Chapter 1
True or False: The statement 4(a+3) = 4a+12 illustrates the distributive law.
True
Solve for x
3x+7=19
x=4
What is the formula for point slope form?
y-y1=m(x-x1)
What rule is expressed in the following formula?
(am)n=am*n
The Power Rule
What is the GCF of 12c4+15c3-30c2?
3c2
What is the order of operations? (Not the acronym!)
Parentheses, Exponents, Multiplication and Division, Addition and Subtraction
Graph the following inequality on a number line
-5y>65
y<13 (open circle on 13, arrow pointing left)
The slope of a vertical line is what?
Undefined
Combine like terms and write your answer in descending order
3-x2+8x+5x2-6x-2x+4x3
4x3+4x2+3
Factor completely, if the polynomial is prime, state this
15d2-30d+225
15(d-5)(d+3)
Simplify 24/56
3/7
What number is 18.5% of 80?
14.8
The point (-5,3) lies in which quadrant on the coordinate plane?
Quadrant II
Multiply
(5x4y)(-2x5y)3
-40x19y4
Factor completely, if the polynomial is prime, state this
x2-2x-5
Prime
What is the reciprocal of (x2-x+1)/(3x+2)?
(3x+2)/(x2-x+1)
The perimeter of a triangle is 249 mm. If the sides are consecutive odd integers, find the length of each side.
81 mm, 83 mm, 85 mm
Identify the slope, y-intercept, and x-intercept for the line 4x+5y=15
slope = -4/5
y int (0,3)
x int (15/4,0)
Subtract the following polynomials
(5x4+3x3-x2-2x-1) - (7x4-x2-x+6)
-2x4+3x3-x-7
Factor completely, if the polynomial is prime, state this
64n2-9
(8n+3)(8n-3)
Simplify
5t-{7t-[4r-3(t-7)]+6r}-4r
-6r-5t+21
Local light rail service in Denver, CO costs $2.60 per trip (one way). A monthly pass costs $99. Gail is a student at Community College of Denver. Express as an inequality the number of trips per month that Gail should make if the pass is going to save her money.
More than 38 one-way trips per month.
Write the equation for a line that is parallel to 3x-4y=-7 and has the same x intercept as 2x-8y=6 in slope-intercept form.
y=3/4x-9/4
Expand (8x3+3)2
64x6+48x3+9
Factor completely, if the polynomial is prime, state this
2m3n-10m2n-6mn+30n
2n(m-5)(m2-3)