Subskills 1-3 SAT

 $\frac{1}{4}v=2+3$  

Given the above equation, what is the value of  $6v-17+18-19+20$  ?

• 14

• 32

• 122

• 144

 $8x+5=bx−7$  
In the equation shown above, b is a constant. For what value of b does the equation have no solutions?

• -8

• -7

• 5

• 8

 $2/3\ −\ 5x=bx+1/3$  
In the equation shown above, b is a constant. For what value of b does the equation have no solutions?

• 5

• 0

• -5

• 2/3

fx+4= -11+2(x+3)

In the equation shown above, f is a constant. For what value of f does the equation have no solutions?

• 1

• 2

• 3

• 4

If 7y+2=6(y-1)+3, what is the value of y-1?

• -6

• -5

• 5

• 6

C=1.5(11.4+m)

An auto repair company finds that the average monthly maintenance cost, C, in dollars for a particular model of car used for m months is given by the equation above. What is the number of additional months of use such that the corresponding additional monthly maintenance cost is equal to the initial monthly maintenance cost of an unused car?

(a)  

18 = 12C + 13S

A batch of hard candy needs C gallons of corn syrup and S gallons of sucrose to create 18 pounds of sweetener as shown in the equation above. What is the increase in the amount of corn syrup in gallons if the amount of sucrose decreases by 1 gallon?

(a)  

M⋅V = P⋅Q

The quantitative theory of money states that given M dollars in circulation in a year, a monetary velocity of V, a price level of P, and a real output of Q dollars, the above equation is correct. An economist considers the case where the dollars in circulation and the real output are known constants. Which of the following expressions is the change in monetary velocity as the price level increases by 1?

• M

• Q

• M/Q

• Q/M

S = 0.014t + 0.19

Mechanical engineers determine that the maximum stress, S, in megapascals on a bridge with an additional mass of t metric tonnes uniformly spread across the bridge is given by the equation above. What is the best interpretation of the expression 0.014t as shown in the equation above?

• The portion of maximum stress due to the additional mass alone is 0.014t megapascals.

• The portion of maximum stress due to the mass of the bridge alone is 0.014t megapascals.

• The change in additional mass associated with a 1 megapascal in the stress is 0.014t metric tonnes.

• The change in additional mass associated with a 1 metric tonnes in the stress is 0.014t megapascals.

T=0.125(I-8,225)

The amount of tax, T, in dollars to be paid by an individual with an income of I between 8,225 and 34,500 dollars is given by the equation above. Tax is paid from the portion of income above 8,225 dollars and the remaining amount becomes a part of disposable income. What percentage of income above 8,225 dollars remains after paying tax for an individual whose income falls within the specified range?

Note: Don’t include the % sign when entering your response.

(a)