Mid-Chapter Quiz Translate each sentence into an equation.

[Pages:12]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.

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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

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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:

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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:

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Mid-Chapter Quiz

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Check:

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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

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Mid-Chapter Quiz

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

yellow-banded

angelfish

12

=

4.8

times as long as

an average

common

goldfish

4.8

g

The equation is 12 = 4.8g. b.

The length of the average common goldfish is 2.5 inches.

Write an equation and solve each problem. Three less than three fourths of a number is negative 9. Find the number.

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To write the equation, rewrite the sentence and let n represent the unknown number. Three less than three fourths

of a number is negative 9 is the same as three fourths of a number minus three is negative 9.

Three

of

a number

minus

fourths

three

is negative 9.

The equation is

n

?

.

3

=

?9

The number is ?8.

Thirty is twelve added to six times a number. What is the number? eSolut6io2ns/M8an7u,a2l -1Powered by Cognero

To write the equation, let n represent the unknown number.

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 Mid-TChheanputmerbeQruisiz?8.

Thirty is twelve added to six times a number. What is the number?

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To write the equation, let n represent the unknown number.

Thirty is twelve added to six times

a

number.

30

=

12

+

6

n

The equation is 30 = 12 + 6n.

The number is 3.

Find four consecutive integers with a sum of 106.

62/87,21 To write the equation, rewrite the sentence and let n = the first of the four unknown numbers. Then the next three consecutive integers are n + 1, n + 2, and n + 3. The sum of these four integers equals 106, so the equation is n + (n + 1) + (n + 2) + (n + 3) = 106. Solve for n.

Substitute 25 for n to find remaining three numbers. n + 1 = 25 + 1 or 26 n + 2 = 25 + 2 or 27 n + 3 = 25 + 3 or 28 The four consecutive integers are 25, 26, 27, and 28.

Solve each equation. Check your solution. 8p + 3 = 5p + 9

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n + 1 = 25 + 1 or 26 n + 2 = 25 + 2 or 27 n + 3 = 25 + 3 or 28 Mid-Chapter Quiz The four consecutive integers are 25, 26, 27, and 28. Solve each equation. Check your solution. 8p + 3 = 5p + 9 62/87,21

Check:

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Check:

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