MATH 110 MODULE 5 CERTIFICATION
SCRIPT 2026 QUESTIONS WITH SOLUTIONS
GRADED A+
◍ For h(x)=8, find the following h(6).
Answer: h(6)=8
◍ R=logp^9.
Answer: 9=p^r
◍ 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+38.48a. 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 421989 461995 542001 52 2003
60a. 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. 0.912a. percentage , percentage pointsb. 2020
◍ Perfect Square Trinomials x^2+8x+16.
Answer: (x+3)^2
◍ 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
0 461 412 363 314 26The 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+46
◍ Simplifyq^-6.
Answer: 1/q^6
◍ Decide whether the given inequality is true or false. -3>-3 Is the inequality
true or false?a. True b. False.
Answer: B.
◍ Solve(x+4)(x-7)=0.
Answer: x+4=0 x-7=0x=-4 x=7
◍ Multiply (x+4)(x+3).
Answer: x^2+7x+12
◍ 3 squared.
Answer: 3*3=9
◍ Factor 4x+8.
Answer: 4(x+2)
◍ For the function f (x)equals= -6x squared -3x+ 1 find f(0).f(0)=.
Answer: f(0)=1
◍ Find the product.(x-5)(x+9).
Answer: (x-5)(x+9)=x^2+4x-45
◍ square root of -9.
Answer: Not a real number
◍ x^2+36.
Answer: Prime
◍ A student tries to factor as follows. Describe any errors that were made.
5x^3-4= 5x(x^2-9).
Answer: 5x^3-45x5x(x^2-9) 5x(x+3)(x-3)
◍ 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.
SCRIPT 2026 QUESTIONS WITH SOLUTIONS
GRADED A+
◍ For h(x)=8, find the following h(6).
Answer: h(6)=8
◍ R=logp^9.
Answer: 9=p^r
◍ 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+38.48a. 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 421989 461995 542001 52 2003
60a. 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. 0.912a. percentage , percentage pointsb. 2020
◍ Perfect Square Trinomials x^2+8x+16.
Answer: (x+3)^2
◍ 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
0 461 412 363 314 26The 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+46
◍ Simplifyq^-6.
Answer: 1/q^6
◍ Decide whether the given inequality is true or false. -3>-3 Is the inequality
true or false?a. True b. False.
Answer: B.
◍ Solve(x+4)(x-7)=0.
Answer: x+4=0 x-7=0x=-4 x=7
◍ Multiply (x+4)(x+3).
Answer: x^2+7x+12
◍ 3 squared.
Answer: 3*3=9
◍ Factor 4x+8.
Answer: 4(x+2)
◍ For the function f (x)equals= -6x squared -3x+ 1 find f(0).f(0)=.
Answer: f(0)=1
◍ Find the product.(x-5)(x+9).
Answer: (x-5)(x+9)=x^2+4x-45
◍ square root of -9.
Answer: Not a real number
◍ x^2+36.
Answer: Prime
◍ A student tries to factor as follows. Describe any errors that were made.
5x^3-4= 5x(x^2-9).
Answer: 5x^3-45x5x(x^2-9) 5x(x+3)(x-3)
◍ 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.
