply. $$ -4 x(2 x-1) $$
3 step solution
Problem 7
Simplify. $$ \text { (35) }-2 $$
3 step solution
Problem 7
Simplify. $$ 27 \cdot 25 $$
4 step solution
Problem 7
Multiply. $$ x 2(3 x+2) $$
7 step solution
Problem 7
Add. $$ (x 2-3 x+7)+(3 x 2-8 x-5) $$
3 step solution
Problem 7
Divide. $$ 125 a 3 b 2 c-10 a b c $$
5 step solution
Problem 8
Simplify. $$ (12)-5 $$
3 step solution
Problem 8
Simplify. $$ 39 \cdot 3 $$
4 step solution
Problem 8
Multiply. $$ -6 x 2(5 x+3) $$
5 step solution
Problem 8
Classify the given polynomial as a monomial, binomial, or trinomial and state the degree. $$ x 2 y 2 $$
2 step solution
Problem 8
Add. $$ (-5 x 2-1+x)+(-x+7 x 2-9) $$
4 step solution
Problem 9
Simplify. $$ (-23)-4 $$
3 step solution
Problem 9
Simplify. $$ -24 $$
4 step solution
Problem 9
Multiply. $$ 2 a b(4 a-2 b) $$
3 step solution
Problem 9
Simplify. $$ -5 x 3 y 0(z 2) 3 \cdot 2 x 4(y 3) 2 z $$
2 step solution
Problem 9
Add. $$ (12 x 2-13 x+16)+(-32 x 2+23 x-1) $$
3 step solution
Problem 10
Simplify. $$ (-13)-3 $$
3 step solution
Problem 10
Multiply. $$ 5 a_{2} b\left(a_{2}-b_{2}\right) $$
3 step solution
Problem 10
Simplify. $$ (-25 x 6 y 5 z) 0 $$
4 step solution