The quotient of a number and 3 is the same as the difference of the number and two. Write the statement.
x/3 = x-2
x = 3(x-2)
Answer: x = 3x-6
200
What is the slope and y-intercept of the line y = 9x - 10?
m = 9
y-int = -10
200
Solve this system of equations using substitution:
3x - 4y = 35
x - 3y = 10
y = 1
x = 13
(13, 1)
200
Factor:
10x^2 - 9x + 2
(5x - 2)(2x - 1)
200
What is the domain of the equation:
f(x) = (x + 2)/(x+5)(3x - 3)
{x l x is all real numbers except x cannot equal -5 or 1}
300
Double the sum of a number and 6 is the opposite of the number. Write the statement.
2(x + 6) = -x
2x + 12 = -x
Answer: x = -2x - 12
300
What is x-intercept of the line 4y - 8x = 12?
x-int = -3/2
300
Solve this system of equations using the addition method:
x + 3y = 5
5x + 6y = -2
y = 3
x = -4
(-4,3)
300
Factor:
27x^3 - 125y^3
(3x - 5y)(9x^2 + 15xy + 25y^2)
300
FOIL:
(3x + y)(5x - 2y)
15x^2 - xy - 2y^2
400
Find three consecutive integers whose sum is -114.
x + x + 1 + x + 2 = -114
x = -39, -38, -37
400
Make a quick sketch of the line 2y - 4x = 0
Your drawing should have an x and y intercept at (0,0), and a slope of 2.
400
Solve this system of equations by any means:
x + (1/3)y = 5/12
8x + 3y = 4
x = -1/4
y = 2
(-1/4, 2)
400
Factor:
(x + 2)^2 - y^2
[(x + 2) + y][(x + 2) - y]
400
Simplify:
(x^2 + 7x +12) / (x^2 + 11x + 24)
(x + 4)/(x + 8)
500
Doreen Schmidt is a chemist with Gemco Pharmaceutical. She needs to prepare 12 ounces of a 9% hydrochloric acid solution. Find the amount of a 4% solution and the amount of a 12% solution she should use to get this solution.
.04(x) + .12(12 - x) = (.09)(12)
x = 4.5
12 - x = 7.5
500
Find the x-intercept, y-intercept, slope, and four points of the line 5/6y - 5x = 3/4.
x-int = -3/20
y-int = 9/10
slope = 6
Four points will be checked.
500
Solve the system of equations by any means:
.02x + .04y = .09
-0.1x + .3y = .8
x = -1.7
y = 2.1
(-1.7, 2.1)
500
Factor:
a^2(b - 4) - 16(b - 4)
(b - 4)(a + 4)(a - 4)
500
What is PEMDAS?
Parenthesis
Exponents
Multiply
Divide, From Left to Right
Addition
Subtraction, From Left to Right