1.write an algebraic expression to represent "five plus quotient of r and 14" a. 5+14r b. 5+14 c. 5+ r/14 d. 5- r/14 2.write an equation to represent the statement " four less than the product of three and x is twenty-three a. 3x - 4 = 23 b. 4 - 3x = 23 c. 4x - 3 = 23 d.3 - 4x = 23 3.solve the next 2 problems using mental math 4y + 3 = 19 a. 4 b. 5 c.5.5 d.64 4. 2 + 3m = 17 a. 7 b. 6 c. 10 d. 5 4. solving using mental math 2 + 3m = 17 a. 7 b. 6 c. 10 d. 5

1. five plus quotient of r and 14

"+" plus; "÷" quotient

5 + r ÷ 14 = 5 + r/14 → C.

2. four less than the product of three and x is twenty-three

"-" less, "·" product

3 · x - 4 = 23

3x - 4 = 23 → A.

3. 4y + 3 = 19   |-3

4y = 16 → y = 4 → A.

4. 2 + 3m = 17   |-2

3m = 15 → m = 5 → D.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is