Math Foundations III Unit 7

Balance the Equation

Balanced or Not Balanced

Solve for the Variable

Coefficients

Proportion Problems

100

9 + 1 = 11 - ___

100

Must Show Work

12 = 13 - 1

12 = 12

Balanced

100

x + 2 = 8

x = 6

100

What is the coefficient for

7 x + 1

100

Show work

1/2 = 3/y

1y = 2 • 3

y = 6

200

2 • 3 = 12 ÷ ___

200

Must Show Work

21 ÷ 3 = 4 + 3

7 = 4 + 3

7 =7

Balanced

200

x • 3 = 7 + 5

x = 4

200

What is the coefficient for

4 + 5 x

200

Show work

2/4 = 4/y

2y = 4 • 4

2y = 16

2y ÷ 2 = 16 ÷ 2

y = 8

300

21 ÷ 7 + 12 = 50 ÷ 2 - ___

300

Must Show Work

12 ÷ 4 • 6 = 1 - 4 + 6 + 2 - 3 + 12

3 • 6 = - 3 + 6 + 2 - 3 + 12

18 = 3 + 2 - 3 + 12

18 = 5 - 3 + 12

18 = 2 + 12

18 = 14 Not Balanced

300

8 + x - 9 = 25

x = 26

300

What is the coefficient for

1 + 2x - 3

300

Show work

3/9 = y/15

3 • 15 = 9y

45 = 9y

45 ÷ 9 = 9y ÷ 9

5 = y

400

1 - 4 + 6 + 2 = (20 - 15) • 3 - ___

400

Must Show Work

(20 - 15) • 6 - 5 = 5 (18 - 13)

5 • 6 - 5 = 5 (5)

30 - 5 = 25

25 = 25 Balanced

400

[ x ] (#) (#) [ x ] (#) (#)

[ x ] (#) (#) = [ x ] (#) (#)

[ x ] (#) (#) (#)

x = 1

400

What is the coefficient for

400

Show your work

Campus Supervisors are concerned about students roaming on campus. They caught 10 students roaming in 2 hours. How many students would you expect them to catch in 4 hours? Let x represent the students

10 / 2 = x / 4

10 • 4 = 2x

40 = 2x

40 ÷ 2 = 2x ÷ 2

20 = x

500

4 + (17 - 5) • 3 = 15 + 5 • ___

500

Must Show Work

1 + 2 • 3 + 5 - 6 = 7 - 8 + 9 • 10

1 + 6 + 5 - 6 = 7 - 8 + 90

7 + 5 - 6 = -1 + 90

12 - 6 = 89

6 = 89 Not Balanced

500

[ x ] (#) (#) [ x ] (#) (#) (#) (#)

[ x ] (#) (#) = [ x ] (#) (#) (#) (#)

[ x ] (#) (#) (#) (#) (#) (#)

x = 4

500

What is the coefficient for

-x

-1

500

Mrs. O'Neill gets SPAM calls about 8 times every 4 days. How many times would she expect SPAM calls in 25 days? Let c represent the amount of times.

8/4 = x/25

8 • 25 = 4x

200 = 4x

200 ÷ 4 = 4x ÷ 4

50 = x