WorksheetsAlgebra 2 Bench Mark 1 Study Guide
Total questions: 13
Worksheet time: 7mins
The area of a parking lot is 600 square meters. A car requires 6 square meters and a bus requires 30
square meters of space. The lot can handle a maximum of 60 vehicles. If a car costs $3 and a bus cost
$8 to park in the lot, determine the number of each vehicle to maximize the maximum profit.
$600
$60
$280
$230
A travel agent is organizing a trip for a local ski club. She can make arrangements for a maximum of 10 people, and there must be at least 4 men and 3 women in the group. Her profit is $12.25 for each woman and $15.40 for each man. Which constraints below represent the linear programming problem?
m ≤ 0
w ≤ 0
m - w ≤ 10
m ≤ 4
w ≤ 3
m = w + 10
m ≥ 4
w ≥ 3
m + w ≤ 10
m ≥ 0
w ≥ 0
m + w ≥ 10
Which of the following numbers are NOT a solution of the inequality 10x + 8 ≤ -12x – 36?
22
0
-22
-55
If the inequality y > 3 x - 12 is graphed in the xy-plane below, which quadrant contains no solutions to the inequality?
1
2
3
Solutions exist in all the quadrants.
3x + 2y = 19
x + y = 8
What does x equal?
3
5
4
All Real Numbers
Jonah is going to the store to buy hair gel. Small bottles cost $3.50 and large bottles cost $5.00. He needs to buy at least 20 bottles, and he can spend no more than $80. Which system of equations correspond to the situation?
3.5L + 5S ≥ 20
S + L ≤ 80
3.5S - 5L ≥ 20
S - L ≤ 80
3.5S + 5L ≥ 80
S + L ≤ 20
3.5S + 5L ≤ 80
S + L ≥ 20
What is the maximum profit the baker can make?
$2000
$1500
$1650
$1250
Evaluate for f(4)
f(4) = 9
f(4) = -8
f(4) = 35
The input of 4 does not meet the constraints of the function.
Which point exists on t he piece wise function?
(0, 0)
(1, 4)
(6, 36)
(-8, 64)
Describe the vertex of the function.
maximum at (3, -2)
minimum at (3, -2)
minimum at (-2, 3)
maximum at (-2, 3)
What is the equation for the function?
f(x) = - I x + 3 I + 1
f(x) = - I x + 4 I + 3
f(x) = - I x + 3 I + 4
f(x) = - I x + -7 I + 0
f(x) = –4x + 9 and g(x) = 2x – 7
Find f(g(x))
–8x2 + 37
8x2+ 37
8x + 37
–8x + 37
f(x) = x + 1/x
g(x) = x2
Find g(f(x))
x +x2
(x + x)2
(x + 1/x)2
(2x + 1/x)2
