Chapter 3

Complete the sentence. If \(a\) and \(b\) are two quantities measured in the same unit, then the \(?\) of \(a\) to \(b\) is \(\frac{a}{b}\)

Consider the statement “10% of 160 is 16.” Write an equation that represents the statement.

A formula is an algebraic ____ ? that relates two or more real-life quantities.

State the inverse operation needed to solve the equation. $$ x+5=13 $$

Give an example of rounding error.

Identify the like terms in the expression. \(3 x^{2}+5 x+3+x\)

Name two pairs of inverse operations.

Linear equations with the same solution(s) are called ____ ? equations.

Complete the sentence. A rate compares two quantities measured in ? units.

You can ____ ? a formula to express one quantity in terms of the others.

State the inverse operation needed to solve the equation. $$ x-4=-9 $$

The solution of \(13 x=6\) rounded to the nearest hundredth is 0.46 Which of the following is a better way to list the solution? Explain. $$ \text { A. } x=0.46 $$ $$B. x ? 0.46$$

Is the equation \(-2(4-x)=2 x-8\) an identity? Explain why or why not.

Identify the like terms in the expression. \(8 x-4+5 x^{2}-4 x\)

Match the property of equality with its description. Addition Property of Equality A. If \(a=b,\) then \(c a=c b\) B. If \(a=b,\) then \(a-c=b-c\) C. If \(a=b,\) then \(a+c=b+c\) D. If \(a=b\) and \(c \neq 0,\) then \(\frac{a}{c}=\frac{b}{c}\)

Complete the sentence. A unit rate is a rate per ? given unit.

Write an equation for each question. Do not solve the equation. 15% of what number is 12?

Solve the equation for the indicated variable. $$r-s=t ; r$$

State the inverse operation needed to solve the equation. $$ 7 x=28 $$

Identify the coefficient of each variable term. $$ 16+3 y=22 $$

Identify the like terms in the expression. \(2 t+t^{2}+6 t^{2}-6 t\)

Match the property of equality with its description. Multiplication Property of Equality A. If \(a=b,\) then \(c a=c b\) B. If \(a=b,\) then \(a-c=b-c\) C. If \(a=b,\) then \(a+c=b+c\) D. If \(a=b\) and \(c \neq 0,\) then \(\frac{a}{c}=\frac{b}{c}\)

Tell whether each equation is linear or not linear. Explain your answer. $$a^{2}+1=9$$

Complete the sentence. You can use \(?\) to change from one unit of measure to another.

Write an equation for each question. Do not solve the equation. 99 is what percent of 212?

Identify the like terms in the expression. \(4 x+2(x+1)\)

State the inverse operation needed to solve the equation. $$ 36=\frac{x}{6} $$

Identify the coefficient of each variable term. $$ 3 x+12=8 x-8 $$

Match the property of equality with its description. Division Property of Equality A. If \(a=b,\) then \(c a=c b\) B. If \(a=b,\) then \(a-c=b-c\) C. If \(a=b,\) then \(a+c=b+c\) D. If \(a=b\) and \(c \neq 0,\) then \(\frac{a}{c}=\frac{b}{c}\)

Tell whether each equation is linear or not linear. Explain your answer. $$y+16=5$$

Write the ratio in simplest form. $$\frac{36}{45}$$

Solve the equation for the indicated variable. $$3 y=x ; y$$

Write an equation for each question. Do not solve the equation. What is 6% of 27?

Identify the like terms in the expression. \(3-m+2(m-2)\)

Decide whether the equation is true or false. Use the distributive property to explain your answer. $$ 3(2+5)=3(2)+5 $$

Identify the coefficient of each variable term. $$ 4 x-2 x=6 $$

Match the property of equality with its description. Subtraction Property of Equality A. If \(a=b,\) then \(c a=c b\) B. If \(a=b,\) then \(a-c=b-c\) C. If \(a=b,\) then \(a+c=b+c\) D. If \(a=b\) and \(c \neq 0,\) then \(\frac{a}{c}=\frac{b}{c}\)

Tell whether each equation is linear or not linear. Explain your answer. $$4+2 r=-10$$

Write the ratio in simplest form. $$\frac{12}{10}$$

Solve the equation for the indicated variable. $$ 2 j+5=k ; j $$

Write an equation for each question. Do not solve the equation. 13 is 45% of what number?

Identify the like terms in the expression. \(8-3(x+4)+3 x\)

Decide whether the equation is true or false. Use the distributive property to explain your answer. $$ (2+5) 3=2(3)+5(3) $$

Identify the coefficient of each variable term. $$ 5 x-4 x+3=9-x $$

Solve the equation. Check your solution in the original equation. $$ 3 x=18 $$

Tell whether each equation is linear or not linear. Explain your answer. $$3 x^{2}=8$$

Write the ratio in simplest form. 14 to 21

Solve the equation for the indicated variable. $$ x=\frac{1}{2}(y+4) ; y $$

Solve the equation. \(4 x+3=11\)

Decide whether the equation is true or false. Use the distributive property to explain your answer. $$ 8(6-4)=8(6)-8(4) $$