Chapter 5

Write "identity," "contradiction," or "conditional." If you can, find the solution by making an educated guess based on your knowledge of arithmetic. $$ x+1=10 $$

Find a solution to each of the following linear equations in two variables and write the solution as an ordered pair. $$ y=7 x-20, \text { if } x=3 $$

Solve the equations. $$ y+3=11 $$

Solve the following linear inequalities. $$ y-6 \leq 5 $$

This year an item costs \(\$ 23\), an increase of \(\$ 4\) over last year's price. What was last year's price?

Translate the following phrases or sentences into mathematical expressions or equations. Eleven more than a number.

Solve \(3 y-1=11\) for \(y\).

Solve \(6 a=42\) for \(a\).

Write "identity," "contradiction," or "conditional." If you can, find the solution by making an educated guess based on your knowledge of arithmetic. $$ y-4=7 $$

Find a solution to each of the following linear equations in two variables and write the solution as an ordered pair. $$ m=-6 n+1, \text { if } n=2 $$

Solve the equations. $$ a-7=4 $$

Solve the equations and inequalities for the following problems. $$ 6 a+3=-10 $$

Solve the following linear inequalities. $$ x+4>9 $$

The perimeter of a triangle is 54 inches. If each side has the same length, find the length of a side.

Translate the following phrases or sentences into mathematical expressions or equations. Nine minus a number.

Solve \(\frac{5 m}{2}+6=1\) for \(m\).

Solve \(-12 m=16\) for \(m\)

Write "identity," "contradiction," or "conditional." If you can, find the solution by making an educated guess based on your knowledge of arithmetic. $$ 5 a=25 $$

Find a solution to each of the following linear equations in two variables and write the solution as an ordered pair. $$ b=3 a-7, \text { if } a=0 $$

Solve the equations. $$ r-1=16 $$

Solve the equations and inequalities for the following problems. $$ \frac{-3 a}{8}=6 $$

Solve the following linear inequalities. $$ 4 x-1 \geq 15 $$

Eight percent of a number is \(36 .\) What is the number?

Translate the following phrases or sentences into mathematical expressions or equations. A quantity less twenty.

Solve \(\frac{y}{8}=-2\) for \(y\)

Write "identity," "contradiction," or "conditional." If you can, find the solution by making an educated guess based on your knowledge of arithmetic. $$ \frac{x}{4}=9 $$

Find a solution to each of the following linear equations in two variables and write the solution as an ordered pair. $$ 10 x-5 y-20=0, \text { if } x=-8 $$

Solve the equations. $$ a+2=0 $$

Solve the equations and inequalities for the following problems. $$ \frac{x}{-2}+16=11 $$

Solve the following linear inequalities. $$ -5 y+16 \leq 7 $$

Garden A produces 5.8 times as many vegetables as garden \(\mathrm{B}\). Together the gardens produce 102 pounds of vegetables. How many pounds of vegetables does garden A produce?

For the following problems, translate the following phrases or sentences into mathematical expressions or equations. Twelve divided by twice a number is fifty-five.

Translate the following phrases or sentences into mathematical expressions or equations. Four times a number is thirty two.

Solve \(\frac{9 k}{2 h}+5=p-2\) for \(k\).

Solve \(6.42 x=1.09\) for \(x\).

Write "identity," "contradiction," or "conditional." If you can, find the solution by making an educated guess based on your knowledge of arithmetic. $$ \frac{18}{b}=6 $$

Find a solution to each of the following linear equations in two variables and write the solution as an ordered pair. $$ 3 a+2 b+6=0, \text { if } a=-1 $$

Solve the equations. $$ x+6=-4 $$

Solve the equations and inequalities for the following problems. $$ \frac{y-9}{4}+6=3 $$

Solve the following linear inequalities. $$ 7(4 s-3)<2 s+8 $$

The sum of two consecutive even numbers is 498 . What are the two numbers?

Translate the following phrases or sentences into mathematical expressions or equations. One third of a number is six.

Solve and check each equation. $$ 16 x-3-15 x=8 \text { for } x. $$

Solve \(\frac{5 k}{12}=2\) for \(k\)

Write "identity," "contradiction," or "conditional." If you can, find the solution by making an educated guess based on your knowledge of arithmetic. $$ y-2=y-2 $$

For the following problems, solve the linear equations in two variables. $$ y=8 x+14, \text { if } x=1 $$

Solve the equations. $$ x-5=-6 $$

Solve the equations and inequalities for the following problems. $$ 5 b-8=7 b+12 $$

Solve the following linear inequalities. $$ 5(1-4 h)+4<(1-h) 2+6 $$

If eighteen is subtracted from some number the result is fifty-two. What is the number?