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SolvingLinear

EquationsGraphing Systems

Translate the following sentence into an equation and solve:A number x subtracted from 36 is three times the sum of four and x.

x = 6

Solve

5

2

3

xx

3

The price of jeans was reduced from $75 to

$56.25. What was the percent decrease?

25%

Solve 2 – 3x < 5(2 – x) ≤ 3(2 – x) + 10

-3 ≤ x < 4

Two trains leave Des Moines at the same time, one traveling west, and the other east. The first train travels at 45 mph and the second at 55 mph. In how many hours will the trains be 750 miles apart?

7.5 hours

What is the domain of this relation?

{(3, -2), (-3, 4), (3, 4), (-1, 5)}

{-3, -1, 3}

What is the x-intercept of the line

2x - 3y = 7?

7/2

Write the linear equation in standard form:

2 1

3 2x y

4x - 6y = -3

Write an equation in slope intercept form for a line

passing through (2, 0) and (-1, 6).

y = -2x+4

A rental car company charges $52.99 per day, including 200 free kilometers.

There is a charge of $0.12/km for additional kilometers. Write a linear equation in slope intercept form that

models this situation.

y = 0.12x + 28.99

The slope of a vertical line is

______________.

Undefined

If g(x) = -2x2 + 4x + 9, find g(-3).

-21

Write an equation

of the line in slope intercept

form.

4

2

-2

-4

-5

y = - 2x - 4

Write the system of

inequalities for the graph.

2 1

12

3

y x

y x

Solve

2x – 3y < 12 x + 5y < 20

x > 0

A system of equations produces two lines that

intersect. The solution of the this system can be described

as….

One point

Solve the system using substitution

x = y+3

2x – y = 62

1

Infinitely many solutions

Solve the system using elimination

13a+5b=-11

13a+11b=7

(-2, 3)

Solve the system using elimination

3x + 4y = -25

2x - 3y = 6

(-3, -4)

At a Phillies game, hot dogs sell for $3.50 and a large soda sells for $4.50. On a hot afternoon, one vendor sold 19 more sodas

than hotdogs. If the vendor made $317.50, how many of

each item was sold?

48 sodas

29 hot dogs