Math

06 Aug Math

1. a. Evaluate 4(x+4y) when x equals x=3 and y=1.

    4(x+4y) = [removed]

    b. Is the number you obtained in part  (a) a solution of 5z−76=64? no or yes?

2. Simplify the algebraic expression.  5(4x+4)−17

3. Evaluate the algebraic expression for the given value of the variable.8y – 3y^2
y^2 -6

4. Solve the equation. Use words or set notation to identify that the equation has no solutions or the equation is true for all real numbers.3+3(3x−6)=8−3(2x+1)

Select the correct choice below  and, if  necessary, fill in the answer box to complete your choice.

A.    The solution set is [removed].(Type an integer or a simplified fraction. Use a comma to separate answers as  needed.)

B.    All real numbers are solutions.

C.    The equation has no solution

5. Solve the formula for the specified variable.A=P+PRT for R.

R= [removed]

6. Use both the addition and multiplication properties of inequality to solve the inequality and graph the solution on a number line.4 (x plus 1) – 8 < 3 x + 5

Select the correct choice below  and, if  necessary, fill in the answer box to complete your choice.

A.    The solution set is [removed] (Type your answer in interval  notation.)

B.    The solution set is ∅ , the empty set.

What is the graph of the solution  set?.

 

 

7. For the equation given  below, complete parts a through b.

4 x + y = 2

a.     Put the equation in  slope-intercept form by solving for y.

y = [removed](Simplify your  answer.)

b.    Identify the slope. Select the correct choice below  and, if  necessary, fill in the answer box to complete your choice.

A. The slope is [removed]

(Type an integer or a simplified  fraction.)

B.The slope is undefined

 

Identify the  y-intercept. Select the correct choice below  and, if  necessary, fill in the answer box to complete your choice.

A.    The  y-intercept is [removed](Type an integer or a simplified  fraction.)

B.    There is no y- intercept

 

8. Find the indicated function values for the function below.

 

f(x) =  6 x – 5

x−3

a. f(0)=[removed](Simplify your  answer.)

b. f(1)=[removed](Simplify your  answer.)

c. f(−1)=[removed](Simplify your  answer.)

d. f(a+h)=[removed](Simplify your  answer.)

 

e. Why must 33 be excluded from the domain of  f? Choose the correct answer below.

 

A.    This value of x would make the denominator zero.

B.    This value of x would make the denominator undefined.

C.    This value of x would make the denominator positive.

D.    This value of x would make the denominator negative.

 

9. Add the polynomials. Add the polynomials.(6×2−4x+4)+(x2+2x+9)

The sum is [removed](Simplify your answer. Do not factor. )

 

10.Subtract the polynomials. (7y3+2y2−y)−(5−y2−3y+7)

The difference is [removed] (Simplify your  answer.)

 

11. Divide the polynomial by the monomial. Check the answer by showing that the product of the divisor and the quotient is the dividend.

2×7−30×5−6×4

6×3

12. Divide as indicated.12×2+16x−7÷15×2+20×2−49

 

`13.A rectangular parking lot has a length that is 3 yards greater than the width. The area of the parking lot is 270square yards. Find the length and the width.

The parking lot has a width of

The parking lot has a width of

 

14 f (x ) =x2−6x and g (x ) =8−x

Find (f−g )(x) and (f −g )(2 ).

 

(f−g )(x )=[removed](Simplify your  answer.)

(f−g )(2 ) =[removed]

 

15.Let

f (x )=x2+4x and g (x ) =2−x. Find (fg)(−3 ).

(fg)(−3 )=[removed](Simplify your  answer.)

 

 

16. Let f (x ) =x2+7x and g (x ) =5−x.

Find fg(x) and fg (8 ).

fg(x)=[removed](Simplify your  answer.)

fg (8 )=[removed](Type an integer or  fraction.)

 

17. For f(x)=4x−3 and g(x)=3×2−4 find the following.

a. What is (f◦g)(x) ?

(f◦g)(x)=[removed](Simplify your  answer.)

b. What is (g◦f)(x) ?

(g◦f)(x)=[removed](Simplify your  answer.)

c. What is (f◦g)(2)?

(f◦g)(2)equals=[removed](Simplify your  answer.)

 

 

Find the inverse of the  one-to-one function.

f(x)=9x+5

f−1(x)=[removed](Use integers or fractions for any numbers in the  expression.)