Chapter 2
Technical Mathematics with Calculus · 365 exercises
Problem 1
Remove parentheses and simplify. $$-(x+2)$$
3 step solution
Problem 1
Divide and simplify. $$a^{2}+15 a+56 \text { by } a+7$$
8 step solution
Problem 1
Multiply and simplify. $$(x-3)(x+4-y)$$
3 step solution
Problem 1
Multiply and simplify.$$(x+y)(x+z)$$
4 step solution
Problem 1
Divide and simplify. $$15 x^{3}+3 x^{2} \text { by } x$$
4 step solution
Problem 1
Multiply and simplify. $$\left(x^{2}\right)\left(x^{4}\right)$$
3 step solution
Problem 1
Divide and simplify. $$x^{7} \text { by } x^{4}$$
3 step solution
Problem 1
Combine as indicated and simplify. $$8 x+2 x$$
3 step solution
Problem 1
Evaluate expression. $$2^{3}$$
2 step solution
Problem 1
Which of the following mathematical expressions are also algebraic expressions?$$x+2 y$$
3 step solution
Problem 2
Remove parentheses and simplify. $$-(b-c)$$
2 step solution
Problem 2
Divide and simplify. $$a^{4}+3 a^{2}+2 \text { by } a^{2}+1$$
5 step solution
Problem 2
Square each expression. $$(m+n)$$
3 step solution
Problem 2
Multiply and simplify.$$(4 a-3)(a+2)$$
4 step solution
Problem 2
Multiply and simplify. $$(a-d)(a-2 d+5)$$
3 step solution
Problem 2
Divide and simplify. $$42 m^{6}-2 m^{3} \mathrm{by} 2 m$$
4 step solution
Problem 2
Multiply and simplify. $$(2 a)\left(3 a^{2}\right)$$
3 step solution
Problem 2
Divide and simplify. $$21 a^{4} \text { by } 3 a^{2}$$
4 step solution
Problem 2
Combine as indicated and simplify. $$6 y-8 y$$
3 step solution
Problem 2
Evaluate expression. $$2^{5}$$
2 step solution
Problem 3
Remove parentheses and simplify. $$3-(-x+1)$$
3 step solution
Problem 3
Divide and simplify. $$a^{2}+a-56 \text { by } a-7$$
8 step solution
Problem 3
Square each expression. $$(a-d)$$
3 step solution
Problem 3
Multiply and simplify.$$(4 m+n)\left(2 m^{2}-n\right)$$
3 step solution
Problem 3
Multiply and simplify. $$\left(w^{2}+w-5\right)(4 w-2)$$
3 step solution
Problem 3
Divide and simplify. $$36 d^{5}-6 d^{2} \text { by } 3 d$$
3 step solution
Problem 3
Divide and simplify. $$5 x y z \text { by } x y$$
3 step solution
Problem 3
Multiply and simplify. $$\left(x^{2}\right)\left(-x^{3}\right)$$
4 step solution
Problem 3
Combine as indicated and simplify. $$5 a+2 a$$
3 step solution
Problem 3
Evaluate expression. $$4^{3}$$
3 step solution
Problem 4
Remove parentheses and simplify. $$-(y-3)+2$$
3 step solution
Problem 4
Divide and simplify. $$4 x^{2}+23 x+15 \text { by } 4 x+3$$
5 step solution
Problem 4
Square each expression. $$(z-w)$$
3 step solution
Problem 4
Divide and simplify. $$22 x^{2}+11 y^{5} \text { by } 11$$
3 step solution
Problem 4
Multiply and simplify.$$(y+2)(y-2)$$
7 step solution
Problem 4
Multiply and simplify. $$\left(a^{2}-5\right)\left(3 a^{2}-7 a-4\right)$$
7 step solution
Problem 4
Divide and simplify. $$m^{3} n \mathrm{by} \mathrm{mn}$$
3 step solution
Problem 4
Multiply and simplify. $$(5 w)\left(3 w^{2}\right)$$
4 step solution
Problem 4
Combine as indicated and simplify. $$-2 m+5 m$$
3 step solution
Problem 4
Evaluate expression. $$3^{3}$$
3 step solution
Problem 4
Which of the following mathematical expressions are also algebraic expressions?$$ x^{2}-z^{3}$$
3 step solution
Problem 5
Remove parentheses and simplify. $$a+(b+a)$$
3 step solution
Problem 5
Divide and simplify. $$2 x^{2}+11 x+5 \text { by } 2 x+1$$
7 step solution
Problem 5
Square each expression. $$(B+D)$$
3 step solution
Problem 5
Divide and simplify. $$48 c^{4}+36 c^{5} \text { by } 12 c^{2}$$
4 step solution
Problem 5
Multiply and simplify.$$(2 x-y)(x+y)$$
4 step solution
Problem 5
Multiply and simplify. $$(x+3.88)\left(x^{3}-2.15 x-6.03\right)$$
3 step solution
Problem 5
Multiply and simplify. $$(2 a)\left(3 b^{2}\right)$$
4 step solution
Problem 5
Divide and simplify. $$4 a^{2} d \text { by }(-2 a d)$$
4 step solution
Problem 5
Combine as indicated and simplify. $$8 a b-2 a b$$
3 step solution