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MATH 110 STATISTICS PORTAGE LEARNING
CERTIFICATION SCRIPT 2026 PRACTICE
SOLUTIONS GRADED A+
⩥ Determine the slope and the y-intercept. Use the slope and the y- intercept to graph the equation. y=1. Answer: Slope is m= 0 Y-intercept= (0,1) ⩥ Use the graphing tool to graph the linear equation. Use the slope and y-intercept when drawing the line. 2x+y=1. Answer: ⩥ Determine the slope and the y-intercept. Use the slope and the y- intercept to graph the equation. Use a graphing calculator to verify your work. 9x-12y=84. Answer: The slope is: 3/ The y-intercept is (0,7)
⩥ Determine the slope and the y-intercept. Use the slope and the y- intercept to graph the equation. Use a graphing calculator to verify your work.
- 21=4x+7y. Answer: The slope is m= - 4/ The y-intercept (0,-3) ⩥ Determine the slope and the y-intercept. Use the slope and the y- intercept to graph the equation. Use a graphing calculator to verify your work. 5x+3y=0. Answer: The slope is - 5/ The y-intercept is (0,0) ⩥ Determine the slope and the y-intercept. Use the slope and the y- intercept to graph the equation. Use a graphing calculator to verify your work. y-5=0. Answer: The slope is m= The y-intercept is (0,5) ⩥ Find the approximate x-intercept and the approximate y-intercept of the equation below.
⩥ Decide whether the relation is a function. Explain.
- 6y^4=x. Answer: No, because there are some inputs that lead to more than one output. ⩥ Evaluate f(x)=4x+4 at the given value of x. f(5). Answer: f(5)= ⩥ Evaluate g(x)=2x-9 at the given value of x. g(b+1). Answer: g(b+1)= 2b- 7 ⩥ Evaluate g(x)equals=2 x squared - 5 x at the given value of x. g(-3). Answer: g(-3)= 33 ⩥ For g(x) =- 3 x squared +2x find the following. g(-5). Answer: g(-5)= - 85 ⩥ For h(x)=8, find the following
h(6). Answer: h(6)= ⩥ Let f(x)=-5.67x+169.97. Find f(12.07) f(12.07). Answer: F(12.07)=101. ⩥ Refer to the table. Find f(3) X f(x) 1 5 2 3 3 6 4 3 5 5 F(3)=. Answer: f(3)= ⩥ Find all x-intercepts and y-intercepts. If no intercept exists, say so. f(x)=5x+8. Answer: The x-intercept(s) is(are) (−8/5,0)
⩥ Write the equation of the line, with the given properties, in slope- intercept form. Slope= - 7, through (-4,7) The equation of the line is. Answer: The equation of the line is y= - 7x- 21 ⩥ Find an equation of the line that has the slope mequals=0 and contains the point left parenthesis 8 comma 4 right parenthesis(8,4). If possible, write the equation in slope-intercept form. Check that the ordered pair that represents the given point satisfies the equation. The equation of the line is. Answer: The equation of the line is y= ⩥ Find an equation of the line that passes through the two given points. If possible, write the equation in slope-intercept form. Check that the graph of the equation contains the given points. (-2,-5) and (3,5). Answer: The resulting equation of the line is y=2x- 1
⩥ Find an equation of the line that passes through the two given points. If possible, write the equation in slope-intercept form. Check that the graph of the equation contains the given points (0,5) and (5,-5). Answer: The resulting equation of the line is y=- 2x+ ⩥ Let y be the value (in thousands of dollars) of a car when it is x years old. Some pairs of values of x and y are listed in the table. Find an equation that describes the relationship between x and y. Age (years),x Value(thous of $),y 0 46 1 41 2 36 3 31 4 26 The equation that describes the relationship between x and y is y equals=. Answer: The equation that describes the relationship between x and y is y equals= - 5x+
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.. Answer: - 5 ⩥ The table to the right shows the percentages of teachers who say they are "very satisfied" with teaching for various years. Let p be the percentage of teachers who are "very satisfied" with teaching at t years since 1980. A reasonable model is p=0.91t+38. 48 a. What is the slope? What does it mean in this situation? b. In which years will more than 75% of teachers be "very satisfied" with teaching? Year Percent 1984 42 1989 46 1995 54 2001 52 2003 60 a. What is the slope of the line p=0.91t +38.48? What does the slope mean in this situation?
The of teachers who are "very satisfied" with teaching is increasing by 0.91 per year. b. The percentage of teachers who are "very satisfied" with teaching will be more than after. Answer: 1a. 0. 2a. percentage , percentage points b. 2020 ⩥ Combine like terms when possible. 4x^3-7x. Answer: They can not be combined. ⩥ For the function f (x)equals= - 5x squared-3x+ find f(2) f(2)=. Answer: f(2)= - 23 ⩥ For the function f (x)equals= - 6x squared - 3x+ 1 find f(0).
x^2+4x- 45 ⩥ Multiply 4(x+2). Answer: 4x+ ⩥ Factor 4x+8. Answer: 4(x+2) ⩥ Multiply (x+4)(x+3). Answer: x^2+7x+ ⩥ x^2+36. Answer: Prime ⩥ Fact x^2-36. Answer: (x+6)(x-6) ⩥ Factor 3x+21. Answer: answer: 3(x+7)
⩥ Factor: 6x+8. Answer: 2(3x+4) ⩥ A student tries to factor as follows. Describe any errors that were made. 5x^3-4= 5x(x^2-9). Answer: 5x^3-45x 5x(x^2-9) 5x(x+3)(x-3) ⩥ The AC Method: 9y^2+6y+1. Answer: Mult Add +9 + 3,3 6 9y^2+3y+3y+ 3y(3y+1)+1(3y+1)
⩥ y=x^ fill in the y value: X Y
- 2 0 2 Where is the vertex: Why does this open "up"?. Answer: A. Y values: 4,0, B. (0,0) C. a> ⩥ Find the x-intercept, y-intercept and find the vertex. y=4x^2-8x a. x-intercept(s)= b. y-intercept(s)= c. Vertex:. Answer: a. (0,0) and (2,0)
work: o=4x^2-8x 0=4x(x-2) 4x=0 x-2= x=0 x= answers: (0,0) and (2,0) b. y=4(0)^2-8(0) y= Answer: (0,0) c. 8 ____ = 1 2(4) y=4(1)^2-8(1) y=- 4 ⩥ 3 squared. Answer: 3*3= ⩥ square root of 9. Answer: 3 ⩥ - Square root of 9. Answer: - 3
⩥ x^2=81. Answer: x=-9, x=+-√ ⩥ Perfect Square Trinomials x^2+8x+16. Answer: (x+3)^ ⩥ Factor 5x^2-10=0. Answer: 5x^2= divide 5 from both sides x^2= x=+- Square root of 2 x=-2, ⩥ F(x) x+ ____________________Find F(-1),(2),(-3) x^2-9. Answer: F(-1)= 0 f(2)=-3/ f(-3)= Undefind ⩥ Evaluate
The ski club at a community college plans to spend $1100 to charter a bus for a ski trip. Each student will also pay $380 for food, lodging and ski lift ticket. A. Let C(n) be the total cost (in dollars per student) for n students going on the trip. Find an equation of C. B. let M(n) be the mean cost per student if n students go on the trip. Find an equation of M. C. What is the mean cost per student if 30 students go? D. The ski trip will be cancelled unless the mean cost per student is $ or less. What is the minimum number of students needed t go on the trip?. Answer: A. C(n)= 380 n+ B. M(n)= 380+1100/n C. M(30)= $416. D. n= 22 students ⩥ Simplify q^-6. Answer: 1/q^ ⩥ 2^-2. Answer: 1/
