Chapter 1 Math Review

Variable and Expression

100

x + 5 

for x = 12

12 + 5 = 17

x = 17

200

x - 7

For x = 23

23 - 7 = 16

x = 16

300

3x + 2y 

for x = 8 and y = 10

3(8) + 2(10)

24 + 20 

= 44

400

6(2 + k) 

for k = 4

6(2 + 4) =

6(6) =

= 36

500

Measuring your heart rate is one way to check the intensity of exercise.  Studies show that a person’s maximum heart rate depends on his or her age. The expression 220-a approximates a person’s maximum heart rate in beats per minute, where a is the person’s age.  Find the maximum heart rate of a 50 year old.  

a = 50 

220 - a = Maximum Heart Rate

220 - 50 = 170bpm

Writing Algebraic Expressions

100

Write > or <. 

4 + 7  __  12

4 + 7 = 11

11 < 12

200

Write > or <.  

15 - 9 __ 4 

15 - 9 = 6 

6 > 4

300

Write > or <. 

6(4) __ 25 

6(4) = 24

24 < 25

400

Solve and graph each inequality.  

b + 4 > 8

b + 4 > 8

8 - 4 = 4

b > 4

MS. KUHN WILL DRAW GRAPH

Open circle = Not included. 

500

MS. KUHN WILL DRAW THE GRAPH

x < 6

OPEN CIRCLE : Does NOT include that value. 

CLOSED CIRCLE : DOES include that value. 

Addition and Subtraction

100

12 + n =19

n = 7

12+7 =19

19 - 7 = 12

200

20 - a = 11

a = 9

20 - 9 = 11

11 + 9 = 20

300

6 + t = 14

t = 8

6 + 8 = 14

14 - 6 = 8

400

10 = m - 5

m = 15

15 - 5 = 10

5 + 10 +15

500

In 2005, the population of Bozeman, Montana, was 38,505. By 2015, the population had increased to 45,250.
Write and solve an equation to find n, the increase in Bozeman’s population from 2005 to 2015.

Equation(250):    38,505 + n = 45,250

Solve(250):     45,250 - 38,505 = n

                       n = 6,745 person increase. 

                      

Multiplication and Division

100

m / 6 = 1

m = 6

m = 6 x 1

6 = 6 x 1

200

4x = 28 

x = 7

x = 28 / 4

7 = 28 / 4

300

8g = 40 

g = 5

g = 40 / 8

5 = 40 / 8

400

h / 14 = 2

h = 28

h = 2 x 14

28 = 2 x 14

500

A glass of milk contains about 300 milligrams of calcium, which is 5 times as much as a cup of yogurt contains.
Write and solve an equation to find n, the number of milligrams of calcium in a cup of yogurt.

Equation(250):       5n = 300

Solve(250):            n = 300 / 5

                                = 60 milligrams of Calcium

Random

100

a - 4 = 6

a = 10

10 - 4 = 6

6 + 4 = 10

200

15 + n = 9

n = -6

15 + (-6) = 9

15 - 6 = 9

300

x + x − 6 = 14

x = 10

x + x = 20

2x = 20 

400

5a − 10 = 3a +6

a = 8

5a - 10 - 3a = 6

2a - 10 = 6

2a = 16

a = 8

500

4y − 18 = 2y + 6

y = 12

4y - 18 - 2y = 6

2y - 18 = 6

2y = 24

y = 12