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MATH 110 MODULE 6 PORTAGE LEARNING
CERTIFICATION EVALUATION TEST 2026
FULL SOLVED QUESTIONS ACCURATE
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.
⩥ Determine whether the relation is a function. Explain. x=6. Answer: No, because the graph of the relation is a vertical line and so there is a vertical line that intersects its graph at more than one point. ⩥ Determine whether the relation is a function. Explain. 4x-5y=29+5(y-2x). Answer: Yes, because the equation can be written in the form y=mx+b, where m and b are constants. ⩥ 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)
Find all y-intercepts. Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. The y-intercept is (0,8) ⩥ A student tries to find x when f(x)=4 for f(x)=x+1 as shown below f(4)=4+1= Describe any errors. Then find x correctly. a. The student substituted 1 for f(x) instead of 4. b. The student substituted 1 for f(x) instead of 4. c. The student substituted 4 for f(x) instead of for x. d. The student substituted 4 for x instead of for f(x). What is the correct value of x? x=. Answer: d. The student substituted 4 for x instead of for f(x). x=
⩥ 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
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+ ⩥ The number of legislators has increased approximately linearly from 1139 positions in 2003 to 1209 positions in 2008. Let n be the number of legislators at t years since 2000. Find an equation of a linear model to describe the data. An equation of a linear model that describes the data is. Answer: An equation of a linear model that describes the data is n=14t+ ⩥ Decide whether the given inequality is true or false.
- 3>- 3 Is the inequality true or false? a. True b. False. Answer: B.
⩥ Which of the given numbers satisfy the given inequality? 3x ⩥ 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). f(0)=. Answer: f(0)= ⩥ For f (x) 3x square - 4x + 8 and g(x)= 8x squared + 6x-4 find the equation of the given function; then evaluate the function at the indicated value. f+g,(f+g)(3) f+g= (f+g)(3)=. Answer: f+g= 11x^2+2x+ (f+g)(3)= 109
⩥ Find the product. x^16x^4. Answer: x^ ⩥ Find the product. yy^6. Answer: y^ ⩥ Find the product. (x-5)(x+9). Answer: (x-5)(x+9)= x^2+4x- 45 ⩥ Multiply 4(x+2). Answer: 4x+ ⩥ Factor
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)
Answer is (3y+1)^ ⩥ The AC Method: x^2-3x-1. Answer: Prime ⩥ Solve (x+4)(x-7)=0. Answer: x+4=0 x-7= x=-4 x= ⩥ x(x-5)=0. Answer: x=0 x-5= x= x= (0,5) ⩥ Give an example of a quadratic equation in one variable whose solution are:
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 ⩥ square root of 0. Answer: 0 ⩥ square root of - 9. Answer: Not a real number ⩥ square root of 36. Answer: 6 ⩥ Is the square root rational or irrational... square root of 256.
