Mid-Chapter Quiz Translate each sentence into an equation.

Mid-Chapter Quiz

Translate each sentence into an equation. The sum of three times a and four is the same as five times a.

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Rewrite the verbal sentence so it is easier to translate. The sum of three times a and four is the same as five

times a is the same as three times a plus four equals five times a.

three times a number a

3a

plus four equals five

times

a

number

a

+ 4

=

5a

The equation is 3a + 4 = 5a.

One fourth of m minus six is equal to two times the sum of m and 9.

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5HZULWHWKHYHUEDOVHQWHQFHVRLWLVHDVLHUWRWUDQVODWHOne fourth of m minus six is equal to two times the sum of m and 9 is the same as 2QHIRXUWKWLPHVPPLQXVVL[LVHTXDOWRWZRWLPHVWKHTXDQWLW\PSOXV

two times

one fourth of m

minus

six

equals

the quantity m

plus 9

?

6

=

2(m + 9)

The equation is

.

The product of five and w is the same as w to the third power.

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Rewrite the verbal sentence so it is easier to translate. The product of five and w is the same as w to the third

power is the same asfive times w equals w to the third power .

five

times

w

equals

w to the third power

5

w

=

w3

The equation is 5w = w3.

MARBLES 'UHZKDVUHGJUHHQDQGEOXHPDUEOHV+HKDVVL[PRUHUHGPDUEOHVWKDQEOXHPDUEOHVDQGIRXU fewer green marbles than blue marbles. Write and solve an equation to determine how many blue marbles Drew has.

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To write the equation, let b = the number of blue marbles. Express the other colors in terms of b.

Six more

and

four fewer

plus

blue

equals

50

red than

green than

eSolutions

Mblaune ual b + 6

-

Powered

+

by

Cognerobbl?ue4

+

b

=

50

The equation is 3b + 2 = 50.

Page 1

five

times

w

5

w

Mid-Chapter Quiz The equation is 5w = w3.

equals =

w to the third power w3

MARBLES 'UHZKDVUHGJUHHQDQGEOXHPDUEOHV+HKDVVL[PRUHUHGPDUEOHVWKDQEOXHPDUEOHVDQGIRXU fewer green marbles than blue marbles. Write and solve an equation to determine how many blue marbles Drew has.

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To write the equation, let b = the number of blue marbles. Express the other colors in terms of b.

Six more

and

four fewer

plus

blue

equals

50

red than

green than

blue

blue

b + 6

+

b ? 4

+

b

=

50

The equation is 3b + 2 = 50.

Drew has 16 blue marbles. Solve each equation. Check your solution. p + 8 = 13 62/87,21

Check:

?26 = b ? 3 62/87,21

Check:

= 3 eSolut6io2ns/M8an7u,a2l -1Powered by Cognero

Page 2

Check: Mid-Chapter Quiz

= 3 62/87,21

Check:

MULTIPLE CHOICE

Solve the equation

.

A B C D ?3 62/87,21

Choice C is the correct answer.

Solve each equation. Check your solution. 2x + 5 = 13

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Check:

eSolutions Manual - Powered by Cognero

Page 3

Mid-Chapter Quiz Choice C is the correct answer. Solve each equation. Check your solution.

2x + 5 = 13 62/87,21

Check:

?21 = 7 ? 4y 62/87,21

Check:

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Check:

eSolutions Manual - Powered by Cognero

Page 4

Mid-Chapter Quiz

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Check:

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Check:

FISH The average length of a yellow?banded angelfish is 12 inches. This is 4.8 times as long as an average common goldfish. a. Write an equation you could use to find the length of the average common goldfish. b. What is the length of an average common goldfish?

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a. To write the equation, let g = the length of the average common goldfish.

length of

is

4.8

times as long as

an average

yellow-banded eSolutions Managneulafils-hPowered by Cognero

12

=

4.8

common

goldfish

g

Page 5

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