Download Review, Test 1

Review Questions, Test 1
MULTIPLE CHOICE. Circle the letter corresponding to the correct answer. Partial credit may be earned if correct work is
shown.
Find the slope of the line passing through the given pair of points.
1) (5, 4) and (2, 2)
3
A)
2
2
B)
3
2
C) 3
1)
2) (6, -4) and (-7, 1)
13
A) 5
5
B) 13
5
C)
13
6
D)
7
2)
D) 3
Write an equation for the line. Use slope-intercept form, if possible.
3) Through (-13, -1), m = 4
A) y = -4x - 9
3)
B) y = -4x - 51
C) y = 4x + 51
D) y = 4x - 1
Determine the equation of the line described. Put answer in the slope-intercept form, if possible.
4) Through (1, -8), perpendicular to -7x - 4y = 25
4
60
7
A) y = - x +
B) y = x - 60
7
7
4
4
60
C) y = x 7
7
4
D) y = x
7
4)
5) Through (-7, -7), parallel to 5x - 4y = -19
5
7
4
7
A) y = x +
B) y = x 4
4
5
5
7
19
C) y = - x +
4
4
5
7
D) y = - x 4
4
5)
Graph the equation.
6) 5y + 7x = 5
6)
y
10
-10
10
x
-10
1
A)
B)
y
y
10
10
-10
10
x
-10
-10
10
x
10
x
-10
C)
D)
y
y
10
-10
10
10
x
-10
-10
-10
Solve the problem.
7) In a lab experiment 3 grams of acid were produced in 24 minutes and 6 grams in 47 minutes. Let y
be the grams produced in x minutes. Write a linear equation for grams produced.
A) 23y = 3x - 3
B) 23y = 3x + 21
C) 23y = 3x + 3
D) y = x + 21
8) Suppose the sales of a particular brand of appliance satisfy the relationship S(x) = 210x + 5300,
where S(x) represents the number of sales in year x, with x = 0 corresponding to 1982. Find the
number of sales in 1997.
A) 16,690
B) 8450
C) 8240
7)
8)
D) 16,900
Write a cost function for the problem. Assume that the relationship is linear.
9) Fixed cost, $220; 5 items cost $4610 to produce
9)
A) C(x) = 1756x + 220
B) C(x) = 1756x + 4610
C) C(x) = 878x + 220
D) C(x) = 878x + 4610
Solve the problem.
10) Let the supply and demand functions for a certain model of electric pencil sharpener be given by
2
4
p = S(q) = q and
p = D(q) = 15 - q ,
3
3
where p is the price in dollars and q is the quantity of pencil sharpeners (in hundreds). Graph these
functions on the same axes (graph the supply function as a dashed line and the demand function
as a solid line). Also, find the equilibrium quantity and the equilibrium price.
2
10)
20
p
18
16
14
12
10
8
6
4
2
2
4
6
8 10 12 14 16 18 20 q
A)
B)
20
p
20
18
18
16
16
14
14
12
12
10
10
8
8
6
6
4
4
2
2
2
4
6
p
8 10 12 14 16 18 20 q
2
Equilibrium quantity: 950
Equilibrium price: $7
4
6
8 10 12 14 16 18 20 q
Equilibrium quantity: 600
Equilibrium price: $9.00
C)
D)
20
p
20
18
18
16
16
14
14
12
12
10
10
8
8
6
6
4
4
2
2
2
4
6
8 10 12 14 16 18 20 q
p
2
Equilibrium quantity: 750
Equilibrium price: $5
4
6
8 10 12 14 16 18 20 q
Equilibrium quantity: 900
Equilibrium price: $6.00
11) In deciding whether or not to set up a new manufacturing plant, analysts for a popcorn company
have decided that a linear function is a reasonable estimation for the total cost C(x) in dollars to
produce x bags of microwave popcorn. They estimate the cost to produce 10,000 bags as $5480 and
the cost to produce 15,000 bags as $7780. Find the marginal cost of the bags of microwave popcorn
to be produced in this plant.
A) $46
B) $0.46
C) $2300
3
D) $4.6
11)
12) A shoe company will make a new type of shoe. The fixed cost for the production will be $24,000.
The variable cost will be $38 per pair of shoes. The shoes will sell for $108 for each pair. What is
the profit if 600 pairs are sold?
A) $18,000
B) $42,000
C) $66,000
D) $63,600
13) Midtown Delivery Service delivers packages which cost $1.80 per package to deliver. The fixed cost
to run the delivery truck is $72 per day. If the company charges $7.80 per package, how many
packages must be delivered daily to break even?
A) 40 packages
B) 8 packages
C) 7 packages
12)
13)
D) 12 packages
Use any method method to solve the system of two equations in two unknowns.
14) x - 2y = -2
6x - 3y = -30
A) (6, -1)
14)
B) (-6, -2)
C) (-7, -1)
D) No solution
15) x + 3y = 9
-7x + 4y = 12
A) (1, 2)
15)
B) (-3, 0)
C) (0, 3)
4
D) No solution
Answer Key
Testname: SAMPLE TEST 1
1) B
2) B
3) C
4) C
5) A
6) D
7) A
8) B
9) C
10) C
11) B
12) A
13) D
14) B
15) C
5