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Expressions, Equations, & Functions Linear Equations Linear Functions Linear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

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Page 1: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

Expressions, Equations, &

Functions

Linear Equations Linear Functions Linear Functions and Relations

Linear Inequalities

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

Page 2: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

B 100

5

312)5316(25

Evaluate

Page 3: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

B 200

Evaluate when a = 8, b = 4, and c = 16

a

cab 23

Page 4: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

B 300

Solve the equation:

20 – 5x = -7 – 3(x – 5)

Page 5: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

B 400

Identify the independent and dependent variables:

Increasing the temperature of a compound inside a sealed

container increases the pressure inside a sealed container.

Page 6: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

B 500

xxxg 52 If

Find each value:g(2) and g(-2) +2

Page 7: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

I 100

Solve:

8

)3(69

p

Page 8: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

I 200

Solve for m.

)122(3

1

5

2 m

m

Page 9: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

I 300

Solve the equation.

Then graph the solution set.

934

3a

Page 10: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

I 400

Solve for a

311

10

xac

Page 11: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

I 500

A subway train travels 60mph from Glendale to Midtown. Another subway train, traveling 45 mph, takes 11 minutes longer for the same trip. How far apart are

Glendale and Midtown?

Page 12: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

N 100

Is this equation a linear equation? If so, write it in standard form.

53

2

4

3nm

Page 13: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

N 200

Determine whether the following table represents a linear function.

X Y

-7 11

-5 14

-3 17

-1 20

0 23

Page 14: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

N 300

Find the rate of change for the following situation:

You drive 30 miles in one hour and 120 miles in four hours.

Page 15: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

N 400

For the following table, tell whether y varies directly with x. If it does, write a function rule for the relationship shown

in the data.X Y

3 5.4

7 12.6

12 21.6

Page 16: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

N 500

Write an equation for the nth term in the following sequence.

-3, -8, -13, -18…

Page 17: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

G 100

Write the equation of a line that

passes through the point (2,-3)

and has a slope of . 3

2

Page 18: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

G 200

Write an equation in standard form of a line with a slope of 8 and passes

through the point (7,1).

Page 19: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

G 300

Write the equation of a line in slope intercept form of a line

that passes through the points (-7,-3) and (-3,5).

Page 20: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

G 400

Write the equation in slope-intercept

form for a line that passes through

(-2,3) and is parallel to 44

3 xy

Page 21: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

G 500

Write the equation in slope-intercept

form for a line is perpendicular to the

graph of and

passes through (-5,2).

32

1 xy

Page 22: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

O 100

Solve the inequality, check

your solution, then graph it

on a number line.

and 5.325.0 t 4t

Page 23: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

O 200

Solve the compound inequality. Then graph the solution set.

or3174 a 5a

Page 24: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

O 300

Express the absolute value inequality as a compound inequality. Solve and graph

the solutions on a number line.

1645 t

Page 25: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

O 400

Graph the following inequality.

25

1 xy

Page 26: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

O 500

Define a variable, write an inequality, and solve each problem. Then

check your solution.

Eight less than a number is no more than 14 and no less than 5.

Page 27: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14
Page 28: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

Final Question

A baker has cookies worth $0.95 per pound and cookies worth $1.70 per pound. How many

pounds of each kind must he use to produce a 45 pound mixture to

sell for $1.25 a pound?

Page 29: Expressions, Equations, & Functions Linear EquationsLinear FunctionsLinear Functions and Relations Linear Inequalities 1 2 3 4 5 6 7 8 9 10 11 12 13 14

Bingo