Chapter 4

For the following problems, answer the question of how many. $$ (a+b) \text { 's in } 12(a+b) ? $$

Find the domain of the equations. Assume that the independent variable is the variable that appears in the expression to the right of the equal sign. $$ s=7 t $$

For the following problems, find the products. $$ (y+9)^{2} $$

Simplify each of the following expressions by using the distributive property and combining like terms. $$ x^{2}+3 x+7\left[x+4 x^{2}+3\left(x+x^{2}\right)\right] $$

For the following problems, classify each polynomial as a monomial, binomial, or trinomial. State the degree of each polynomial and write the numerical coefficient of each term. $$ 7 y^{3}+8 $$

Simplify by removing the parentheses. $$ -\left(-3 s^{2}-7 s+9\right) $$

Observe the equations and state the relationship being expressed. $$ b=\frac{3}{4} a $$

What does the coefficient of a quantity tell us?

Simplify the algebraic expressions for the following problems. $$ (4 x-9 y)^{2} $$

For the following problems, answer the question of how many. $$ a^{4} \text { 's in } 6 a^{4} ? $$

Find the domain of the equations. Assume that the independent variable is the variable that appears in the expression to the right of the equal sign. $$ y=\frac{3}{x} $$

For the following problems, find the products. $$ (y+1)^{2} $$

For the following problems, simplify each of the algebraic expressions. $$ x+3 x $$

For the following problems, classify each polynomial as a monomial, binomial, or trinomial. State the degree of each polynomial and write the numerical coefficient of each term. $$ a^{4}+1 $$

Find the following products and simplify. $$ (a+1)(a+4) $$

Determine the coefficients. In the term \(6 x^{3}\), the coefficient of (a) \(x^{3}\) is _________. (b) 6 is _________.

Simplify the algebraic expressions for the following problems. $$ 3 x^{2}(2 x+5)(3 x+1) $$

For the following problems, answer the question of how many. $$ c^{3} \text { 's in } 2 a^{2} b c^{3} ? $$

Find the domain of the equations. Assume that the independent variable is the variable that appears in the expression to the right of the equal sign. $$ y=\frac{2}{x} $$

For the following problems, find the products. $$ (a-4)^{2} $$

For the following problems, simplify each of the algebraic expressions. $$ 4 x+7 x $$

For the following problems, classify each polynomial as a monomial, binomial, or trinomial. State the degree of each polynomial and write the numerical coefficient of each term. $$ 2 b^{5}-8 $$

Find the following products and simplify. $$ (m-9)(m-2) $$

Observe the equations and state the relationship being expressed. $$ w=4 z^{3}-21 $$

In the term \(3 x(y-1)\), the coefficient of (a) \(x(y-1)\) is __________. (b) \((y-1)\) is _________. (c) \(3(y-1)\) is ______. (d) \(x\) is _______. (e) 3 is ________. (f) The numerical coefficient is _________.

Simplify the algebraic expressions for the following problems. $$ (3 a-b)(4 a-3 b) $$

For the following problems, answer the question of how many. $$ (2 x+3 y)^{2} \text { 's in } 5(x+2 y)(2 x+3 y)^{3} ? $$

Find the domain of the equations. Assume that the independent variable is the variable that appears in the expression to the right of the equal sign. $$ m=\frac{-16}{h} $$

For the following problems, find the products. $$ (a-6)^{2} $$

For the following problems, simplify each of the algebraic expressions. $$ 9 a+12 a $$

For the following problems, classify each polynomial as a monomial, binomial, or trinomial. State the degree of each polynomial and write the numerical coefficient of each term. $$ 5 x $$

Find the following products and simplify. $$ (2 x+4)(x+5) $$

In the term \(10 a b^{4}\), the coefficient of (a) \(a b^{4}\) is _________. (b) \(b^{4}\) is ________. (c) \(a\) is _________. (d) 10 is _________. (e) \(10 a b^{3}\) is _________.

Simplify the algebraic expressions for the following problems. $$ -6 y^{2}\left(2 y+3 y^{2}-4\right) $$

Find the domain of the equations. Assume that the independent variable is the variable that appears in the expression to the right of the equal sign. $$ k=\frac{4 t^{2}}{t-1} $$

For the following problems, find the products. $$ (a-7)^{2} $$

For the following problems, simplify each of the algebraic expressions. $$ 5 m-3 m $$

For the following problems, classify each polynomial as a monomial, binomial, or trinomial. State the degree of each polynomial and write the numerical coefficient of each term. $$ 7 a $$

Find the following products and simplify. $$ (x+y)(2 x-3 y) $$

What is an algebraic expression?

Simplify the algebraic expressions for the following problems. $$ -4 b^{3}\left(b^{2}-1\right)^{2} $$

For the following problems, a term will be given followed by a group of its factors. List the coefficient of the given group of factors. $$ 8 z, z $$

Find the domain of the equations. Assume that the independent variable is the variable that appears in the expression to the right of the equal sign. $$ t=\frac{5}{s-6} $$

For the following problems, find the products. $$ (b+10)^{2} $$

For the following problems, simplify each of the algebraic expressions. $$ 10 x-7 x $$

For the following problems, classify each polynomial as a monomial, binomial, or trinomial. State the degree of each polynomial and write the numerical coefficient of each term. $$ 5 x^{3}+2 x+3 $$

Find the following products and simplify. $$ \left(3 a^{2}-1\right)\left(5 a^{2}+a\right) $$

Use numerical evaluation on the equations. Geometry (circumference of a circle) \(C=2 \pi r .\) Find \(C\) if \(\pi\) is approximated by 3.14 and \(r=5\)

Why is the number 14 considered to be an expression?

Simplify the algebraic expressions for the following problems. $$ \left(2 a^{3}+3 b^{2}\right)^{2} $$