Writing Linear Equations

Susie's piggy bank has all nickels and dimes. The total value of the money in her piggy bank is $7.80. Write a linear equation to represent Susie's piggy bank.

.05x + .10y = 7.80

Clint is in study hall reading The Hunger Games. After 20 minutes, he is on page 151. After 45 minutes, he is on page 181. How many pages had Clint read prior to study hall?

127

The cost in dollars, y, of a large pizza with x toppings from Pat's Pizzeria can be modeled by a linear function. A large pizza with no toppings costs $14.00. A large pizza with 2 toppings costs $17.50. What is the cost of a pizza with 5 toppings? Round to the nearest penny.

22.75

The point-slope form of the equation of the line that passes through (-5, -1) and (10, -7) is y + 7 = 2/5(x - 10). What is the standard form of the equation for this line?

2x + 5y = -15

Susie's piggy bank has all nickels and dimes. The total value of the money in her piggy bank is $7.80. If Susie has 66 nickels, solve a linear equation to find the number of dimes she has. (Answer is the amount of dimes)

45

Which line is perpendicular to the line y = -3/5x +1?

5x - 3y = 27

Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 3 tickets is $55.00. Which linear function represents c, the total cost, when x tickets are ordered?

c(x) = 5.50 + 16.50x

Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108.00. Which linear function represents c, the total cost, when x tickets are ordered?

c(x) = 5.50 + 20.50x

The ice skating rink charges an hourly fee for skating and $3 to rent skates for the day. Gillian rented skates and skated for 3 hours and was charged $21. Which equation represents the cost, c(x), of ice skating as a function of x, the number of hours of skating?

c(x) = 6x + 3

The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1 =1/4 (x - 12). What is the standard form of the equation for this line?

x - 4y = 8

Which equation represents the line that passes through (-6, 7) and (-3, 6)?

y = -1/3x + 5

The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y - 3 = 1/2 (x - 1). What is the slope-intercept form of the equation for this line?

y = 1/2x + 5/4

The total cost for a bucket of popcorn and 4 movie tickets is $56. The total cost for the same size bucket of popcorn and 6 movie tickets is $80. Which equation represents the relationship between y, the total cost of the popcorn and movie tickets, and x, the number of movie tickets that are purchased?

y = 12x + 8

Write a linear equation that passes through (-2, -11) and is perpendicular to x + 4y = 8

y = 4x - 3

Clint is in study hall reading The Hunger Games. After 20 minutes, he is on page 151. After 45 minutes, he is on page 181. Write a linear equation in slope-intercept form.

y = 6/5x + 127

Write a linear equation that passes through the (2,3) and is parallel to y = x - 4.

y = x + 1

Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?

y = x + 2

Line GH passes through points (2, 5) and (6, 9). Which equation represents line GH?

y = x + 3