Module 8
Module 9
Module 10
Module 11
Module 12
100
Give the domain and range of T using set notation.
T={(6,0),(2,-3),(6,7),(-3,8)}
Domain: {6,2,-3}
Range: {0,-3,7,8}
100
Solve the system of linear equations.
3x-y=6
-3x+y+6=0
All Real Numbers
100
Last year, Rachel had $30,000 to invest. She invested some of it in an account that paid 9% simple interest per year, and she invested the rest in an account that paid 8% simple interest per year. After one year, she received a total of $2680 in interest. How much did she invest in each account?
First account: $28000
Second account: $2000
100
Simplify
(y3)6
y18
100
Multiply
(2x-3w)(2x-7w)
4x2-20xw+21w2
200
Find f(4)
f(x)=-3x+4
-8
200
Solve the system of linear equations.
2x-y=4
-2x+y=4
No Solution
200
Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $45 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $1225. How long did each mechanic work?
Mechanic 1: 10 hours
Mechanic 2: 15 hours
200
What is the degree and leading coefficient?
2u+12u9-18+6u6
Degree: 9
Leading Coefficient: 12
200
Simplify
(3v+7)2
9v2+42v+49
300
Find h(-2)
h(x)=(x-9) / (x+8)
-11/6
300
Solve using substitution.
-2x+5y=11
2y-4=x
x=2
y=3
300
The Royal Fruit Company produces two types of fruit drinks. The first type is 45% pure fruit juice, and the second type is 70% pure fruit juice. The company is attempting to produce a fruit drink that contains 65% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 65% pure fruit juice?
Fruit drink 1: 16 pints
Fruit drink 2: 64 pints
300
Simplify
x-5 / x-2
1 / x3
300
Simplify
4y3z5 / 36yz3
y2z2 / 9
400
Find f(-4)
f(x)=3x3+5
-187
400
Solve using elimination.
2x+3y=9
-4x-7y=-25
x=-6
y=7
400
A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 higher than in the first. The tax in the first city was 6.5%, and the tax in the second city was 3.5%. The total hotel tax paid for the two cities was $610. How much was the hotel charge in each city before tax?
City 1: $5750
City 2: $6750
400
Simplify
(6v2+6v+7)-(-v2+3v-5)+(8v2+4v+1)
15v2+7v+13
400
Divide.
(-9x5y4+12x4y2) / (-4x5y4)
9/4 - 3/xy2
500
A railroad crew can lay 5 miles of track each day. They need to lay 135 miles of track. The length, L (in miles), that is left to lay after d days is given by the following function.
L(d)=135-5d
How many days will it take the crew to lay all the tracks?
27 days
500
Solve using elimination.
-8x+9y=-21
-7x+8y=-19
x=-3
y=-5
500
A scientist mixes water (containing no salt) with a solution that contains 30% salt. She wants to obtain 150 ounces of a mixture that is 5% salt. How many ounces of water and how many ounces of the 30% salt solution should she use?
Water: 125 oz
Salt solution: 25 oz
500
Rewrite without parenthesis
5xy4(3y2-8x6+4)
15xy6-40x7y4+20xy4
500
Divide
(12x3-9x2+21x+7) / (4x+1)
Quotient: 3x2-3x+6
Remainder: 1