Chapter 3

Prealgebra · 417 exercises

Problem 1

Identify the terms, like terms, coefficients, and constants in expression. \(4 x+3+5 x+y\)

4 step solution

Problem 1

How long would it take a bottlenose dolphin to swim 168 miles at 12 miles per hour?

4 step solution

Problem 1

Solve each equation. Check your solution and graph it on a number line. $$x+14=25$$

4 step solution

Problem 1

Translate each sentence into an equation. Then find each number. Three more than four times a number is \(23 .\)

5 step solution

Problem 1

Describe each sequence using words and symbols. $$2,3,4,5, \dots$$

3 step solution

Problem 1

Solve each equation. Check your solution $$2 x-7=9$$

3 step solution

Problem 1

Solve each equation. Check your solution. $$4 x=24$$

3 step solution

Problem 1

Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it. $$5(7+8)$$

5 step solution

Problem 2

Identify the terms, like terms, coefficients, and constants in expression. \(2 m-n+6 m\)

4 step solution

Problem 2

Solve each equation. Check your solution and graph it on a number line. $$w+4=-10$$

4 step solution

Problem 2

Translate each sentence into an equation. Then find each number. Four less than twice a number is \(-2\)

5 step solution

Problem 2

Describe each sequence using words and symbols. $$.6,7,8,9$$

4 step solution

Problem 2

Solve each equation. Check your solution. $$-16=6 a-4$$

3 step solution

Problem 2

Solve each equation. Check your solution. $$-2 a=10$$

2 step solution

Problem 2

Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it. $$2(9+1)$$

4 step solution

Problem 3

Identify the terms, like terms, coefficients, and constants in expression. \(4 y-2 x-7\)

4 step solution

Problem 3

Solve each equation. Check your solution and graph it on a number line. $$16=y+20$$

4 step solution

Problem 3

Translate each sentence into an equation. Then find each number. The quotient of a number and 3, less 8, is 16.

6 step solution

Problem 3

Describe each sequence using words and symbols. $$3,6,9,12, \dots$$

4 step solution

Problem 3

Solve each equation. Check your solution. $$\frac{y}{3}+2=10$$

3 step solution

Problem 3

Solve each equation. Check your solution. $$-7 t=-42$$

3 step solution

Problem 3

Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it. $$(2+4) 6$$

4 step solution

Problem 4

Simplify expression. \(6 a+4+2 a\)

3 step solution

Problem 4

Find the perimeter and area of each rectangle. a rectangle with length 15 feet and width 6 feet

4 step solution

Problem 4

Solve each equation. Check your solution and graph it on a number line. $$n-8=5$$

4 step solution

Problem 4

Describe each sequence using words and symbols. $$7,14,21,28, \dots$$

4 step solution

Problem 4

Solve each problem by writing and solving an equation. Suppose the current temperature is \(17^{\circ} \mathrm{F}\). It is expected to rise \(3^{\circ} \mathrm{F}\) each hour for the next several hours. In how many hours will the temperature be \(32^{\circ} \mathrm{F} ?\)

4 step solution

Problem 4

A spiral toy that can bounce down a flight of stairs is made from 80 feet of wire. Write and solve an equation to find how many of these toys can be made from a spool of wire that contains 4000 feet.

4 step solution

Problem 4

MEDICINE For Jillian's cough, her doctor says that she should take eight tablets the first day and then four tablets each day until her prescription runs out. There are 36 tablets. Solve \(8+4 d=36\) to find how many more days she will take four tablets.

6 step solution

Problem 4

Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it. $$(3+6) 4$$

3 step solution

Problem 5

Simplify expression. \(x+9 x+3\)

2 step solution

Problem 5

Solve each equation. Check your solution and graph it on a number line. $$k-25=30$$

5 step solution

Problem 5

Solve each problem by writing and solving an equation. Lawana is five years older than her brother Cole. The sum of their ages is \(37 .\) How old is Lawana?

6 step solution

Problem 5

Write an equation that describes each sequence. Then find the indicated term. \(10,11,12,13, \dots ; 10\) th term

6 step solution

Problem 5

Suppose you work in a grocery store 4 hours on Friday and 5 hours on Saturday. You earn 6.25 dollars an hour. Write two different expressions to find your wages.

4 step solution

Problem 5

Solve each equation. Check your solution. $$\frac{k}{3}=9$$

4 step solution

Problem 5

Solve each equation. Check your solution. $$-7-8 d=17$$

3 step solution

Problem 6

Simplify expression. \(9 y+8-8\)

3 step solution

Problem 6

Translate each sentence into an equation. Then find each number. Seven more than twice a number is 17 .

4 step solution

Problem 6

Solve each equation. Check your solution and graph it on a number line. $$r-4=-18$$

3 step solution

Problem 6

Write an equation that describes each sequence. Then find the indicated term. \(6,12,18,24, \dots ; 11\) th term

6 step solution

Problem 6

Suppose you work in a grocery store 4 hours on Friday and 5 hours on Saturday. You earn 6.25 dollars an hour. Find the total wages for that weekend.

3 step solution

Problem 6

Solve each equation. Check your solution. $$\frac{y}{5}=-8$$

3 step solution

Problem 6

Solve each equation. Check your solution. $$1-2 k=-9$$

4 step solution

Problem 7

Simplify expression. \(3 x+2 y+4 y\)

3 step solution

Problem 7

Find the distance traveled by driving at 55 miles per hour for 3 hours.

3 step solution

Problem 7

I. MULTIPLE CHOICE A video store sells a DVD for \(\$ 12\) more than it pays for it. If the selling price of the DVD is \(\$ 19\), which equation can be used to find how much the store paid for the DVD?

5 step solution

Problem 7

Translate each sentence into an equation. Then find each number. Twenty more than three times a number is \(-4\)

5 step solution

Problem 7

Write an equation that describes each sequence. Then find the indicated term. \(2,5,8,11, \dots ; 20\) th term

5 step solution

Problem 7

Use the Distributive Property to write each expression as an equivalent algebraic expression. $$4(x+3)$$

4 step solution

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