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

Show/ page