Solving and Graphing Linear Equations

Two girls go to a pizzeria. In total, they spend $13. Girl one girl paid 5 more than 2 times the amount the other girl paid. How much did girl one pay?

$8

11t + 4 = 3t + 5 + 7

1

4x - 1 = 2x + 1

1

What is the slope of the equation? y = 1/2x + 12

1/2

Solve for y if z = 3 -14y - 19z = 29

2

Solve for x -3x + 4 = 16

-4

What is the rate of change of the equation y = 24x + 55

24

In the equation y = 25x + 77, what is the coefficient?

25

What is the slope of a line that has points at (1,3) and (4,12)

3

Jason wants to raise money babysitting. He starts off with the $13 that his parents gave him. He earns $6 per hour and raises a total of $37. How many hours did he spend babysitting?

4 hours

What is the slope of the equation? y = 32 + 44x

44

Find the value of t 16 - 2t = t + 9 + 4t

5/7

What is the coefficient of 6x + 10

6

A woman walks into a store. She pays $12 on food, and spends the rest on drinks. Each drink costs $1.50. She paid a total of $24. How many drinks did she buy?

8

Find the value of x 2x - 15 = 17 - 2x

8

A young sumo wrestler decided to go on a special diet to gain weight rapidly. W(t) models the wrestlers weight (in kilograms) as a function of time "t" (in months) W(t) = 80 + 5.4t What was the wrestlers weight before the diet?

80 kilograms

Coefficient

a number that is multiplied or attached by a variable

Slope

the rate of change or steepness of a line

Find y for the equation below 22 = 2x + 3y

y = 6

What format is a linear equation written as?

y = mx + b