Basic Algebra
a3-12a3+15a3+2a3=
6a3
If 20=3x+5, then x=
5
If x=6+y and 4x=3-2y, what is the value of x=
5/2
The relation defined by the set of ordered pairs {(0,3), (2,1), (3,0), (-1,2), (0,5), (-2,5)} is NOT a function. Deleting which of the ordered pairs will make the resulting set a function?
(0,3)
If 100 identical bricks weigh p pounds, then how many pounds do 20 of the identical bricks weigh in terms of p?
p/5
If Bruce can eat 2 ½ bananas per day, how many bananas can Bruce eat in 4 weeks.
70
-7nx+2nx+2n+7x=
-5nx+2n+7x
If (2+3)(1+x)=25, then x=
4
If 4x+5y=12 and 3x+4y=5, what is the value of 7(x+y)?
49
If f(x)=x+3 and g(x)=2x-5, what is the value of f(g(2))?
2
If 5 pounds of coffee cost $12, how many pounds of coffee can be purchased for $30?
12.5
If a kilogram of a certain cheese costs $9.60, what is the cost of 450 grams of the cheese? (1 kilogram=1,000 grams)
$4.32
2x2+2x2+2x2=
6x2
If ⅘=x/4, then x=
16/5
If x=b+4 and y=b+3, then in terms of x and y, b=
x-y-7
If f(x)=3x+4 and g(x)=2x-1, for what value of x does f(x)=g(x)?
-5
If the cost of n nails is c cents, which of the following equations could be used to determine d, the cost in dollars, of x nails?
d=cx/100n
If 48 liters of a certain liquid weigh 50 kilograms, then how much, in grams, will 72 liters of the liquid weigh? (1 kilogram =1,000 grams)
75,000
X2+2xy-3x+4xy-6y+
2y2+3x-2xy+6y=
X2+2y2+4xy
If x is an integer and 5<x<7, then which of the following values is (are) possible for x?
5,6,7
The solution set to the pair of equations mx+my=15 and nx+my=13 is x=3 and y=1. What are the values of m and n?
m=4; n=3
What is the slope of the line 2x+3y-2=0?
-⅔
A rental car costs $32 per day for 5 days plus $0.25 per mile for all miles driven in excess of 500 miles for the rental period. What is the cost of renting a car for 5 days and driving it 800 miles?
$235
Nikki is making party favors and needs ribbon to tie the favor bags. If she can cut exactly 8 strips out of 2 yards of ribbon, how many strips can she cut from 15 feet of ribbon? (3 feet = 1 yard)
20
3a2(ab+ac+bc)=
3a3b+3a3c+3a2bc
If x and y are integers, 5>x>2, and 6<y<9, then which of the following is the minimum value of xy?
14
Tommy has blue, green, and red marbles. The number of blue marbles and green marbles combined total 25. The number of blue and red marbles combined total 30. There are twice as many red marbles as green marbles. How many green marbles does Tommy have?
5
What is the slope of a line that passes through the origin and (-3, -2)?
⅔
For the afternoon showing of a film, a theater sold 100 tickets, each of which was either a $7.50 ticket for a child or a $10.00 ticket for an adult. If the theater collected a total of $812.50 for the tickets, how many adult tickets were sold?
25
Sandi traveled 6800 miles from Dubai to New York in 14 hours. Using the same rate, how long would it take to travel 2720 km from New York to Denver? (1km=0.62 miles) Round your answer to the nearest tenth.
3.5 hours