Chapter 11

$$a-4=11$$

Simplify each expression by combining like terms. $$3 m+5 m$$

Find the value of each expression. $$-3 x-5 y+2 z, \text { if } x=-4, y=3, z=0$$

Translate each phrase or sentence into a mathematical expression or equation. A number divided by eight, plus seven, is fifty.

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

If five more than three times a number is thirty-two, what is the number?

Find the value of each expression. $$ -a^{2}+3 a+4, \text { if } a=4. $$

Solve each equation. Be sure to check each solution. $$ -3 a-6=9 $$

$$-1+7=x+3$$

Simplify each expression by combining like terms. $$6 h-2 h$$

Find the value of each expression. $$\frac{10 a}{3 b}+\frac{4 b}{2}, \text { if } a=-6, \text { and } b=2$$

Translate each phrase or sentence into a mathematical expression or equation. A number divided by three, minus the same number multiplied by six, is one more than the number.

For problems \(1-10\), specify each term. $$ -4 $$

If four times a number is increased by fifteen, the result is five. What is the number?

Find the value of each expression. $$ -(5-x)^{2}+7(m-x)+x-2 m, \text { if } x=5 \text { and } m=5. $$

Solve each equation. Be sure to check each solution. $$ 2 a+10-3 a=9 $$

$$8 m+4-7 m=(-2)(-3)$$

Simplify each expression by combining like terms. $$11 k-8 k$$

Find the value of each expression. $$8(3 m-5 n), \text { if } m=-4 \text { and } n=-5$$

Translate each phrase or sentence into a mathematical expression or equation. Nine from some number is four.

When three times a quantity is decreased by five times the quantity, the result is negative twenty. What is the quantity?

For problems 10 -12, simplify each expression by combining like terms. $$ 6 y+5-2 y+1 $$

Solve each equation. Be sure to check each solution. $$ 11 x-4-13 x=4 x+14 $$

$$12 k-4=9 k-6+2 k$$

Simplify each expression by combining like terms. $$5 m+3 n-2 m$$

Find the value of each expression. $$3[-40-2(4 a-3 b)], \text { if } a=-6 \text { and } b=0$$

Translate each phrase or sentence into a mathematical expression or equation. Five less than some quantity is eight.

Write \(1 k\) in a simpler way.

If four times a quantity is decreased by nine times the quantity, the result is ten. What is the quantity?

Simplify each expression by combining like terms. $$ 14 a-3 b+5 b-6 a-b $$

Solve each equation. Be sure to check each solution. $$ -3 m+8=-5 m+1 $$

$$-3+a=-4$$

Find the value of each expression. $$5 y^{2}+6 y-11, \text { if } y=-1$$

Translate each phrase or sentence to a mathematical expression or equation. A quantity less twelve.

Write \(1 x\) in a simpler way.

When five is added to three times some number, the result is equal to five times the number decreased by seven. What is the number?

Simplify each expression by combining like terms. $$ 9 x+5 y-7+4 x-6 y+3(-2) $$

Solve each equation. Be sure to check each solution. $$ 5 y+8 y-11=-11 $$

Verify that each given value is a solution to the given equation. $$x-11=5, x=16$$

Find the value of each expression. $$-x^{2}+2 x+7, \text { if } x=4$$

Translate each phrase or sentence to a mathematical expression or equation. Six more than an unknown number.

In the expression \(7 r\), how many \(r\) 's are indicated?

When six times a quantity is decreased by two, the result is six more than seven times the quantity. What is the quantity?

For problems \(13-22,\) solve each equation. $$ x+7=15 $$

Solve each equation. Be sure to check each result. $$ 7 x=42 $$

Verify that each given value is a solution to the given equation. $$y-4=-6, y=-2$$

Simplify each expression by combining like terms. $$-5 m-3 n+2 m+6 n$$

Find the value of each expression. $$(-x)^{2}+2 x+7, \text { if } x=4$$

Translate each phrase or sentence to a mathematical expression or equation. A number minus four.

In the expression \(12 m\), how many \(m\) 's are indicated?