Chapter 11

Translate each phrase or sentence into a mathematical expression or equation. Twelve more than a number.

For problems \(1-10\), specify each term. $$ 6 a-2 b+5 c $$

When three times a number is decreased by \(5,\) the result is \(-23 .\) Find the number.

Use the multiplication/division property of equality to solve each equation. Be sure to check each solution. $$ 7 x=21 $$

Verify that 5 is a solution to \(m+6=11\).

Simplify each expression by combining like terms. $$4 x+3 x+6 x$$

Specify the terms in each expression. $$x+7$$

Translate each phrase or sentence into a mathematical expression or equation. Eight minus a number.

For problems \(1-10\), specify each term. $$ 9 x-6 y+1 $$

When five times a number is increased by \(7,\) the result is five less than seven times the number. Find the number.

For problems 1 and 2 specify each term. $$ 8 m-2 n-4 $$

Use the multiplication/division property of equality to solve each equation. Be sure to check each solution. $$ -5 x=65 $$

Verify that -5 is a solution to \(2 m-4=-14\).

Simplify each expression by combining like terms. $$5 a+8 b+6 a-2 b$$

Specify the terms in each expression. $$3 m-6 n$$

Translate each phrase or sentence into a mathematical expression or equation. An unknown quantity less fourteen.

Two consecutive numbers add to 35 . Find the numbers.

In the expression \(-9 a\), how many a's are indicated?

Use the multiplication/division property of equality to solve each equation. Be sure to check each solution. $$ \frac{x}{4}=-8 $$

Verify that 0 is a solution to \(5 x+1=1\).

Simplify each expression by combining like terms. $$10 m-6 n-2 n-m+n$$

Specify the terms in each expression. $$5 y$$

Translate each phrase or sentence into a mathematical expression or equation. Six times a number is fifty-four.

For problems \(1-10\), specify each term. $$ -5 h+2 k-8+4 m $$

The sum of three consecutive even integers is six more than four times the middle integer. Find the integers.

For problems \(4-9,\) find the value of each expression. $$ 6 a-3 b, \text { if } a=-2, \text { and } b=-1. $$

Use the multiplication/division property of equality to solve each equation. Be sure to check each solution. $$ \frac{3 x}{8}=6 $$

Verify that 3 is not a solution to \(-3 y+1=4 y+5\).

Simplify each expression by combining like terms. $$16 a+6 m+2 r-3 r-18 a+m-7 m$$

Specify the terms in each expression. $$a+2 b-c$$

Translate each phrase or sentence into a mathematical expression or equation. Two ninths of a number is eleven.

The perimeter of a triangle is 16 inches. The second leg is 2 inches longer than the first leg, and the third leg is 5 inches longer than the first leg. Find the length of each leg.

Find the value of each expression. $$ -5 m+2 n-6, \text { if } m=-1 \text { and } n=4. $$

Use the multiplication/division property of equality to solve each equation. Be sure to check each solution. $$ -y=3 $$

Verify that -1 is a solution to \(6 m-5+2 m=7 m-6\).

Simplify each expression by combining like terms. $$5 h-8 k+2 h-7 h+3 k+5 k$$

Specify the terms in each expression. $$-3 x-5$$

Translate each phrase or sentence into a mathematical expression or equation. Three more than seven times a number is nine more than five times the number.

For problems \(57-140\), solve each equation. $$ 5 x=25 $$

What number decreased by nine is fifteen?

Find the value of each expression. $$ -x^{2}+3 x-5, \text { if } x=-2. $$

Use the multiplication/division property of equality to solve each equation. Be sure to check each solution. $$ -k=-2 $$

$$y+9=4$$

Simplify each expression by combining like terms. $$4 a+7 a$$

Find the value of each expression. $$9 m-2 n, \text { if } m=-2 \text { and } n=5$$

Twice a number less eight is equal to one more than three times the number.

For problems \(1-10\), specify each term. $$ -y-3 z $$

What number increased by twelve is twenty?

Find the value of each expression. $$ y^{2}+9 y+1, \text { if } y=0. $$

Solve each equation. Be sure to check each solution. $$ 5 m+7=-13 $$