Bissonnette-Advanced Algebra Final Winter

Front 1

Graph the numbers on a number line. Clearly mark the tick marks and numbers on the line:
-1, -1.1, √2, 5/8, -π

Back 1

Front 2

Back 2

-34

Front 3

Evaluate the expression:
-9 + 10 * 6 ÷ 3 - 4

Back 3

7

Front 4

Back 4

Front 5

Back 5

Front 6

Solve the equation:
(1/3)x + (2/3) = 15

Back 6

-43

Front 7

Solve the equation for y (i.e., y = ):
x + 3xy = 4

Back 7

y = (4 - x)/(3x)

Front 8

Back 8

Front 9

Solve the inequality

|x + 8| - 2 < 4

Back 9

x < -2 and x > -14

Front 10

You buy a car with a fuel efficiency of 31 miles per gallon on the highway and 26 miles per gallon in town. The gas tank holds 12.9 gallons. Write a verbal model and assign labels to determine how far you can travel on a tank of gas. (There are no numbers in your answer, only words and variables)

Back 10

distance traveled (d) = rate of fuel consumption (r) times fuel consumed (u)
d = ru

Front 11

You buy a car with a fuel efficiency of 31 miles per gallon on the highway and 26 miles per gallon in town. The gas tank holds 12.9 gallons. Determine the range you can travel on a tank of gas and write an inequality.

Back 11

d = distance
400 miles > d > 354.4 miles

Front 12

Back 12

Front 13

Identify the slope and y-intercept and graph the equation:
y = -2x - 4

Back 13

Front 14

Identify the x-intercept and y-intercept and graph the equation:
6x - 9y = 18

Back 14

Front 15

Graph the paired data and approximate the best fitting line. (0,2),(-2,2),(0,0) ,(2,1),(3,0), (2,-2),(4,-2)

Back 15

Front 16

Graph y > x + 5

Back 16

Front 17

Back 17

Front 18

Back 18

Front 19

Graph the absolute value function:

y = -2|x – 2| - 3

Back 19

Front 20

Back 20

y = |x + 4| - 2

Front 21

Solve the linear system by graphing. Show your work to check your answer.
2x + 5y = -31
y = -x - 8

Back 21

Front 22

Solve the system using substitution.
8x - y = 1
-x + 4y = 27

Back 22

(1,7)

Front 23

Solve the system using combination.
-2x + 3y = 10
5x + 6y = -16

Back 23

(-4, 2/3)

Front 24

Graph the system of linear inequalities.
3x + y < -4
y ≥ 2x +1
-x + y < 4

Back 24

Front 25

Graph the constraints and find the minimum and maximum values of the objective function.
objective function = C = x + 3y
x ≤ 0
x ≥ -4
y ≥ 3
y ≤ -2x + 5

Back 25

Front 26

Sketch the graph of the equation. Label the points where the graph crosses the x-, y-, and z-axes.
-2x + 4y + 8z = 16.

Back 26

Front 27

You have $75 to purchase beverages to sell at the student store concession stand. There is soda, gatorade and water. You need to have at least 50 units total. Soda costs $.50 per can. Gatorade costs $.75 per can. Water costs $.25 per can. You want twice as much water as gatorade and soda combined. Write the system of equations for this scenario.

Back 27

x = soda; y = gatorade; z = water
x ≥ 0
y ≥ 0
z ≥ 0
x + y + z ≥ 50
.50x + .75y + .25z ≤ 75
z = 2(x + y)